Journal of Optimization Theory and Applications

, Volume 14, Issue 3, pp 271–290 | Cite as

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

  • T. E. Fortmann
  • R. J. Evans
Contributed Papers

Abstract

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.

Key Words

Detection theory estimation theory sidelobe constraints convex programming duality theory gradient methods 
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Copyright information

© Plenum Publishing Corporation 1974

Authors and Affiliations

  • T. E. Fortmann
    • 1
  • R. J. Evans
    • 2
  1. 1.Bolt, Beranek, and NewmanCambridge
  2. 2.Department of Electrical EngineeringUniversity of NewcastleAustralia

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