Approximation Of Eigenvector Weights For ISAR Imaging

Thomas P. Bronez

doi:10.1117/12.942024

21 January 1988 Approximation Of Eigenvector Weights For ISAR Imaging

Thomas P. Bronez

Proceedings Volume 0826, Advanced Algorithms and Architectures for Signal Processing II; (1988) https://doi.org/10.1117/12.942024
Event: 31st Annual Technical Symposium on Optical and Optoelectronic Applied Sciences and Engineering, 1987, San Diego, CA, United States

Abstract

A key task in Inverse Synthetic Aperture Radar (ISAR) imaging and many other applications is estimating the power spectrum of a two-dimensional random process from data measurements. Often the data sampling points do not correspond to a uniformly-spaced rectangular lattice. A particular method is reported herein for performing spectrum analysis from data measured on an irregular lattice. The method employs certain optimal weights, termed Generalized Prolate Spheroidal Sequences, that are determined from a generalized matrix eigenvec luor problem. Because the computational burden of the eigenvector solution can be impractical for large sampling lattices, computationally efficient sub-optimal approximations to the optimal eigenvector weights are proposed. These approximate weights result from careful modification of both the optimization criterion and the subspace over which the criterion is optimized. Near-optimal results can be obtained with a significant reduction in computation. A numerical example is presented for a particular ISAR application to verify the utility of the approximations.

Citation Download Citation

Thomas P. Bronez "Approximation Of Eigenvector Weights For ISAR Imaging", Proc. SPIE 0826, Advanced Algorithms and Architectures for Signal Processing II, (21 January 1988); https://doi.org/10.1117/12.942024

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