An Efficient Polyphase Filter-Based Resampling Method for Unifying the PRFs in SAR Data

Variable higher pulse repetition frequencies (PRFs) are increasingly being used to meet the stricter requirements and complexities of current airborne and spaceborne synthetic aperture radar (SAR) systems associated with higher resolution and wider area products. POLYPHASE, the proposed resampling scheme, downsamples and unifies variable PRFs within a single look complex SAR acquisition and across a repeat pass sequence of acquisitions down to an effective lower PRF. A sparsity condition of the received SAR data ensures that the uniformly resampled data approximate the spectral properties of a decimated densely sampled version of the received SAR data. While experiments conducted with both synthetically generated and real airborne SAR data show that POLYPHASE retains comparable performance with the state-of-the-art best linear unbiased interpolation scheme in image quality, a polyphase filter-based implementation of POLYPHASE offers significant computational savings for arbitrary (not necessarily periodic) input PRF variations, thus allowing fully on-board, in-place, and real-time implementation.

[1]  J. Marchand,et al.  SAR Image Quality Assessment , 1993 .

[2]  M. Skolnik,et al.  Introduction to Radar Systems , 2021, Advances in Adaptive Radar Detection and Range Estimation.

[3]  Barbara Kaltenbacher,et al.  Iterative Solution Methods , 2015, Handbook of Mathematical Methods in Imaging.

[4]  Yi Li,et al.  Study on spectrum reconstruction algorithm for high resolution and wide swath space-borne SAR , 2012, 2012 International Symposium on Instrumentation & Measurement, Sensor Network and Automation (IMSNA).

[5]  Mandy Eberhart,et al.  Spotlight Synthetic Aperture Radar Signal Processing Algorithms , 2016 .

[6]  L. Rabiner The design of finite impulse response digital filters using linear programming techniques , 1972 .

[7]  Stephen A. Dyer,et al.  Digital signal processing , 2018, 8th International Multitopic Conference, 2004. Proceedings of INMIC 2004..

[8]  Carl-Fredrik Westin,et al.  Normalized and differential convolution , 1993, Proceedings of IEEE Conference on Computer Vision and Pattern Recognition.

[9]  Gerhard Krieger,et al.  Ultra-Wide Swath SAR Imaging with Continuous PRF Variation , 2010 .

[10]  Mehrdad Soumekh,et al.  Synthetic Aperture Radar Signal Processing with MATLAB Algorithms , 1999 .

[11]  Jack Walker,et al.  Range-Doppler Imaging of Rotating Objects , 1980, IEEE Transactions on Aerospace and Electronic Systems.

[12]  Charles V. Jakowatz,et al.  Spotlight-Mode Synthetic Aperture Radar: A Signal Processing Approach , 1996 .

[13]  Lei Guo,et al.  Modification of Multichannel Reconstruction Algorithm on the SAR With Linear Variation of PRI , 2014, IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing.

[14]  M. Soumekh Fourier Array Imaging , 1994 .

[15]  Gabor C. Temes,et al.  Interpolation and Decimation of Digital SignalsA Tutorial Review , 1992 .

[16]  Gerhard Krieger,et al.  Staggered SAR: High-Resolution Wide-Swath Imaging by Continuous PRI Variation , 2014, IEEE Transactions on Geoscience and Remote Sensing.

[17]  Hans Knutsson,et al.  Continuous normalized convolution , 2002, Proceedings. IEEE International Conference on Multimedia and Expo.

[18]  Mehrdad Soumekh,et al.  Moving target detection in foliage using along track monopulse synthetic aperture radar imaging , 1997, IEEE Trans. Image Process..

[19]  Gerhard Krieger,et al.  SAR signal reconstruction from non-uniform displaced phase centre sampling in the presence of perturbations , 2005, Proceedings. 2005 IEEE International Geoscience and Remote Sensing Symposium, 2005. IGARSS '05..

[20]  Keh-Shew Lu,et al.  DIGITAL FILTER DESIGN , 1973 .

[21]  S. Pizer,et al.  The Image Processing Handbook , 1994 .

[22]  Sanjit K. Mitra,et al.  Design of computationally efficient interpolated fir filters , 1988 .

[23]  L. Rabiner,et al.  A computer program for designing optimum FIR linear phase digital filters , 1973 .

[24]  Lawrence R. Rabiner,et al.  Recursive and nonrecursive realizations of digital filters designed by frequency sampling techniques , 1971 .

[25]  Liu Yadong,et al.  A novel ultra-wide swath SAR based on variable PRF and Digital Beamforming , 2013 .

[26]  Computationally efficient resampling of nonuniform oversampled SAR data , 2010, 2010 IEEE Radar Conference.

[27]  K. Eldhuset,et al.  Performance Of Cesar ERS-1 SAR Processor , 1991, [Proceedings] IGARSS'91 Remote Sensing: Global Monitoring for Earth Management.

[28]  IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING, VOL. 34. NO. 4, JULY 1996 Universal Multifractal Scaling of Synthetic , 1996 .

[29]  I. Hajnsek,et al.  A tutorial on synthetic aperture radar , 2013, IEEE Geoscience and Remote Sensing Magazine.

[30]  S. Barbarossa Detection and imaging of moving objects with synthetic aperture radar , 1992 .

[31]  Unto K. Laine,et al.  Splitting the unit delay [FIR/all pass filters design] , 1996, IEEE Signal Process. Mag..

[32]  Carl-Fredrik Westin,et al.  On the equivalence of normalized convolution and normalized differential convolution , 1994, Proceedings of ICASSP '94. IEEE International Conference on Acoustics, Speech and Signal Processing.

[33]  J. Bunch,et al.  Direct Methods for Solving Symmetric Indefinite Systems of Linear Equations , 1971 .

[34]  J. Capon High-resolution frequency-wavenumber spectrum analysis , 1969 .

[35]  Gerhard Krieger,et al.  Multichannel Azimuth Processing in ScanSAR and TOPS Mode Operation , 2010, IEEE Transactions on Geoscience and Remote Sensing.

[36]  Steven G. Johnson,et al.  A Modified Split-Radix FFT With Fewer Arithmetic Operations , 2007, IEEE Transactions on Signal Processing.

[37]  Gerhard Krieger,et al.  On-board Doppler filtering for data volume reduction in spaceborne SAR systems , 2014, 2014 15th International Radar Symposium (IRS).

[38]  M. Eineder,et al.  The Development of A Scientific Permanent Scatterer System , 2003 .

[39]  J. McClellan,et al.  Chebyshev Approximation for Nonrecursive Digital Filters with Linear Phase , 1972 .

[40]  J.E. Mazo,et al.  Digital communications , 1985, Proceedings of the IEEE.

[41]  D. Wehner High Resolution Radar , 1987 .

[42]  Gerhard Krieger,et al.  SAR signal reconstruction from non-uniform displaced phase centre sampling , 2004, IGARSS 2004. 2004 IEEE International Geoscience and Remote Sensing Symposium.

[43]  Sergio Barbarossa,et al.  Detection and imaging of moving objects with synthetic aperture radar. Part 2: Joint time-frequency analysis by Wigner-Ville distribution , 1992 .

[44]  Michael Eineder,et al.  Spaceborne Spotlight SAR Interferometry With TerraSAR-X , 2009, IEEE Transactions on Geoscience and Remote Sensing.

[45]  R. Lyons Interpolated narrowband lowpass FIR filters , 2003 .

[46]  L.R. Rabiner,et al.  Interpolation and decimation of digital signals—A tutorial review , 1981, Proceedings of the IEEE.

[47]  Gerhard Krieger,et al.  Data volume reduction in high-resolution wide-swath SAR systems , 2015, 2015 IEEE 5th Asia-Pacific Conference on Synthetic Aperture Radar (APSAR).