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US5552787A Expired / Lapsed US ⏱️ 0.0 years remaining

Measurement of topography using polarimetric synthetic aperture radar (SAR)

Assignee: United States Department of the Navy
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Filing: 1995-10-10
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Granted: 1996-09-03
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Expires: 2015-10-10
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Abstract

Abstract The polarimetric technique of measuring azimuth direction terrain slopes utilizes a polarimetric synthetic aperture radar (SAR) to provide a direct measure of terrain azimuthal slopes and a derived estimate of terrain elevation. Utilizing this measure of the azimuthal slopes and estimated terrain elevations, a one-dimensional terrain slope map over a wide area may be produced without any prior knowledge of the terrain. Utilizing the method of steepest descent (or gradients) the polarimetric orientation of the peak (maximum) of the signature is determined for each image pixel. The terrain elevations are derived by integrating the slopes in the azimuthal direction and may be further refined so as to obtain absolute, rather than relative, elevation values by independently knowing at least one elevation "tie-point" along each slope profile being integrated. These orientations are proportional to terrain slope in the azimuthal direction. Processing of all the image pixels allows a complete two-dimensional topography elevation map of the terrain slopes can then be constructed from sets of elevation profiles spaced throughout the range direction.

Inventors

  • 👤 Dale L. Schuler
  • 👤 Jong-Sen Lee

Bibliographic Details

Application Number —
Jurisdiction US
Data Source google_patents
Last Synchronized 2026-11-05 10:52
CPC Classifications
G; G01; G01S; G01S7/00; G01S7/02; G01S7/024; G01S13/00; G01S13/88; G01S13/882; G01S13/89; G01S13/90; G01S13/904; G01S13/9076

Claims Analysis

Total Claims: 7
Claim 1
Independent Claim 301 words
A polarimetric processor for measuring azimuth direction terrain slopes comprised of: a radar for transmitting and receiving analog electromagnetic signals of alternately horizontally and vertically polarization; an analog-to-digital converter where the analog electromagnetic signals are converted into a digital data bit stream; a formatter for formatting the digital bit stream; means for recording and storing the digital data bit stream; a playback unit for removing the digital data from the storage means; a digital correlator for correlating the digital data bit stream; a computer for receiving the correlated digital data bit stream and computing (a) a Stokes-Mueller matrix, M, utilizing the digitized analog electromagnetic signals of alternately horizontally and vertically polarization extracted from the playback unit and correlated; (b) a polarimetric signature, σ (Ψ χ), utilizing the Stokes-Mueller matrix, M; (b) a first, a=a'=[-1,0,0], and second initial value, a'=[1,0,0], for a pixel or pixels; (c) a first gradient utilizing the method of steepest descent for the first and second initial values; (d) updating the first and second initial values utilizing the gradient; (e) normalizing the first and second initial values; (f) repeat steps (c)-(e) utilizing the normalized first and second values until the maximum has been found; (g) σ 1 and σ 2 utilizing a new first and second values; (h) a comparison of σ 1 and σ 2 , (i) a value for Ellipticity, χ=sin -1 (a 3 )/2, and Orientation, Ψ=tan -1 (a 2 /a 1 )/2; (j) a combination of individual pixel maximum locations; (k) a initialization of elevations for each row of azimuthal pixels by a known elevation point; (l) an integration of slope values in an azimuthal direction; and means for plotting the ellipticity and orientation to produce a presentation that is a direct measure of terrain azimuthal slopes and a derived estimate of terrain elevation.
Claim 2
Dependent Claim 301 words
A polarimetric processor for measuring azimuth direction terrain slopes comprised of: a radar for transmitting and receiving analog electromagnetic signals of alternately horizontally and vertically polarization; an analog-to-digital converter where the analog electromagnetic signals are converted into a digital data bit stream; a formatter for formatting the digital bit stream; means for recording and storing the digital data bit stream; a playback unit for removing the digital data from the storage means; a digital correlator for correlating the digital data bit stream; a computer for receiving the correlated digital data bit stream and computing (a) a Stokes-Mueller matrix, M, utilizing the digitized analog electromagnetic signals of alternately horizontally and vertically polarization extracted from the playback unit and correlated; (b) a polarimetric signature, σ (Ψ χ), utilizing the Stokes-Mueller matrix, M; (b) a first, a=a'=[-1,0,0], and second initial value, a'=[1,0,0], for a pixel or pixels; (c) a first gradient utilizing the method of steepest descent for the first and second initial values; (d) updating the first and second initial values utilizing the gradient; (e) normalizing the first and second initial values; (f) repeat steps (c)-(e) utilizing the normalized first and second values until the maximum has been found; (g) σ 1 and σ 2 utilizing a new first and second values; (h) a comparison of σ 1 and σ 2 , (i) a value for Ellipticity, χ=sin -1 (a 3 )/2, and Orientation, Ψ=tan -1 (a 2 /a 1 )/2; (j) a combination of individual pixel maximum locations; (k) a initialization of elevations for each row of azimuthal pixels by a known elevation point; (l) an integration of slope values in an azimuthal direction; and means for plotting the ellipticity and orientation to produce a presentation that is a direct measure of terrain azimuthal slopes and a derived estimate of terrain elevation.
Claim 3
Dependent Claim 16 words
A polarimetric processor, as in claim 1, wherein said radar is polarimetric synthetic aperture radar system.
Claim 4
Dependent Claim 16 words
A polarimetric processor, as in claim 1, wherein said radar is interferometric synthetic aperture radar system.
Claim 5
Dependent Claim 16 words
A polarimetric processor, as in claim 1, wherein said radar is polarimetric real aperture radar system.
Claim 6
Independent Claim 264 words
A method for measuring azimuth direction terrain slopes comprised of: transmitting and receiving analog electromagnetic signals of alternately horizontally and vertically polarization; converting the analog electromagnetic signals into a digital data bit stream; formatting the digital bit stream; recording and storing the digital data bit stream; removing the digital data from storage; correlating the digital data bit stream; computing (a) a Stokes-Mueller matrix, M, utilizing the digitized analog electromagnetic signals of alternately horizontally and vertically polarization extracted from the playback unit and correlated; (b) a polarimetric signature, σ (Ψ χ), utilizing the Stokes-Mueller matrix, M; (b) a first, a=a'=[-1,0,0], and second initial value, a'=[1,0,0], for a pixel or pixels; (c) a first gradient utilizing the method of steepest descent for the first and second initial values; (d) updating the first and second initial values utilizing the gradient; (e) normalizing the first and second initial values; (f) repeat steps (c)-(e) utilizing the normalized first and second values until the maximum has been found; (g) σ 1 and σ 2 utilizing a new first and second values; (h) a comparison of σ 1 and σ 2 , (i) a value for Ellipticity, χ=sin -1 (a 3 )/2, and Orientation, Ψ=tan -1 (a 2 /a 1 )/2; (j) a combination of individual pixel maximum locations; (k) a initialization of elevations for each row of azimuthal pixels by a known elevation point; (l) an integration of slope values in an azimuthal direction; and plotting the ellipticity and orientation to produce a presentation that is a direct measure of terrain azimuthal slopes and a derived estimate of terrain elevation.
Claim 7
Independent Claim 264 words
A method for measuring azimuth direction terrain slopes comprised of: transmitting and receiving analog electromagnetic signals of alternately horizontally and vertically polarization; converting the analog electromagnetic signals into a digital data bit stream; formatting the digital bit stream; recording and storing the digital data bit stream; removing the digital data from storage; correlating the digital data bit stream; computing (a) a Stokes-Mueller matrix, M, utilizing the digitized analog electromagnetic signals of alternately horizontally and vertically polarization extracted from the playback unit and correlated; (b) a polarimetric signature, σ (Ψ χ), utilizing the Stokes-Mueller matrix, M; (b) a first, a=a'=[-1,0,0], and second initial value, a'=[1,0,0], for a pixel or pixels; (c) a first gradient utilizing the method of steepest descent for the first and second initial values; (d) updating the first and second initial values utilizing the gradient; (e) normalizing the first and second initial values; (f) repeat steps (c)-(e) utilizing the normalized first and second values until the maximum has been found; (g) σ 1 and σ 2 utilizing a new first and second values; (h) a comparison of σ 1 and σ 2 , (i) a value for Ellipticity, χ=sin -1 (a 3 )/2, and Orientation, Ψ=tan -1 (a 2 /a 1 )/2; (j) a combination of individual pixel maximum locations; (k) a initialization of elevations for each row of azimuthal pixels by a known elevation point; (l) an integration of slope values in an azimuthal direction; and plotting the ellipticity and orientation to produce a presentation that is a direct measure of terrain azimuthal slopes and a derived estimate of terrain elevation.

References Cited (Backward Citations)

US4551724A Cited
US4922254A Cited
US5053778A Cited
US4975704A Cited
US5142291A Cited
US5313210A Cited

USPTO Annuity & Maintenance Windows

Annuity Stage Window Opens Payment Deadline Surcharge Period Until Estimated Fee Status
3.5 Years (Year 4) 1999-09-03 2000-03-04 2000-09-03 $2000.00 Window Closed / Lapsed
7.5 Years (Year 8) 2003-09-03 2004-03-04 2004-09-03 $3760.00 Window Closed / Lapsed
11.5 Years (Year 12) 2007-09-03 2008-03-04 2008-09-03 $7700.00 Window Closed / Lapsed

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