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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 (Ref. 1) 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. © 1974 Plenum Publishing Corporation.

Original publication

DOI

10.1007/BF00932611

Type

Journal article

Journal

Journal of Optimization Theory and Applications

Publication Date

01/09/1974

Volume

14

Pages

271 - 290