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US5121340A Expired / Lapsed US ⏱️ 0.0 years remaining

Multi-level probe and system for measurement of physical conditions in liquid-containing tanks

Assignee: Campbell Scientific Inc
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Filing: 1990-06-08
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Granted: 1992-06-09
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Expires: 2010-06-08
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Abstract

Abstract A multi-level probe for sonic range measurements utilizes a plurality of parallel reflectors that each include an opening arranged coaxially about a beam of ultrasonic energy transmitted along a reference axis from an associated transducer. The opening in each reflector permits most of the sonic energy to pass to a subsequent reflective surface, while the periphery about the opening provides echo signals for determining physical conditions in the environment through which the sonic energy has passed. A novel system is used for determining physical conditions that are a function of time differences between signals from different reflectors, calculated with a highly efficient digital signal processing algorithm.

Inventors

  • 👤 Eric Campbell
  • 👤 Gaylon Campbell
  • 👤 Jeff Norton
  • 👤 Art Heers

Bibliographic Details

Application Number —
Jurisdiction US
Data Source google_patents
Last Synchronized 2026-11-05 22:33
CPC Classifications
G; G01; G01N; G01N29/00; G01N29/02; G01N29/024; G01F; G01F23/00; G01F23/22; G01F23/28; G01F23/296; G01F23/2962; G01H; G01H5/00; G01N2291/00; G01N2291/02; G01N2291/028; G01N2291/02818; G01N2291/02836; Y; Y10; Y10S; Y10S181/00; Y10S181/40; Y10S181/402; Y10S367/00; Y10S367/908

Claims Analysis

Total Claims: 57
Claim 1
Independent Claim 98 words
An apparatus for sonic measurement of physical conditions within a liquid, comprising: a vertical support; sonic transducer means for transmitting a beam of sonic energy upwardly along the support and for receiving downwardly reflected portions of the beam; and a plurality of transverse reflectors spaced apart from one another along an axis on the support, the reflectors each including an opening arranged coaxially about the axis for permitting passage through the opening of a substantial percentage of a conically shaped beam of sonic energy directed upwardly along the axis while also downwardly reflecting outer portions of the beam.
Claim 2
Independent Claim 98 words
An apparatus for sonic measurement of physical conditions within a liquid, comprising: a vertical support; sonic transducer means for transmitting a beam of sonic energy upwardly along the support and for receiving downwardly reflected portions of the beam; and a plurality of transverse reflectors spaced apart from one another along an axis on the support, the reflectors each including an opening arranged coaxially about the axis for permitting passage through the opening of a substantial percentage of a conically shaped beam of sonic energy directed upwardly along the axis while also downwardly reflecting outer portions of the beam.
Claim 3
Independent Claim 87 words
An apparatus for sonic measurement of physical conditions within a liquid, comprising: a support; a plurality of transverse reflectors spaced apart from one another along an axis on the support, the reflectors each including an opening arranged about the axis for permitting passage through the opening of a substantial percentage of a conically shaped beam of sonic energy directed along the axis while also reflecting outer portions of the beam, at least some of the openings being bounded by a periphery including a transversely rounded reflective surface.
Claim 4
Independent Claim 87 words
An apparatus for sonic measurement of physical conditions within a liquid, comprising: a support; a plurality of transverse reflectors spaced apart from one another along an axis on the support, the reflectors each including an opening arranged about the axis for permitting passage through the opening of a substantial percentage of a conically shaped beam of sonic energy directed along the axis while also reflecting outer portions of the beam, at least some of the openings being bounded by a periphery including a transversely rounded reflective surface.
Claim 5
Independent Claim 94 words
An apparatus for sonic measurement of physical conditions within a liquid, comprising: a support; a plurality of transverse reflectors spaced aprat from one another along an axis on the support, the reflectors each including an opening arranged about the axis for permitting passage through the opening of a substantial percentage of a conically shaped beam of sonic energy directed along the axis while also reflecting outer portions of the beam, at least some of the openings being bounded by a circular periphery coaxially positioned about the axis and including a transversely rounded reflective surface.
Claim 6
Independent Claim 94 words
An apparatus for sonic measurement of physical conditions within a liquid, comprising: a support; a plurality of transverse reflectors spaced aprat from one another along an axis on the support, the reflectors each including an opening arranged about the axis for permitting passage through the opening of a substantial percentage of a conically shaped beam of sonic energy directed along the axis while also reflecting outer portions of the beam, at least some of the openings being bounded by a circular periphery coaxially positioned about the axis and including a transversely rounded reflective surface.
Claim 7
Independent Claim 86 words
An apparatus for sonic measurement of physical conditions within a liquid, comprising: a support; a plurality of transverse reflectors spaced apart from one another along an axis on the support, the reflectors each including an opening arranged about the axis for permitting passage through the opening of a substantial percentage of a conically shaped beam of sonic energy directed along the axis while also reflecting outer portions of the beam, each reflector being an annular ring having a toroidal surface area serving as it reflective surface.
Claim 8
Independent Claim 86 words
An apparatus for sonic measurement of physical conditions within a liquid, comprising: a support; a plurality of transverse reflectors spaced apart from one another along an axis on the support, the reflectors each including an opening arranged about the axis for permitting passage through the opening of a substantial percentage of a conically shaped beam of sonic energy directed along the axis while also reflecting outer portions of the beam, each reflector being an annular ring having a toroidal surface area serving as it reflective surface.
Claim 9
Independent Claim 155 words
An apparatus for sonic measurement of physical conditions within a liquid, comprising: sonic transducer means for transmitting energy in an upwardly-directed, conically shaped beam centered about a reference axis and for producing output signals as a function of reflected energy returned downwardly to the sonic transducer means; a plurality of reflectors each having an opening centered about the reference axis and bounded by a peripheral reflective surface, the reflectors being transversely positioned at preselected locations along the reference axis with their reflective surfaces directed downwardly toward the sonic transducer means for permitting passage through the openings of a substantial percentage of a conically shaped beam of sonic energy directed along the reference axis by the sonic transducer means while also downwardly reflecting outer portions of the beam; and support means carrying both the sonic transducer means and the reflectors for positioning the reflectors above the sonic transducer means in vertical alignment along the reference axis.
Claim 10
Independent Claim 155 words
An apparatus for sonic measurement of physical conditions within a liquid, comprising: sonic transducer means for transmitting energy in an upwardly-directed, conically shaped beam centered about a reference axis and for producing output signals as a function of reflected energy returned downwardly to the sonic transducer means; a plurality of reflectors each having an opening centered about the reference axis and bounded by a peripheral reflective surface, the reflectors being transversely positioned at preselected locations along the reference axis with their reflective surfaces directed downwardly toward the sonic transducer means for permitting passage through the openings of a substantial percentage of a conically shaped beam of sonic energy directed along the reference axis by the sonic transducer means while also downwardly reflecting outer portions of the beam; and support means carrying both the sonic transducer means and the reflectors for positioning the reflectors above the sonic transducer means in vertical alignment along the reference axis.
Claim 11
Independent Claim 133 words
An apparatus for sonic measurement of physical conditions within a liquid, comprising: sonic transducer means for transmitting energy in a conically shaped beam centered about a reference axis and for producing output signals as a function of reflected energy returned to the sonic transducer means; and a plurality of reflectors each having an opening centered about the reference axis and bounded by a peripheral reflective surface, the reflectors being transversely positioned at preselected locations along the reference axis with their reflective surfaces directed toward the sonic transducer means for permitting passage through the openings of a substantial percentage of a conically shaped beam of sonic energy directed along the reference axis by the sonic transducer means while also reflecting outer portions of the beam, the reflective surface of each reflector being transversely rounded.
Claim 12
Independent Claim 133 words
An apparatus for sonic measurement of physical conditions within a liquid, comprising: sonic transducer means for transmitting energy in a conically shaped beam centered about a reference axis and for producing output signals as a function of reflected energy returned to the sonic transducer means; and a plurality of reflectors each having an opening centered about the reference axis and bounded by a peripheral reflective surface, the reflectors being transversely positioned at preselected locations along the reference axis with their reflective surfaces directed toward the sonic transducer means for permitting passage through the openings of a substantial percentage of a conically shaped beam of sonic energy directed along the reference axis by the sonic transducer means while also reflecting outer portions of the beam, the reflective surface of each reflector being transversely rounded.
Claim 13
Independent Claim 220 words
An apparatus for sonic measurement of physical conditions within a liquid, comprising: sonic transducer means for transmitting energy in a conically shaped beam centered about a reference axis and for producing output signals as a function of reflected energy returned to the sonic transducer means; a plurality of reflectors each having an opening centered about the reference axis and bounded by a peripheral reflective surface, the reflectors being transversely positioned at preselected locations along the reference axis with their reflective surfaces directed toward the sonic transducer means for permitting passage through the openings of a substantial percentage of a conically shaped beam of sonic energy directed along the reference axis by the sonic transducer means while also reflecting outer portions of the beam; and signal processor means for: repetitively measuring the value of the instantaneous amplitude of the reflected energy at the sonic transducer, the values of the instantaneous amplitude of the reflected energy being represented by x i , x i+1 , . . . , x i+n , where n+1 represents the total number of values measured; and determining the phase angle θ between the transmitted energy and the reflected energy by the equation: ##EQU5## where t j represents the time when the value x j was measured and ω=2π/T is the radian frequency of the transmitted energy.
Claim 14
Independent Claim 220 words
An apparatus for sonic measurement of physical conditions within a liquid, comprising: sonic transducer means for transmitting energy in a conically shaped beam centered about a reference axis and for producing output signals as a function of reflected energy returned to the sonic transducer means; a plurality of reflectors each having an opening centered about the reference axis and bounded by a peripheral reflective surface, the reflectors being transversely positioned at preselected locations along the reference axis with their reflective surfaces directed toward the sonic transducer means for permitting passage through the openings of a substantial percentage of a conically shaped beam of sonic energy directed along the reference axis by the sonic transducer means while also reflecting outer portions of the beam; and signal processor means for: repetitively measuring the value of the instantaneous amplitude of the reflected energy at the sonic transducer, the values of the instantaneous amplitude of the reflected energy being represented by x i , x i+1 , . . . , x i+n , where n+1 represents the total number of values measured; and determining the phase angle θ between the transmitted energy and the reflected energy by the equation: ##EQU5## where t j represents the time when the value x j was measured and ω=2π/T is the radian frequency of the transmitted energy.
Claim 15
Independent Claim 243 words
An apparatus for sonic measurement of physical conditions within a liquid, comprising: sonic transducer means for transmitting energy in a conically shaped beam centered about a reference axis and for producing output signals as a function of reflected energy returned to the sonic transducer means; a plurality of reflectors each having an opening centered about the reference axis and bounded by a peripheral reflective surface, the reflectors being transversely positioned at preselected locations along the reference axis with their reflective surfaces directed toward the sonic transducer means for permitting passage through the openings of a substantial percentage of a conically shaped beam of sonic energy directed along the reference axis by the sonic transducer means while also reflecting outer portions of the beam; and signal processor means for: repetitively measuring the value of the instantaneous amplitude of the reflected energy at the sonic transducer, the values of the instantaneous amplitude of the reflected energy being represented by x i , x i+1 , . . . , x i+n , where n+1 represents the total number of values measured; and determining the phase angle θ between the transmitted energy and the reflected energy by the equation: ##EQU6## where t j represents the time when the value x j was measured and ω=2π/T is the radian frequency of the transmitted energy; and determining the quadrant of θ from the signs of the numerator and denominator in the equation used to determine the phase angle.
Claim 16
Independent Claim 243 words
An apparatus for sonic measurement of physical conditions within a liquid, comprising: sonic transducer means for transmitting energy in a conically shaped beam centered about a reference axis and for producing output signals as a function of reflected energy returned to the sonic transducer means; a plurality of reflectors each having an opening centered about the reference axis and bounded by a peripheral reflective surface, the reflectors being transversely positioned at preselected locations along the reference axis with their reflective surfaces directed toward the sonic transducer means for permitting passage through the openings of a substantial percentage of a conically shaped beam of sonic energy directed along the reference axis by the sonic transducer means while also reflecting outer portions of the beam; and signal processor means for: repetitively measuring the value of the instantaneous amplitude of the reflected energy at the sonic transducer, the values of the instantaneous amplitude of the reflected energy being represented by x i , x i+1 , . . . , x i+n , where n+1 represents the total number of values measured; and determining the phase angle θ between the transmitted energy and the reflected energy by the equation: ##EQU6## where t j represents the time when the value x j was measured and ω=2π/T is the radian frequency of the transmitted energy; and determining the quadrant of θ from the signs of the numerator and denominator in the equation used to determine the phase angle.
Claim 17
Independent Claim 290 words
An apparatus for sonic measurement of physical conditions within a liquid, comprising: sonic transducer means for transmitting energy in a conically shaped beam centered about a reference axis and for producing output signals as a function of reflected energy returned to the sonic transducer means; a plurality of reflectors each having an opening centered about the reference axis and bounded by a peripheral reflective surface, the reflectors being transversely positioned at preselected locations along the reference axis with their reflective surfaces directed toward the sonic transducer means for permitting passage through the openings of a substantial percentage of a conically shaped beam of sonic energy directed along the reference axis by the sonic transducer means while also reflecting outer portions of the beam; and signal processor means for: repetitively measuring the value of the instantaneous amplitude of the reflected energy at the sonic transducer, the values of the instantaneous amplitude of the reflected energy being represented by x i , x i+1 , . . . , x i+n , where n+1 represents the total number of values measured; and determining the phase angle θ between the transmitted energy and the reflected energy by the equation: ##EQU7## where t j represents the time when the value x j was measured and ω=2π/T is the radian frequency of the transmitted energy; determining the quadrant of θ from the signs of the numerator and denominator in the equation used to determine the phase angle; determining the number of integral periods T which elapsed from the first peak of the transmitted energy to the first peak of the reflected energy, the number of integral periods being designated as β; and calculating the propagation time of the output signals by the equation: t.sub.p =T(β+θ/2π).
Claim 18
Independent Claim 290 words
An apparatus for sonic measurement of physical conditions within a liquid, comprising: sonic transducer means for transmitting energy in a conically shaped beam centered about a reference axis and for producing output signals as a function of reflected energy returned to the sonic transducer means; a plurality of reflectors each having an opening centered about the reference axis and bounded by a peripheral reflective surface, the reflectors being transversely positioned at preselected locations along the reference axis with their reflective surfaces directed toward the sonic transducer means for permitting passage through the openings of a substantial percentage of a conically shaped beam of sonic energy directed along the reference axis by the sonic transducer means while also reflecting outer portions of the beam; and signal processor means for: repetitively measuring the value of the instantaneous amplitude of the reflected energy at the sonic transducer, the values of the instantaneous amplitude of the reflected energy being represented by x i , x i+1 , . . . , x i+n , where n+1 represents the total number of values measured; and determining the phase angle θ between the transmitted energy and the reflected energy by the equation: ##EQU7## where t j represents the time when the value x j was measured and ω=2π/T is the radian frequency of the transmitted energy; determining the quadrant of θ from the signs of the numerator and denominator in the equation used to determine the phase angle; determining the number of integral periods T which elapsed from the first peak of the transmitted energy to the first peak of the reflected energy, the number of integral periods being designated as β; and calculating the propagation time of the output signals by the equation: t.sub.p =T(β+θ/2π).
Claim 19
Independent Claim 244 words
An apparatus for sonic measurement of physical conditions within a liquid, comprising: sonic transducer means for transmitting energy in a conically shaped beam centered about a reference axis and for producing output signals as a function of reflected energy returned to the sonic transducer means; a plurality of reflectors each having an opening centered about the reference axis and bounded by a peripheral reflective surface, the reflectors being transversely positioned at preselected locations along the reference axis with their reflective surfaces directed toward the sonic transducer means for permitting passage through the openings of a substantial percentage of a conically shaped beam of sonic energy directed along the reference axis by the sonic transducer means while also reflecting outer portions of the beam; and signal processor means for: repetitively measuring the value of the instantaneous amplitude of the reflected energy at the source transducer for a duration of cT, where c is an integer, the values of the instantaneous amplitude of the reflected energy being represented by x i , x i+1 , . . . , x i+n , where n+1 represents the total number of values measured and n+1=cm, where m equals the number of samples taken during each period T; and determining the phase angle θ between the transmitted energy and the reflected energy by the equation: ##EQU8## where t j represents the time when the value x j was measured and ω=2π/T is the radian frequency of the transmitted energy.
Claim 20
Independent Claim 244 words
An apparatus for sonic measurement of physical conditions within a liquid, comprising: sonic transducer means for transmitting energy in a conically shaped beam centered about a reference axis and for producing output signals as a function of reflected energy returned to the sonic transducer means; a plurality of reflectors each having an opening centered about the reference axis and bounded by a peripheral reflective surface, the reflectors being transversely positioned at preselected locations along the reference axis with their reflective surfaces directed toward the sonic transducer means for permitting passage through the openings of a substantial percentage of a conically shaped beam of sonic energy directed along the reference axis by the sonic transducer means while also reflecting outer portions of the beam; and signal processor means for: repetitively measuring the value of the instantaneous amplitude of the reflected energy at the source transducer for a duration of cT, where c is an integer, the values of the instantaneous amplitude of the reflected energy being represented by x i , x i+1 , . . . , x i+n , where n+1 represents the total number of values measured and n+1=cm, where m equals the number of samples taken during each period T; and determining the phase angle θ between the transmitted energy and the reflected energy by the equation: ##EQU8## where t j represents the time when the value x j was measured and ω=2π/T is the radian frequency of the transmitted energy.
Claim 21
Independent Claim 264 words
An apparatus for sonic measurement of physcial conditions with a liquid, comprising: sonic transducer means for transmitting energy in a conically shaped beam centered about a reference axis for producing output signals as a function of reflected energy returned to the sonic transducer means; a plurality of reflectors each having an opening centered about the reference axis and bounded by a peripheral reflective surface, the reflectors being transversely positioned at preselected locations along the reference axis with their reflective surfaces directed toward the sonic transducer means for permitting passage through the openings of a substantial percentage of a conically shaped beam of sonic energy directed along the reference axis by the sonic transducer means while also reflecting outer portions of the beam; and signal processor means for: repetitively measuring the value of the instantaneous amplitude of the reflected energy at the source transducer for a duration of cT, where c is an integer, the values of the instantaneous amplitude of the reflected energy being by x i , x i+1 , . . . , x i+n , where n+1 represents the total number of values measured and n+1=cm, where m equals the number of samples taken during each period T; determining the phase angle θ between the transmitted energy and the reflected energy by the equation: ##EQU9## where t j represents the time when the value x j was measured and ω=2π/T is the radian frequency of the transmitted energy; and determining the quadrant of θ from the signs of the numerator and denominator in the equation used to determine the phase angle.
Claim 22
Independent Claim 264 words
An apparatus for sonic measurement of physcial conditions with a liquid, comprising: sonic transducer means for transmitting energy in a conically shaped beam centered about a reference axis for producing output signals as a function of reflected energy returned to the sonic transducer means; a plurality of reflectors each having an opening centered about the reference axis and bounded by a peripheral reflective surface, the reflectors being transversely positioned at preselected locations along the reference axis with their reflective surfaces directed toward the sonic transducer means for permitting passage through the openings of a substantial percentage of a conically shaped beam of sonic energy directed along the reference axis by the sonic transducer means while also reflecting outer portions of the beam; and signal processor means for: repetitively measuring the value of the instantaneous amplitude of the reflected energy at the source transducer for a duration of cT, where c is an integer, the values of the instantaneous amplitude of the reflected energy being by x i , x i+1 , . . . , x i+n , where n+1 represents the total number of values measured and n+1=cm, where m equals the number of samples taken during each period T; determining the phase angle θ between the transmitted energy and the reflected energy by the equation: ##EQU9## where t j represents the time when the value x j was measured and ω=2π/T is the radian frequency of the transmitted energy; and determining the quadrant of θ from the signs of the numerator and denominator in the equation used to determine the phase angle.
Claim 23
Independent Claim 313 words
An apparatus for sonic measurement of physical conditions within a liquid, comprising: sonic transducer means for transmitting energy in a conically shaped beam centered about a reference axis and for producing output signals as a function of reflected energy returned to the sonic transducer means; a plurality of reflectors each having an opening centered about the reference axis and bounded by a peripheral reflective surface, the reflectors being transversely positioned at preselected locations along the reference axis with their reflective surfaces directed toward the sonic transducer means for permitting passage through the openings of a substantial percentage of a conically shaped beam of sonic energy directed along the reference axis by the sonic transducer means while also reflecting outer portions of the beam; and signal processor means for: repetitively measuring the value of the instantaneous amplitude of the reflected energy at the source transducer for a duration of cT, where c is an integer, the values of the instantaneous amplitude of the reflected energy being represented by x i , x i+1 , . . . , x i+n , where n+1 represents the total number of values measured and n+1=cm, where m equals the number of samples taken during each period T; determining the phase angle θ between the transmitted energy and the reflected energy by the equation: ##EQU10## where t j represents the time when the value x j was measured and ω=2π/T is the radian frequency of the transmitted energy; determining the quadrant of θ from the signs of the numerator and denominator in the equation used to determine the phase angle; determining the number of integral periods T which elapsed from the first peak of the transmitted energy to the first peak of the reflected energy, the number of integral periods being designated as β; and calculating the propagation time of the output signals by the equation: t.sub.p =T(β+θ/2π).
Claim 24
Independent Claim 313 words
An apparatus for sonic measurement of physical conditions within a liquid, comprising: sonic transducer means for transmitting energy in a conically shaped beam centered about a reference axis and for producing output signals as a function of reflected energy returned to the sonic transducer means; a plurality of reflectors each having an opening centered about the reference axis and bounded by a peripheral reflective surface, the reflectors being transversely positioned at preselected locations along the reference axis with their reflective surfaces directed toward the sonic transducer means for permitting passage through the openings of a substantial percentage of a conically shaped beam of sonic energy directed along the reference axis by the sonic transducer means while also reflecting outer portions of the beam; and signal processor means for: repetitively measuring the value of the instantaneous amplitude of the reflected energy at the source transducer for a duration of cT, where c is an integer, the values of the instantaneous amplitude of the reflected energy being represented by x i , x i+1 , . . . , x i+n , where n+1 represents the total number of values measured and n+1=cm, where m equals the number of samples taken during each period T; determining the phase angle θ between the transmitted energy and the reflected energy by the equation: ##EQU10## where t j represents the time when the value x j was measured and ω=2π/T is the radian frequency of the transmitted energy; determining the quadrant of θ from the signs of the numerator and denominator in the equation used to determine the phase angle; determining the number of integral periods T which elapsed from the first peak of the transmitted energy to the first peak of the reflected energy, the number of integral periods being designated as β; and calculating the propagation time of the output signals by the equation: t.sub.p =T(β+θ/2π).
Claim 25
Independent Claim 160 words
An apparatus for sonic measurement of physical conditions within a liquid, comprising: an elongated upright support; sonic transducer means mounted to the lower end of the support for transmitting energy upwardly in a conically shaped beam centered about a reference axis and for producing output signals as a function of reflected energy returned to the transducer means as an echo; and a plurality of reflector rings mounted to the support at preselected spaced locations along the reference axis relative to the sonic transducer means, the reflector rings each including a reflective surface surrounding an opening formed through it and centered about the reference axis, the reflector rings being positioned along the support with their reflective surfaces facing downwardly toward the sonic transducer means for permitting passage through the openings of a substantial percentage of a conically shaped beam of sonic energy directed along the reference axis by the sonic transducer means while also downwardly reflecting outer portions of the beam.
Claim 26
Independent Claim 160 words
An apparatus for sonic measurement of physical conditions within a liquid, comprising: an elongated upright support; sonic transducer means mounted to the lower end of the support for transmitting energy upwardly in a conically shaped beam centered about a reference axis and for producing output signals as a function of reflected energy returned to the transducer means as an echo; and a plurality of reflector rings mounted to the support at preselected spaced locations along the reference axis relative to the sonic transducer means, the reflector rings each including a reflective surface surrounding an opening formed through it and centered about the reference axis, the reflector rings being positioned along the support with their reflective surfaces facing downwardly toward the sonic transducer means for permitting passage through the openings of a substantial percentage of a conically shaped beam of sonic energy directed along the reference axis by the sonic transducer means while also downwardly reflecting outer portions of the beam.
Claim 27
Independent Claim 162 words
An apparatus for sonic measurement of physical conditions within a liquid, comprising: an elongated support; sonic transducer means mounted to the support for transmitting energy in a conically shaped beam centered about a reference axis and for producing output signals as a function of reflected energy returned to the transducer means as an echo; and a plurality of reflector rings mounted to the support at preselected spaced locations along the reference axis relative to the sonic transducer means, the reflector rings each including a reflective surface surrounding an opening formed through it and centered about the reference axis, the reflector rings being positioned along the support with their reflective surfaces facing toward the sonic transducer means for permitting passage through the openings of a substantial percentage of a conically shaped beam of sonic energy directed along the reference axis by the sonic transducer means while also reflecting outer portions of the beam, the reflective surfaces of the reflector rings being transversely rounded.
Claim 28
Independent Claim 162 words
An apparatus for sonic measurement of physical conditions within a liquid, comprising: an elongated support; sonic transducer means mounted to the support for transmitting energy in a conically shaped beam centered about a reference axis and for producing output signals as a function of reflected energy returned to the transducer means as an echo; and a plurality of reflector rings mounted to the support at preselected spaced locations along the reference axis relative to the sonic transducer means, the reflector rings each including a reflective surface surrounding an opening formed through it and centered about the reference axis, the reflector rings being positioned along the support with their reflective surfaces facing toward the sonic transducer means for permitting passage through the openings of a substantial percentage of a conically shaped beam of sonic energy directed along the reference axis by the sonic transducer means while also reflecting outer portions of the beam, the reflective surfaces of the reflector rings being transversely rounded.
Claim 29
Independent Claim 190 words
An apparatus for sonic measurement of physical conditions within a liquid, comprising: an elongated support; sonic transducer means mounted to the support for transmitting energy in a conically shaped beam centered about a reference axis and for producing output signals as a function of reflected energy returned to the transducer means as an echo; and a plurality of reflector rings mounted to the support at preselected spaced locations along the reference axis relative to the sonic transducer means, the reflector rings each including a reflective surface surrounding an opening formed through it and centered about the reference axis, the reflector rings being positioned along the support with their reflective surfaces facing toward the sonic transducer means for permitting passage through the openings of a substantial percentage of a conically shaped beam of sonic energy directed along the reference axis by the sonic transducer means while also reflecting outer portions of the beam; the support comprising a plurality of elongated posts fixed to the reflector rings; the reflector rings being arranged along the reference axis in equally spaced parallel positions and with each reflector ring being perpendicular to the reference axis.
Claim 30
Independent Claim 190 words
An apparatus for sonic measurement of physical conditions within a liquid, comprising: an elongated support; sonic transducer means mounted to the support for transmitting energy in a conically shaped beam centered about a reference axis and for producing output signals as a function of reflected energy returned to the transducer means as an echo; and a plurality of reflector rings mounted to the support at preselected spaced locations along the reference axis relative to the sonic transducer means, the reflector rings each including a reflective surface surrounding an opening formed through it and centered about the reference axis, the reflector rings being positioned along the support with their reflective surfaces facing toward the sonic transducer means for permitting passage through the openings of a substantial percentage of a conically shaped beam of sonic energy directed along the reference axis by the sonic transducer means while also reflecting outer portions of the beam; the support comprising a plurality of elongated posts fixed to the reflector rings; the reflector rings being arranged along the reference axis in equally spaced parallel positions and with each reflector ring being perpendicular to the reference axis.
Claim 31
Dependent Claim 30 words
The apparatus of claim 13, further comprising: signal processor means operatively connected to the sonic transducer means for converting the output signals to data indicative of a measured physical condition.
Claim 32
Independent Claim 248 words
An apparatus for sonic measurement of physical conditions within a liquid, comprising: an elongated support; sonic transducer means mounted to the support for transmitting energy in a conically shaped beam centered about a reference axis and for producing output signals as a function of reflected energy returned to the transducer means as an echo; a plurality of reflector rings mounted to the support at preselected spaced locations along the reference axis relative to the sonic transducer means, the reflector rings each including a reflective surface surrounding an opening formed through it and centered about the reference axis, the reflector rings being positioned along the support with their reflective surfaces facing toward the sonic transducer means for permitting passage through the openings of a substantial percentage of a conically shaped beam of sonic energy directed along the reference axis by the sonic transducer means while also reflecting outer portions of the beam; and signal processor means for: repetitively measuring the value of the instantaneous amplitude of the reflected energy at the sonic transducer, the values of the instantaneous amplitude of the reflected energy being represented by x i , x i+1 , . . . , x i+n , where n+1 represents the total number of values measured; and determining the phase angle θ between the transmitted energy and the reflected energy by the equation: ##EQU11## where t j represents the time when the value x j was measured and ω=2π/T is the radian frequency of the transmitted energy.
Claim 33
Independent Claim 248 words
An apparatus for sonic measurement of physical conditions within a liquid, comprising: an elongated support; sonic transducer means mounted to the support for transmitting energy in a conically shaped beam centered about a reference axis and for producing output signals as a function of reflected energy returned to the transducer means as an echo; a plurality of reflector rings mounted to the support at preselected spaced locations along the reference axis relative to the sonic transducer means, the reflector rings each including a reflective surface surrounding an opening formed through it and centered about the reference axis, the reflector rings being positioned along the support with their reflective surfaces facing toward the sonic transducer means for permitting passage through the openings of a substantial percentage of a conically shaped beam of sonic energy directed along the reference axis by the sonic transducer means while also reflecting outer portions of the beam; and signal processor means for: repetitively measuring the value of the instantaneous amplitude of the reflected energy at the sonic transducer, the values of the instantaneous amplitude of the reflected energy being represented by x i , x i+1 , . . . , x i+n , where n+1 represents the total number of values measured; and determining the phase angle θ between the transmitted energy and the reflected energy by the equation: ##EQU11## where t j represents the time when the value x j was measured and ω=2π/T is the radian frequency of the transmitted energy.
Claim 34
Dependent Claim 267 words
An appartus for sonic measurement of physical conditions within a liquid, comprising: an elongated support; sonic transducer means mounted to the support for transmitting energy in a conically shaped beam centered about a reference axis and for producing output signals as a function of reflected energy returned to the transducer means as an echo; a plurality of reflector rings mounted to the support at preselected spaced locations along the reference axis relative to the sonic transducer means, the reflector rings each including a reflective surface surrounding an opening formed through it and centered about the reference axis, the reflector rings being positioned along the support with their reflective surfaces facing toward the sonic transducer means for permitting passage through the openings of a substantial percentage of a conically shaped beam of sonic energy directed along the reference axis by the sonic transducer means while also reflecting outer portions of the beam; and signal processor means for: repetitively measuring the value of the instantaneous amplitude of the reflected burst at the source transducer, the values of the reflected burst's instantaneous amplitude being represented by x i , x i+1 , . . ., x i+n , where n+1 represents the total number of values measured; determining the phase angle θ between the transmitted burst and the reflected burst by the equation: ##EQU12## where t j represents the time when the value x j was measured and ω=2π/T is the radian frequency of the transmitted burst; and determining the quadrant of θ from the signs of the numerator and denominator in the equation used to determine the phase angle.
Claim 35
Dependent Claim 267 words
An appartus for sonic measurement of physical conditions within a liquid, comprising: an elongated support; sonic transducer means mounted to the support for transmitting energy in a conically shaped beam centered about a reference axis and for producing output signals as a function of reflected energy returned to the transducer means as an echo; a plurality of reflector rings mounted to the support at preselected spaced locations along the reference axis relative to the sonic transducer means, the reflector rings each including a reflective surface surrounding an opening formed through it and centered about the reference axis, the reflector rings being positioned along the support with their reflective surfaces facing toward the sonic transducer means for permitting passage through the openings of a substantial percentage of a conically shaped beam of sonic energy directed along the reference axis by the sonic transducer means while also reflecting outer portions of the beam; and signal processor means for: repetitively measuring the value of the instantaneous amplitude of the reflected burst at the source transducer, the values of the reflected burst's instantaneous amplitude being represented by x i , x i+1 , . . ., x i+n , where n+1 represents the total number of values measured; determining the phase angle θ between the transmitted burst and the reflected burst by the equation: ##EQU12## where t j represents the time when the value x j was measured and ω=2π/T is the radian frequency of the transmitted burst; and determining the quadrant of θ from the signs of the numerator and denominator in the equation used to determine the phase angle.
Claim 36
Independent Claim 314 words
An apparatus for sonic measurement of physical conditions within a liquid, comprising: an elongated support; sonic transducer means mounted to the support for transmitting energy in a conically shaped beam centered about a reference axis and for producing output signals as a function of reflected energy returned to the transducer means as an echo; a plurality of reflector rings mounted to the support at preselected spaced locations along the reference axis relative to the sonic transducer means, the reflector rings each including a reflective surface surrounding an opening formed through it and centered about the reference axis, the reflector rings being positioned along the support with their reflective surfaces facing toward the sonic transducer means for permitting passage through the openings of a substantial percentage of a conically shaped beam of sonic energy directed along the reference axis by the sonic transducer means while also reflecting outer portions of the beam; and signal processor means for: repetitively measuring the value of the instantaneous amplitude of the reflected burst at the source transducer, the values of the reflected burst's instantaneous amplitude being represented by x i , x i+1 , . . ., x i+n , where n+1 represents the total number of values measured; determining the phase angle θ between the transmitted burst and the reflected burst by the equation: ##EQU13## where t j represents the time when the value x j was measured and ω=2π/T is the radian frequency of the transmitted burst; determining the quadrant of θ from the signs of the numerator and denominator in the equation used to determine the phase angle; determining the number of integral periods T which elapsed from the first peak of the transmitted energy to the first peak of the reflected energy, the number of integral periods being designated as β; and calculating the propagation time of the output signals by the equation: t.sub.P =T(β+θ/2π).
Claim 37
Independent Claim 314 words
An apparatus for sonic measurement of physical conditions within a liquid, comprising: an elongated support; sonic transducer means mounted to the support for transmitting energy in a conically shaped beam centered about a reference axis and for producing output signals as a function of reflected energy returned to the transducer means as an echo; a plurality of reflector rings mounted to the support at preselected spaced locations along the reference axis relative to the sonic transducer means, the reflector rings each including a reflective surface surrounding an opening formed through it and centered about the reference axis, the reflector rings being positioned along the support with their reflective surfaces facing toward the sonic transducer means for permitting passage through the openings of a substantial percentage of a conically shaped beam of sonic energy directed along the reference axis by the sonic transducer means while also reflecting outer portions of the beam; and signal processor means for: repetitively measuring the value of the instantaneous amplitude of the reflected burst at the source transducer, the values of the reflected burst's instantaneous amplitude being represented by x i , x i+1 , . . ., x i+n , where n+1 represents the total number of values measured; determining the phase angle θ between the transmitted burst and the reflected burst by the equation: ##EQU13## where t j represents the time when the value x j was measured and ω=2π/T is the radian frequency of the transmitted burst; determining the quadrant of θ from the signs of the numerator and denominator in the equation used to determine the phase angle; determining the number of integral periods T which elapsed from the first peak of the transmitted energy to the first peak of the reflected energy, the number of integral periods being designated as β; and calculating the propagation time of the output signals by the equation: t.sub.P =T(β+θ/2π).
Claim 38
Independent Claim 271 words
An apparatus for sonic measurement of physical conditions within a liquid, comprising: an elongated support; sonic transducer means mounted to the support for transmitting energy in a conically shaped beam centered about a reference axis and for producing output signals as a function of reflected energy returned to the transducer means as an echo; a plurality of reflector rings mounted to the support at preselected spaced locations along the reference axis relative to the sonic transducer means, the reflector rings each including a reflective surface surrounding an opening formed through it and centered about the reference axis, the reflector rings being positioned along the support with their reflective surfaces facing toward the sonic transducer means for permitting passage through the openings of a substantial percentage of a conically shaped beam of sonic energy directed along the reference axis by the sonic transducer means while also reflecting outer portions of the beam; and signal processor means for: repetitively measuring the value of the instantaneous amplitude of the reflected energy at the source transducer for a duration of cT, where c is an integer, the values of the instantaneous amplitude of the reflected energy being represented by x i , x i+1 , . . ., x i+n , where n+1 represents the total number of values measured and n+1=cm, where m equals the number of samples taken during each period T; and determining the phase angle θ between the transmitted energy and the reflected energy by the equation: ##EQU14## where t j represents the time when the value x j was measured and ω=2π/T is the radian frequency of the transmitted energy.
Claim 39
Independent Claim 271 words
An apparatus for sonic measurement of physical conditions within a liquid, comprising: an elongated support; sonic transducer means mounted to the support for transmitting energy in a conically shaped beam centered about a reference axis and for producing output signals as a function of reflected energy returned to the transducer means as an echo; a plurality of reflector rings mounted to the support at preselected spaced locations along the reference axis relative to the sonic transducer means, the reflector rings each including a reflective surface surrounding an opening formed through it and centered about the reference axis, the reflector rings being positioned along the support with their reflective surfaces facing toward the sonic transducer means for permitting passage through the openings of a substantial percentage of a conically shaped beam of sonic energy directed along the reference axis by the sonic transducer means while also reflecting outer portions of the beam; and signal processor means for: repetitively measuring the value of the instantaneous amplitude of the reflected energy at the source transducer for a duration of cT, where c is an integer, the values of the instantaneous amplitude of the reflected energy being represented by x i , x i+1 , . . ., x i+n , where n+1 represents the total number of values measured and n+1=cm, where m equals the number of samples taken during each period T; and determining the phase angle θ between the transmitted energy and the reflected energy by the equation: ##EQU14## where t j represents the time when the value x j was measured and ω=2π/T is the radian frequency of the transmitted energy.
Claim 40
Independent Claim 294 words
An apparatus for sonic measurement of physical conditions within a liquid, comprising: an elongated support; sonic transducer means mounted to the support for transmitting energy in a conically shaped beam centered about a reference axis and for producing output signals as a function of reflected energy returned to the transducer means as an echo; a plurality of reflector rings mounted to the support at preselected spaced locations along the reference axis relative to the sonic transducer means, the reflector rings each including a reflective surface surrounding an opening formed through it and centered about the reference axis, the reflector rings being positioned along the support with their reflective surfaces facing toward the sonic transducer means for permitting passage through the openings of a substantial percentage of a conically shaped beam of sonic energy directed along the reference axis by the sonic transducer means while also reflecting outer portions of the beam; and signal processor means for: repetitively measuring the value of the instantaneous amplitude of the reflected energy at the source transducer for a duration of cT, where c is an integer, the values of the instantaneous amplitude of the reflected every being represented by x i , x i+i+1 , . . ., x i+n , where n+1 represents the total number of values measured and n+1=cm, where m equals the number of samples taken during each period T; and determining the phase angle θ between the transmitted energy and the reflected energy by the equation: ##EQU15## where t j represents the time when the value x j was measured and ω=2π/T is the radian frequency of the transmitted energy; and determining the quadrant of θ from the signs of the numerator and denominator in the equation used to determine the phase angle.
Claim 41
Independent Claim 294 words
An apparatus for sonic measurement of physical conditions within a liquid, comprising: an elongated support; sonic transducer means mounted to the support for transmitting energy in a conically shaped beam centered about a reference axis and for producing output signals as a function of reflected energy returned to the transducer means as an echo; a plurality of reflector rings mounted to the support at preselected spaced locations along the reference axis relative to the sonic transducer means, the reflector rings each including a reflective surface surrounding an opening formed through it and centered about the reference axis, the reflector rings being positioned along the support with their reflective surfaces facing toward the sonic transducer means for permitting passage through the openings of a substantial percentage of a conically shaped beam of sonic energy directed along the reference axis by the sonic transducer means while also reflecting outer portions of the beam; and signal processor means for: repetitively measuring the value of the instantaneous amplitude of the reflected energy at the source transducer for a duration of cT, where c is an integer, the values of the instantaneous amplitude of the reflected every being represented by x i , x i+i+1 , . . ., x i+n , where n+1 represents the total number of values measured and n+1=cm, where m equals the number of samples taken during each period T; and determining the phase angle θ between the transmitted energy and the reflected energy by the equation: ##EQU15## where t j represents the time when the value x j was measured and ω=2π/T is the radian frequency of the transmitted energy; and determining the quadrant of θ from the signs of the numerator and denominator in the equation used to determine the phase angle.
Claim 42
Independent Claim 341 words
An apparatus for sonic measurement of physical conditions within a liquid, comprising: an elongated support; sonic transducer means mounted to the support for transmitting energy in a conically shaped beam centered about a reference axis and for producing output signals as a function of reflected energy returned to the transducer means as an echo; a plurality of reflector rings mounted to the support at preselected spaced locations along the reference axis relative to the sonic transducer means, the reflector rings each including a reflective surface surrounding an opening formed through it and centered about the reference axis, the reflector rings being positioned along the support with their reflective surfaces facing toward the sonic transducer means for permitting passage through the openings of a substantial percentage of a conically shaped beam of sonic energy directed along the reference axis by the sonic transducer means while also reflecting outer portions of the beam; and signal processor means for: repetitively measuring the value of the instantaneous amplitude of the reflected energy at the source transducer for a duration of cT, where c is an integer, the values of the instantaneous amplitude of the reflected energy being represented by x i , x i+1 , . . ., x i+n , where n+1 represents the total number of values measured and n+1=cm, where m equals the number of samples taken during each period T; and determining the phase angle θ between the transmitted energy and the reflected energy by the equation: ##EQU16## where t j represents the time when the value x j was measured and ω=2π/T is the radian frequency of the transmitted energy; determining the quadrant of θ from the signs of the numerator and denominator in the equation used to determine the phase angle; determining the number of integral periods T which elapsed from the first peak of the transmitted energy to the first peak of the reflected energy, the number of integral periods being designated as β; and calculating the propagation time of the output signals by the equation: t.sub.P =T(β+θ/2π).
Claim 43
Independent Claim 341 words
An apparatus for sonic measurement of physical conditions within a liquid, comprising: an elongated support; sonic transducer means mounted to the support for transmitting energy in a conically shaped beam centered about a reference axis and for producing output signals as a function of reflected energy returned to the transducer means as an echo; a plurality of reflector rings mounted to the support at preselected spaced locations along the reference axis relative to the sonic transducer means, the reflector rings each including a reflective surface surrounding an opening formed through it and centered about the reference axis, the reflector rings being positioned along the support with their reflective surfaces facing toward the sonic transducer means for permitting passage through the openings of a substantial percentage of a conically shaped beam of sonic energy directed along the reference axis by the sonic transducer means while also reflecting outer portions of the beam; and signal processor means for: repetitively measuring the value of the instantaneous amplitude of the reflected energy at the source transducer for a duration of cT, where c is an integer, the values of the instantaneous amplitude of the reflected energy being represented by x i , x i+1 , . . ., x i+n , where n+1 represents the total number of values measured and n+1=cm, where m equals the number of samples taken during each period T; and determining the phase angle θ between the transmitted energy and the reflected energy by the equation: ##EQU16## where t j represents the time when the value x j was measured and ω=2π/T is the radian frequency of the transmitted energy; determining the quadrant of θ from the signs of the numerator and denominator in the equation used to determine the phase angle; determining the number of integral periods T which elapsed from the first peak of the transmitted energy to the first peak of the reflected energy, the number of integral periods being designated as β; and calculating the propagation time of the output signals by the equation: t.sub.P =T(β+θ/2π).
Claim 44
Independent Claim 145 words
An apparatus for sonic measurement of physical conditions within a liquid, comprising: transducer means for transmitting a sinusoidal burst of known period T and phase for a predetermined duration; reflector means for reflecting the transmitted burst back toward the source transducer as a reflected burst; and signal processor means for: repetitively measuring, at a rate greater than 2/T, the value of the instantaneous amplitude of the reflected burst at the source transducer, the values of the reflected burst's instantaneous amplitude being represented by x i , x i+1 , . . ., x i+n , where n+1 represents the total number of values measured; and determining the phase angle θ between the transmitted burst and the reflected burst by the equation: ##EQU17## where t j represents the time when the value x j was measured and ω=2π/T is the radian frequency of the transmitted burst.
Claim 45
Independent Claim 145 words
An apparatus for sonic measurement of physical conditions within a liquid, comprising: transducer means for transmitting a sinusoidal burst of known period T and phase for a predetermined duration; reflector means for reflecting the transmitted burst back toward the source transducer as a reflected burst; and signal processor means for: repetitively measuring, at a rate greater than 2/T, the value of the instantaneous amplitude of the reflected burst at the source transducer, the values of the reflected burst's instantaneous amplitude being represented by x i , x i+1 , . . ., x i+n , where n+1 represents the total number of values measured; and determining the phase angle θ between the transmitted burst and the reflected burst by the equation: ##EQU17## where t j represents the time when the value x j was measured and ω=2π/T is the radian frequency of the transmitted burst.
Claim 46
Independent Claim 165 words
An apparatus for sonic measurement of physical conditions within a liquid, comprising: transducer means for transmitting a sinusoidal burst of known period T and phase for a predetermined duration; reflector means for reflecting the transmitted burst back toward the source transducer as a reflected burst; and signal processor means for: repetitively measuring the value of the instantaneous amplitude of the reflected energy at the source transducer for a duration of cT, where c is an integer, the values of the instantaneous amplitude of the reflected energy being represented by x i , x i+1 , . . ., x i+n , where n+1 represents the total number of values measured and n+1=cm, where m equals the number of samples taken during each period T; and determining the phase angle θ between the transmitted burst and the reflected burst by the equation: ##EQU18## where t j represents the time when the value x j was measured and ω=2π/T is the radian frequency of the transmitted burst.
Claim 47
Independent Claim 165 words
An apparatus for sonic measurement of physical conditions within a liquid, comprising: transducer means for transmitting a sinusoidal burst of known period T and phase for a predetermined duration; reflector means for reflecting the transmitted burst back toward the source transducer as a reflected burst; and signal processor means for: repetitively measuring the value of the instantaneous amplitude of the reflected energy at the source transducer for a duration of cT, where c is an integer, the values of the instantaneous amplitude of the reflected energy being represented by x i , x i+1 , . . ., x i+n , where n+1 represents the total number of values measured and n+1=cm, where m equals the number of samples taken during each period T; and determining the phase angle θ between the transmitted burst and the reflected burst by the equation: ##EQU18## where t j represents the time when the value x j was measured and ω=2π/T is the radian frequency of the transmitted burst.
Claim 48
Independent Claim 225 words
A method of analyzing the propagation of a sinusoidal burst from a source transducer to a reflecting surface and back to the source transducer, comprising the steps of: transmitting a sinusoidal burst of known period T and phase from a source transducer for a predetermined duration, the transmitted burst being approximated by the equation: y.sub.t =k cos(ωt), where y t is the instantaneous intensity of the transmitted burst at time t, ω=32π/T is the frequency of the transmitted burst, and k is a modulating function that is zero until the start of the burst, increases in amplitude over the next several cycles, remains constant for the duration of the burst, and then returns to zero; reflecting at least part of the transmitted burst back toward the source transducer from a reflective surface as a reflected burst; repetitively measuring the value of the instantaneous amplitude of the reflected burst at the source transducer, the values of the reflected burst's instantaneous amplitude being represented by x i , x i+1 , . . ., x i+n , where n+1 represents the total number of values measured; and determining the phase angle θ between the transmitted burst and the reflected burst by the equation: ##EQU19## where t j represents the time when the value x j was measured and ω=2π/T is the radian frequency of the transmitted burst.
Claim 49
Independent Claim 225 words
A method of analyzing the propagation of a sinusoidal burst from a source transducer to a reflecting surface and back to the source transducer, comprising the steps of: transmitting a sinusoidal burst of known period T and phase from a source transducer for a predetermined duration, the transmitted burst being approximated by the equation: y.sub.t =k cos(ωt), where y t is the instantaneous intensity of the transmitted burst at time t, ω=32π/T is the frequency of the transmitted burst, and k is a modulating function that is zero until the start of the burst, increases in amplitude over the next several cycles, remains constant for the duration of the burst, and then returns to zero; reflecting at least part of the transmitted burst back toward the source transducer from a reflective surface as a reflected burst; repetitively measuring the value of the instantaneous amplitude of the reflected burst at the source transducer, the values of the reflected burst's instantaneous amplitude being represented by x i , x i+1 , . . ., x i+n , where n+1 represents the total number of values measured; and determining the phase angle θ between the transmitted burst and the reflected burst by the equation: ##EQU19## where t j represents the time when the value x j was measured and ω=2π/T is the radian frequency of the transmitted burst.
Claim 50
Dependent Claim 33 words
The method of claim 25, further comprising the following additional step: determining the quadrant of θ from the signs of the numerator and denominator in the equation used to determine the phase angle.
Claim 51
Dependent Claim 81 words
The method of claim 25, further comprising the following additional steps: determining the quadrant of θ from the signs of the numerator and denominator in the equation used to determine the phase angle; determining the number of integral periods T which elapsed from the first peak of the transmitted energy to the first peak of the reflected energy, the number of integral periods being designated as β; and calculating the propagation time of the output signals by the equation: t.sub.P =T(β+θ/2π).
Claim 52
Dependent Claim 30 words
The method of claim 26 wherein the propagation time t p is determined for multiple consecutive reflected bursts that are reflections, from multiple reflective surfaces, of a single transmitted burst.
Claim 53
Independent Claim 251 words
A method of analyzing the propagation of a sinusoidal burst from a source transducer to a reflecting surface and back to the source transducer, comprising the steps of: transmitting a sinusoidal burst of known period T and phase from a source transducer for a predetermined duration, the transmitted burst being approximated by the equation: y.sub.t =k cos(ωt), where y t is the instantaneous intensity of the transmitted burst at time t, ω=2π/T is the frequency of the transmitted burst, and k is a modulating function that is zero until the start of the burst, increases in amplitude over the next several cycles, remains constant for the duration of the burst, and then returns to zero; reflecting at least part of the transmitted burst back toward the source transducer from a reflective surface as a reflected burst; repetitively measuring the value of the instantaneous amplitude of the reflected energy at the source transducer for a duration of cT, where c is an integer, the values of the instantaneous amplitude of the reflected energy being represented by x i , x i+1 , . . ., x i+n , where n+1 represents the total number of values measured and n+1=cm, where m equals the number of samples taken during each period T; and determining the phase angle θ between the transmitted burst and the reflected burst by the equation: ##EQU20## where t j represents the time when the value x j was measured and ω=2π/T is the radian frequency of the transmitted burst.
Claim 54
Independent Claim 251 words
A method of analyzing the propagation of a sinusoidal burst from a source transducer to a reflecting surface and back to the source transducer, comprising the steps of: transmitting a sinusoidal burst of known period T and phase from a source transducer for a predetermined duration, the transmitted burst being approximated by the equation: y.sub.t =k cos(ωt), where y t is the instantaneous intensity of the transmitted burst at time t, ω=2π/T is the frequency of the transmitted burst, and k is a modulating function that is zero until the start of the burst, increases in amplitude over the next several cycles, remains constant for the duration of the burst, and then returns to zero; reflecting at least part of the transmitted burst back toward the source transducer from a reflective surface as a reflected burst; repetitively measuring the value of the instantaneous amplitude of the reflected energy at the source transducer for a duration of cT, where c is an integer, the values of the instantaneous amplitude of the reflected energy being represented by x i , x i+1 , . . ., x i+n , where n+1 represents the total number of values measured and n+1=cm, where m equals the number of samples taken during each period T; and determining the phase angle θ between the transmitted burst and the reflected burst by the equation: ##EQU20## where t j represents the time when the value x j was measured and ω=2π/T is the radian frequency of the transmitted burst.
Claim 55
Dependent Claim 33 words
The method of claim 29, further comprising the following additional step: determining the quadrant of θ from the signs of the numerator and denominator in the equation used to determine the phase angle.
Claim 56
Dependent Claim 81 words
The method of claim 29, further comprising the following additional steps: determining the quadrant of θ from the signs of the numerator and denominator in the equation used to determine the phase angle; determining the number of integral periods T which elapsed from the first peak of the transmitted energy to the first peak of the reflected energy, the number of integral periods being designated as β; and calculating the propagation time of the output signals by the equation: t.sub.P =T(β+θ/2π).
Claim 57
Dependent Claim 30 words
The method of claim 30 wherein the propagation time t P is determined for multiple consecutive reflected bursts that are reflections, from multiple reflective surfaces, of a single transmitted burst.

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