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Linear interpolation operator

Assignee: STMicroelectronics SA
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Filing: 1988-10-25
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Granted: 1990-08-21
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Expires: 2008-10-25
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Abstract

Abstract A linear interpolation operator for determining the value y of a function of x when one knows the value y1 corresponding to x1, and a value y2 corresponding to x2 (where x2>x>/=x1), comprises a first calculation circuit which determines the equation (xm+xM)/2; a second calculation which determines the equation (ym+yM)/2; a comparison circuit which compares x with (xm+xM)/2 so as to determine which one of the intervals [xm,(xm+xM)2], [(xm+xM)/2, xM] contains x and to feed back the limits of the selected interval into the first calculation circuit and the limits of the interval corresponding in y into the second calculation circuit.

Inventors

  • 👤 Jacques Meyer

Bibliographic Details

Application Number —
Jurisdiction US
Data Source google_patents
Last Synchronized 2026-11-04 09:23
CPC Classifications
G; G06; G06F; G06F17/00; G06F17/10; G06F17/17

Claims Analysis

Total Claims: 6
Claim 1
Independent Claim 295 words
A linear interpolation operator apparatus for determining a value of y, wherein y is a function of x, x is in a range between a known lower value x 1 and a known higher value x 2 , and known values y 1 and y 2 correspond respectively to x 1 and x 2 , comprising: first calculation means for determining (x m +x M )/2, wherein the initial value of a lower range limit x m =x 1 and the initial value of an upper range limit x M =x 2 ; said first calculation means comprising input registers, an adder and a divider by two; second calculation means for determining (y m +y M )/2, wherein the initial value of a lower range limit y m =y 1 and the initial value of an upper range limit y M =y 2 ; said second calculation means comprising input registers, an adder and a divider by two; input means for inputting x; comparing means for comparing x with (x m +x M )/2, said comparing means comprising a comparator including a first input terminal coupled to said divider by two of said first calculation means, a second input terminal coupled to said input means and an output; feedback means responsive to the output of said comparator for transmitting the output of said divider by two of each of said first and second calculation means to a respective input register to reset corresponding upper or lower range limits, said feedback means comprising controlling gates for transmitting said output of said divider by two as a function of the comparator output; and output means coupled to said divider by two of said second calculation means for providing the value y after a predetermined number of cycles.
Claim 2
Dependent Claim 295 words
A linear interpolation operator apparatus for determining a value of y, wherein y is a function of x, x is in a range between a known lower value x 1 and a known higher value x 2 , and known values y 1 and y 2 correspond respectively to x 1 and x 2 , comprising: first calculation means for determining (x m +x M )/2, wherein the initial value of a lower range limit x m =x 1 and the initial value of an upper range limit x M =x 2 ; said first calculation means comprising input registers, an adder and a divider by two; second calculation means for determining (y m +y M )/2, wherein the initial value of a lower range limit y m =y 1 and the initial value of an upper range limit y M =y 2 ; said second calculation means comprising input registers, an adder and a divider by two; input means for inputting x; comparing means for comparing x with (x m +x M )/2, said comparing means comprising a comparator including a first input terminal coupled to said divider by two of said first calculation means, a second input terminal coupled to said input means and an output; feedback means responsive to the output of said comparator for transmitting the output of said divider by two of each of said first and second calculation means to a respective input register to reset corresponding upper or lower range limits, said feedback means comprising controlling gates for transmitting said output of said divider by two as a function of the comparator output; and output means coupled to said divider by two of said second calculation means for providing the value y after a predetermined number of cycles.
Claim 3
Dependent Claim 17 words
A linear interpolation operator apparatus according to claim 1, wherein the same calculation means are repetitively cycled.
Claim 4
Dependent Claim 33 words
A linear interpolation operator apparatus according to claim 1, wherein said first and second calculation means, respectively, are pipe-line connected, the output of one calculation means being transmitted to the next calculation means.
Claim 5
Dependent Claim 40 words
A linear interpolation operator apparatus according to claims 1 to barycentric calculations, wherein the value y=(aA+bB)/(A+B) is to be calculated, wherein the values of the parameters are chosen as follows: x.sub.1 =0; x.sub.2 =a+b; y.sub.1 =A; y.sub.2 =B and x=b
Claim 6
Dependent Claim 53 words
A linear interpolation operator apparatus according to any of claims 1, 2 and 3 to the calculation of the product of two numbers A and B divided by a third number C (y=A*B/C), wherein the values of the parameters are chosen as follows: x.sub.1 =0; x.sub.2 =C; y.sub.1 =0; y.sub.2 =B and x=A.

References Cited (Backward Citations)

US30132A Cited
US3789203A Cited
US3943343A Cited
USRE30132E Cited
US4001565A Cited

USPTO Annuity & Maintenance Windows

Annuity Stage Window Opens Payment Deadline Surcharge Period Until Estimated Fee Status
3.5 Years (Year 4) 1993-08-20 1994-02-19 1994-08-21 $2000.00 Window Closed / Lapsed
7.5 Years (Year 8) 1997-08-20 1998-02-19 1998-08-21 $3760.00 Window Closed / Lapsed
11.5 Years (Year 12) 2001-08-20 2002-02-19 2002-08-21 $7700.00 Window Closed / Lapsed

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