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

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

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.
LanguageEnglish
Title of host publicationSensor Signal Processing for Defence (SSPD 2012)
Number of pages5
DOIs
Publication statusPublished - Oct 2012

Fingerprint

Polynomial approximation
Taylor series
Processing

Keywords

  • chebyshev expansion
  • accurate and efficient
  • 2D PSP
  • bistatic point target spectrum

Cite this

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title = "Chebyshev expansion for accurate and efficient 2D PSP bistatic point target spectrum",
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.",
keywords = "chebyshev expansion, accurate and efficient, 2D PSP , bistatic point target spectrum",
author = "C. Clemente and J.J. Soraghan",
year = "2012",
month = "10",
doi = "10.1049/ic.2012.0109",
language = "English",
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Chebyshev expansion for accurate and efficient 2D PSP bistatic point target spectrum. / Clemente, C.; Soraghan, J.J.

Sensor Signal Processing for Defence (SSPD 2012) . 2012.

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

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AB - 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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