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Optimal filter design subject to output sidelobe constraints: Computational algorithm and numerical results (1974)

Fortmann, T. E. ; Evans, R. J.

Springer

Journal of optimization theory and applications 14 (1974), S. 271-290

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ISSN: 1573-2878

Keywords: Detection theory ; estimation theory ; sidelobe constraints ; convex programming ; duality theory ; gradient methods

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00932611

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