Chebyshev expansion for accurate and efficient 2D PSP bistatic point target spectrum

Clemente, C. and Soraghan, J.J.; (2012) Chebyshev expansion for accurate and efficient 2D PSP bistatic point target spectrum. In: Sensor Signal Processing for Defence (SSPD 2012). IET. ISBN 978-1-84919-712-0 (https://doi.org/10.1049/ic.2012.0109)

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Abstract

The effectiveness of frequency domain processing algorithms in bistatic SAR depends on the accuracy of approximations used for the derivation of the bistatic point target spectrum. This paper presents a modified bistatic point target spectrum based on the 2 dimensional principle of stationary phase with the accuracy improved by the use of a Chebyshev polynomial approximation. The performance of the new method is compared to the conventional Taylor series approximation approach in the approximation of the range-azimuth frequencies coupling variable. The new approach is shown to provide a more accurate approximation reducing the phase error. The accuracy improvement is shown to yield a more accurate spectrum that can be exploited in bistatic SAR focusing algorithms, improving their accuracy and efficiency.

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