Optimal filter design subject to output sidelobe constraints: Computational algorithm and numerical results

An algorithm is presented for the design of optimal detection filters in radar and communications systems, subject to inequality constraints on the maximum output sidelobe levels. This problem was reduced in an earlier paper to an unconstrained one in the dual space of regular Borel measures, with a...

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Bibliographic Details
Published inJournal of optimization theory and applications Vol. 14; no. 3; pp. 271 - 290
Main Authors Fortmann, T. E., Evans, R. J.
Format Journal Article
LanguageEnglish
Published 01.09.1974
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ISSN0022-3239
1573-2878
DOI10.1007/BF00932611

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Summary:An algorithm is presented for the design of optimal detection filters in radar and communications systems, subject to inequality constraints on the maximum output sidelobe levels. This problem was reduced in an earlier paper to an unconstrained one in the dual space of regular Borel measures, with a nondifferentiable cost functional. Here, the dual problem is solved via steepest descent, using the directional Gateaux differential. The algorithm is shown to be convergent, and numerical results are presented.
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ISSN:0022-3239
1573-2878
DOI:10.1007/BF00932611