Random sampling strategies in multistatic SAR

We introduce and investigate the concept of random sampling to the problem of image reconstruction in a multistatic SAR system. We first develop an appropriate figure of merit for the invertibility of the measurement data. We then show numerical simulations of a particular random measurement process under various parameters and compare the performance of this random sampling to that of the sampling given by a deterministic elliptical transform. We expose new connections between SAR processing and random matrix theory, and develop a fundamental result relating image quality to SAR system parameters for this mode.

[1]  David L Donoho,et al.  Compressed sensing , 2006, IEEE Transactions on Information Theory.

[2]  Antonia Maria Tulino,et al.  Random Matrix Theory and Wireless Communications , 2004, Found. Trends Commun. Inf. Theory.

[3]  Andrew S. Milman The Hyperbolic Geometry of SAR Imaging , 2000 .

[4]  Nicholas J. Redding SAR image formation via inversion of Radon transforms , 2004, 2004 International Conference on Image Processing, 2004. ICIP '04..

[5]  Can Evren Yarman,et al.  Bistatic Synthetic Aperture Hitchhiker Imaging , 2007, 2007 IEEE International Conference on Acoustics, Speech and Signal Processing - ICASSP '07.

[6]  A. Tewfik,et al.  Multistatic SAR image reconstruction based on an elliptical-geometry radon transform , 2007, 2007 International Waveform Diversity and Design Conference.

[7]  Emmanuel J. Candès,et al.  Near-Optimal Signal Recovery From Random Projections: Universal Encoding Strategies? , 2004, IEEE Transactions on Information Theory.

[8]  Toshiyuki TANAKA,et al.  Spectral density of sparse sample covariance matrices , 2006, cond-mat/0612584.

[9]  Stephen J. Norton,et al.  Reconstruction of a two‐dimensional reflecting medium over a circular domain: Exact solution , 1980 .