IP Library Granted Patent US 8,009,079
Granted Patent B2
US 8,009,079 · App. 12/926,602 · Granted Aug 30, 2011

Methods for two-dimensional autofocus in high resolution radar systems

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Quick Facts
Patent No.
US 8,009,079
App. No.
12/926,602
Granted
Aug 30, 2011
Kind
B2
Abstract

Provided are two-dimensional autofocus methods in a synthetic aperture radar (SAR) system which include: (1) two-dimensional pulse pair product algorithm including shear PGA, eigenvector phase history (“EPH”), shear PGA/EPH); (2) two-dimensional optimization algorithms including parametric one-dimensional estimate/two-dimensional correction, parametric two dimensional estimate/two-dimensional correction, unconstrained two-dimensional nonparametric and constrained two-dimensional nonparametric methods; (3) a two-dimensional geometry filter algorithm; (4) a two-dimensional prominent point processing algorithm; (5) a one-dimensional phase estimate of higher order two dimensional phase errors; and, (6) a fast SHARP parametric autofocus algorithm.

Claims (21)

1. A two-dimensional prominent point processing method used in a synthetic aperture radar (SAR) system for removing a two-dimensional phase error in a complex image, the method comprising:

generating the complex image with a sensor;

identifying a good quality unfocused isolated point target within the complex image;

cropping a target and an immediate area surrounding the target;

taking a two-dimensional inverse Fast Fourier Transform (FFT) to obtain a phase history; and

taking a two-dimensional phase from the phase history of the cropped target as a measurement of the two-dimensional phase error on the image.

2. The method according to claim 1 , the method further comprising estimating separable one-dimensional azimuth and range errors with a single extracted line and a single extracted column, respectively.

3. The method according to claim 2 , wherein the two-dimensional prominent point processing method is carried out by a prominent point detector (PPD), utilizes spatially variant apodization to identify mainlobes and selects the mainlobes above an amplitude threshold with sufficient sidelobe symmetry as targets.

4. The method according to claim 3 , wherein the two-dimensional prominent point processing combines a phase measured from multiple targets using a weighted average.

5. The method according to claim 3 wherein the two-dimensional prominent point processing fits a two-dimensional Polar Geometry Model to data to obtain a constrained two-dimensional phase error.

6. A computer-readable medium having computer-executable instructions for a two-dimensional prominent point processing method used in a synthetic aperture radar (SAR) system for removing a two-dimensional phase error in a complex image, the computer-executable instructions configured to perform a method comprising:

generating the complex image with a sensor;

identifying a good quality unfocused isolated point target within the complex image;

cropping a target and an immediate area surrounding the target;

taking a two-dimensional inverse Fast Fourier Transform (FFT) to obtain a phase history; and

taking a two-dimensional phase from the phase history of the cropped target as a measurement of the two-dimensional phase error on the image.

7. The computer-readable medium according to claim 6 having the computer-executable instructions configured to perform the method further comprising:

estimating separable one-dimensional azimuth and range errors with a single extracted line and a single extracted column, respectively.

8. The computer-readable medium according to claim 7 , wherein the two-dimensional prominent point processing method is carried out by a prominent point detector (PPD), utilizes spatially variant apodization to identify mainlobes and selects the mainlobes above an amplitude threshold with sufficient sidelobe symmetry as targets.

9. The computer-readable medium according to claim 8 , wherein an algorithm combines a phase measured from multiple targets using a weighted average.

10. The computer-readable medium according to claim 8 , wherein an algorithm fits a two-dimensional Polar Geometry Model to data to obtain a constrained two-dimensional phase error.

Assignments (14)
SECURITY INTEREST Recorded May 26, 2026
From: THE STRATAGEM GROUP, LLC
To: BANK OF AMERICA, N.A., AS ADMINISTRATIVE AGENT
Reel/Frame 074760/0934 →
ASSIGNMENT OF ASSIGNOR'S INTEREST Recorded Nov 20, 2025
From: MAXAR MISSION SOLUTIONS, INC.; MAXAR INTELLIGENCE INC.,
To: THE STRATAGEM GROUP, LLC
Reel/Frame 072979/0854 →
CHANGE OF NAME Recorded Feb 26, 2023
From: RADIANT ANALYTIC SOLUTIONS INC.; RADIANT GEOSPATIAL SOLUTIONS LLC; THE HUMAN GEO GROUP LLC
To: RADIANT MISSION SOLUTIONS INC.
Reel/Frame 062804/0887 →
CHANGE OF NAME Recorded Feb 26, 2023
From: RADIANT MISSION SOLUTIONS, INC.
To: MAXAR MISSION SOLUTIONS INC.
Reel/Frame 062804/0906 →
RELEASE OF SECURITY INTEREST Recorded Jun 21, 2022
From: WILMINGTON TRUST, NATIONAL ASSOCIATION
To: DIGITALGLOBE, INC.; SPACE SYSTEMS/LORAL, LLC; RADIANT GEOSPATIAL SOLUTIONS LLC
Reel/Frame 060390/0282 →
RELEASE OF SECURITY INTEREST IN PATENT COLLATERAL AT REEL/FRAME NO. 51262/0824 Recorded Dec 31, 2020
From: WILMINGTON TRUST, NATIONAL ASSOCIATION, AS NOTES COLLATERAL AGENT
To: RADIANT GEOSPATIAL SOLUTIONS LLC
Reel/Frame 054885/0939 →
RELEASE OF SECURITY INTEREST IN PATENT AND TRADEMARK COLLATERAL AT REEL/FRAME NO. 51258/0517 Recorded Dec 31, 2020
From: ROYAL BANK OF CANADA, AS COLLATERAL AGENT
To: RADIANT GEOSPATIAL SOLUTIONS LLC
Reel/Frame 054885/0909 →
RELEASE OF SECURITY INTEREST IN PATENT COLLATERAL AT REEL/FRAME NO. 53866/0384 Recorded Dec 31, 2020
From: WILMINGTON TRUST, NATIONAL ASSOCIATION, AS NOTES COLLATERAL AGENT
To: RADIANT GEOSPATIAL SOLUTIONS LLC
Reel/Frame 054885/0917 →
PATENT SECURITY AGREEMENT Recorded Sep 23, 2020
From: RADIANT GEOSPATIAL SOLUTIONS LLC
To: WILMINGTON TRUST, NATIONAL ASSOCIATION, AS NOTES COLLATERAL AGENT
Reel/Frame 053866/0384 →
SECURITY AGREEMENT (NOTES) Recorded Dec 12, 2019
From: DIGITALGLOBE, INC.; RADIANT GEOSPATIAL SOLUTIONS LLC; SPACE SYSTEMS/LORAL, LLC (F/K/A SPACE SYSTEMS/LORAL INC.)
To: WILMINGTON TRUST, NATIONAL ASSOCIATION, - AS NOTES COLLATERAL AGENT
Reel/Frame 051262/0824 →
AMENDED AND RESTATED U.S. PATENT AND TRADEMARK SECURITY AGREEMENT Recorded Dec 11, 2019
From: RADIANT GEOSPATIAL SOLUTIONS LLC
To: ROYAL BANK OF CANADA, AS COLLATERAL AGENT
Reel/Frame 051258/0517 →
CHANGE OF NAME Recorded Nov 7, 2018
From: MDA INFORMATION SYSTEMS, LLC
To: RADIANT GEOSPATIAL SOLUTIONS LLC
Reel/Frame 047445/0854 →
ASSIGNMENT OF ASSIGNOR'S INTEREST Recorded Aug 26, 2015
From: GENERAL DYNAMICS ADVANCED INFORMATION SYSTEMS, INC.
To: MDA INFORMATION SYSTEMS LLC
Reel/Frame 036423/0830 →
ASSIGNMENT OF ASSIGNOR'S INTEREST Recorded Jul 7, 2014
From: CONNELL, SCOTT D.; GABL, EDWARD F.; RICOY, MARK A.; BATTEH, ELIZABETH T.; GOODMAN, RON S.
To: GENERAL DYNAMICS ADVANCED INFORMATION SYSTEMS, INC.
Reel/Frame 033278/0988 →