Abstract: A Radar Calibration Processor (“RCP”) for calibrating the amplitude of a stepped-chirp signal utilized by a synthetic aperture radar (“SAR”) is disclosed. The RCP includes a periodic amplitude error (“PAE”) calibrator, first non-periodic amplitude error (“NPAE”) calibrator in signal communication with the PAE calibrator, and a second NPAE calibrator in signal communication with the first NPAE calibrator.

Abstract: A Radar Calibration Processor (“RCP”) for calibrating the phase of a stepped-chirp signal utilized by a synthetic aperture radar (“SAR”) is disclosed. The RCP includes a periodic phase error (“PPE”) calibrator, first non-periodic phase error (“NPPE”) calibrator in signal communication with the PPE calibrator, and a second NPPE calibrator in signal communication with the first NPPE calibrator.

Abstract: A Radar Calibration Processor (“RCP”) for calibrating the amplitude of a stepped-chirp signal utilized by a synthetic aperture radar (“SAR”) is disclosed. The RCP includes a periodic amplitude error (“PAE”) calibrator, first non-periodic amplitude error (“NPAE”) calibrator in signal communication with the PAE calibrator, and a second NPAE calibrator in signal communication with the first NPAE calibrator.

Abstract: A Radar Calibration Processor (“RCP”) for calibrating the phase of a stepped-chirp signal utilized by a synthetic aperture radar (“SAR”) is disclosed. The RCP includes a periodic phase error (“PPE”) calibrator, first non-periodic phase error (“NPPE”) calibrator in signal communication with the PPE calibrator, and a second NPPE calibrator in signal communication with the first NPPE calibrator.

Abstract: A method, apparatus, and computer program product is present for focusing an image. A spatial model for spatial variation in phase error is identified for the image. The image is divided into a number of subpatches based on the spatial model. Phase correction is applied to each of the number of subpatches to form a number of focused subpatches. The number of focused subpatches is merged to form a focused image.

Abstract: Methods, systems, and computer-readable media are disclosed for correcting synthetic aperture radar data to correct for gain errors in fast time. According to an embodiment, input data is received from a synthetic radar system representing returned data from an individual pulse. Data entropy optimization is performed to identify a gain correction configured to adjust the input data to minimize image intensity entropy to generate focused output data. The gain correction is applied to the input data to adjust data values in the input data to generate the focused output data.

Abstract: Methods, systems, and computer-readable media are disclosed for correcting synthetic aperture radar data to correct for gain errors in fast time. According to an embodiment, input data is received from a synthetic radar system representing returned data from an individual pulse. Data entropy optimization is performed to identify a gain correction configured to adjust the input data to minimize image intensity entropy to generate focused output data. The gain correction is applied to the input data to adjust data values in the input data to generate the focused output data.

Abstract: A computer implemented method, apparatus, and computer usable program code for focusing an image. In one advantageous embodiment, a method is used to focus an image. Optimization is performed to identify an array of coefficients for a polynomial representing a phase correction in a manner that minimizes an entropy value generated by an entropy calculation for the image. The array of coefficients is applied to the polynomial to obtain a desired phase correction. A phase error in the image is corrected using the desired phase correction to focus the image.

Abstract: A method, apparatus, and computer program product is present for focusing an image. A spatial model for spatial variation in phase error is identified for the image. The image is divided into a number of subpatches based on the spatial model. Phase correction is applied to each of the number of subpatches to form a number of focused subpatches. The number of focused subpatches is merged to form a focused image.

Abstract: A computer implemented method, apparatus, and computer usable program code for focusing an image. In one advantageous embodiment, a method is used to focus an image. Optimization is performed to identify an array of coefficients for a polynomial representing a phase correction in a manner that minimizes an entropy value generated by an entropy calculation for the image. The array of coefficients is applied to the polynomial to obtain a desired phase correction. A phase error in the image is corrected using the desired phase correction to focus the image.

Abstract: A moving radar (405) generates a synthetic aperture image from an incomplete sequence of periodic pulse returns. The incomplete sequence of periodic pulse returns has one or more missing pulses. The radar converts the incomplete sequence of pulse returns into a digital stream. A computer (403) processes the digital stream by computing an along track Fourier transform (402), a range compression (408), an azimuth deskew (410) and an image restoration and auto focus (412). The image restoration and autofocus (412) utilizes a low order autofocus (501), a gap interpolation using a Burg algorithm (503), and a high order autofocus (505) for generating an interpolated sequence. The interpolated sequence contains a complete sequence of periodic pulse returns with uniform spacing for generating the synthetic aperture image. The image restoration and autofocus (412) computes a linear prediction coefficients estimate using the Burg Algorithm (606).

Abstract: A radar acquires a formed SAR image of radar scatterers in an area around a central reference point (CRP). Target(s) are within the area illuminated by the radar. The area covers terrain having a plurality of elevations. The radar is on a moving platform, where the moving platform is moving along an actual path. The actual path is displaced from an ideal SAR image acquisition path. The radar has a computer that divides the digital returns descriptive of the formed SAR image into multiple blocks, such as a first strip and an adjacent strip. The first strip is conveniently chosen, likely to generally align with a part of the area, at a first elevation. An adjacent strip covers a second part of the area at a second elevation. The first strip is overlapping the adjacent strip over an overlap portion. The first and second elevation are extracted from a terrain elevation database (DTED).

Abstract: A moving radar generates a search mode synthetic aperture image of a patch from a sequence of periodic pulse returns having one or more missing pulses. An azimuth and range interpolation generates an interpolated sequence having samples oriented in range and azimuth frequency with uniform spacing. Range compression is performed using an IFFT. Azimuth deskew, an autofocus and pulse restore generates a focused and restored sequence. Azimuth reskew, and gain phase equalization generates an equalized sequence. A first linear phase is summed to the equalized sequence for applying a fractional sample shift in range frequency. A range FFT and Along Track IFFT is further applied to obtain a domain changed sequence. A second linear phase is summed to the domain changed sequence. A CT FFT of the result generates an image of the patch. The azimuth interpolation and range interpolation also include a Stolt interpolation after a matched filter function.

Abstract: A moving radar generates a search mode synthetic aperture image of a patch from periodic pulse returns reflected from the patch. The patch is imaged from radar returns derived from two or more overlapping arrays. A strong scatterer is located within each array, then the data from each array is motion compensated with respect to the motion of the radar and the strong scatterer. The motion compensated results for each array are autofocused to derive a phase error for each array. Using the phase error for each array, a connected phase error estimate is computed, added to the phase error of each array to minimize the differences between phases in the overlap between arrays insuring that there is no or minimal phase discontinuity in the overlap region between arrays. Avoiding phase discontinuity yields a clear SAR image of the combination of arrays rendering the patch.

Abstract: A radar on a moving platform generates an initial synthetic aperture (SAR) image of a scene from a sequence of periodic pulse returns approximately motion compensated. The SAR image is formed from pixel intensities zn(x,y) within a x,y extent of the initial synthetic aperture image. Targets are selected from the initial synthetic aperture image using a sliding window, computing a first entropy for the selected targets, and sorting the targets using the first entropy to obtain a target list having target elements, then concatenating the target elements to form a data matrix compatible in the azimuth dimension with a Fast Fourier Transform. A phase correction for autofocus is iteratively computed and applied to the initial synthetic aperture image using an inner loop, a mid loop and an outer loop. The phase correction is expressed using an orthogonal polynomial having a plurality n consecutive terms an, a2 denoting a quadratic term, and aN denoting a last order term.

Abstract: SAR images are improved by a method for acquiring a synthetic aperture image from a sequence of periodic pulse returns where the sequence of periodic pulse returns is interspersed with interrupts, i.e. missing pulses. The interrupts mark the start and end of one or more segments, where the segments contain the periodic pulse returns form the SAR image. The method comprises the steps of: converting said pulse returns into a digital stream; performing an azimuth deskew on said digital stream to obtain a deskewed digital stream; forming a forward-backward data matrix from the deskewed digital stream for one or more segments; forming an average segment covariance from the forward-backward data matrix; computing a model order for the average segment covariance; computing one or more linear prediction coefficients using data contained in the forward backward data matrix, and model order; using the linear prediction coefficients to compute missing pulse returns belonging within the interrupts.

Abstract: A method for acquiring synthetic aperture images of stationary targets converts a plurality of radar signals stored as digital values and motion compensated to a first order into a well focused image. The digital values are Fourier transformed, match filtered and interpolated using a Stolt interpolator, then skewed to reorient distortions arising from imperfect motion compensation, generating an image data, descriptive of the stationary targets in the range and azimuth direction. The image data is divided into a plurality of overlapping sub-patches in, preferably, the cross track (azimuth) direction. Each sub-patch containing a portion of the image data and overlapping data. The overlapping data is part of the image data and common between two or more of the overlapping sub-patches. Each of the overlapping sub-patches is individually focused using autofocus means to obtain focused sub-patches having a phase.

Abstract: A radar system has improved range resolution from linear frequency modulated (LFM) first sub-pulse and second sub-pulse, both having linear frequency modulation about different center frequencies. The first transmitted sub-pulse and the second transmitted sub-pulse have chirp slope &ggr;. Sample shifting and phase adjusting is performed for the first radar returns with respect to second radar returns to form a line of frequency modulated chirp slope &ggr; with respect to time, the line connecting the center frequencies of the center frequencies. The first sub-pulse and second-sub pulse can have equal time duration, where the first and second center frequency are equidistant from a reference frequency. The returns are reflected by a target located at a location near a reference point s.

Abstract: A system and method for efficient phase error correction in range migration algorithm (RMA) for synthetic aperture radar (SAR) systems implemented by making proper shifts for each position dependent phase history so that phase correction can readily be performed using the aligned phase history data during batch processing. In its simplest form, the invention (44) is comprised of two main parts. First (60), alignment of the phase error profile is achieved by proper phase adjustment in the spatial (or image) domain using a quadratic phase function. Second (62), the common phase error can be corrected using autofocus algorithms. Two alternative embodiments of the invention are described. The first embodiment (44a) adds padded zeros to the range compressed data in order to avoid the wrap around effect introduced by the FFT (Fast Fourier Transform). This embodiment requires a third step (64): the target dependent signal support needs to be shifted back to the initial position after phase correction.

Abstract: A system and method (44) for focusing an image oriented in an arbitrary direction when the collected synthetic aperture radar (SAR) data is processed using range migration algorithm (RMA). In accordance with the teachings of the present invention, first (60) the data is skewed so that the direction of smearing in the image is aligned with one of the spatial frequency axes of the image. In the illustrative embodiment, the smearing is aligned in the vertical direction. This is done through a phase adjustment that was derived from the requirements for proper shift in the spatial frequency domain. Next (62), the signal support areas from all targets are aligned by proper phase adjustment in the spatial (or image) domain. Finally (64), the common phase error can be corrected using autofocus algorithms.