SAR Window Functions: A Review and Analysis of the Notched Spectrum Problem

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Description

Imaging systems such as Synthetic Aperture Radar collect band-limited data from which an image of a target scene is rendered. The band-limited nature of the data generates sidelobes, or ''spilled energy'' most evident in the neighborhood of bright point-like objects. It is generally considered desirable to minimize these sidelobes, even at the expense of some generally small increase in system bandwidth. This is accomplished by shaping the spectrum with window functions prior to inversion or transformation into an image. A window function that minimizes sidelobe energy can be constructed based on prolate spheroidal wave functions. A parametric design procedure allows ... continued below

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54 pages

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DICKEY, FRED M.; ROMERO, LOUIS & DOERRY, ARMIN W. September 1, 2002.

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  • Sandia National Laboratories
    Publisher Info: Sandia National Labs., Albuquerque, NM, and Livermore, CA (United States)
    Place of Publication: Albuquerque, New Mexico

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Description

Imaging systems such as Synthetic Aperture Radar collect band-limited data from which an image of a target scene is rendered. The band-limited nature of the data generates sidelobes, or ''spilled energy'' most evident in the neighborhood of bright point-like objects. It is generally considered desirable to minimize these sidelobes, even at the expense of some generally small increase in system bandwidth. This is accomplished by shaping the spectrum with window functions prior to inversion or transformation into an image. A window function that minimizes sidelobe energy can be constructed based on prolate spheroidal wave functions. A parametric design procedure allows doing so even with constraints on allowable increases in system bandwidth. This approach is extended to accommodate spectral notches or holes, although the guaranteed minimum sidelobe energy can be quite high in this case. Interestingly, for a fixed bandwidth, the minimum-mean-squared-error image rendering of a target scene is achieved with no windowing at all (rectangular or boxcar window).

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54 pages

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  • Other Information: PBD: 1 Sep 2002

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  • Report No.: SAND2002-2949
  • Grant Number: AC04-94AL85000
  • DOI: 10.2172/801413 | External Link
  • Office of Scientific & Technical Information Report Number: 801413
  • Archival Resource Key: ark:/67531/metadc742171

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  • September 1, 2002

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  • Oct. 19, 2015, 7:39 p.m.

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  • April 11, 2016, 8:25 p.m.

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DICKEY, FRED M.; ROMERO, LOUIS & DOERRY, ARMIN W. SAR Window Functions: A Review and Analysis of the Notched Spectrum Problem, report, September 1, 2002; Albuquerque, New Mexico. (digital.library.unt.edu/ark:/67531/metadc742171/: accessed October 15, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.