Abstract
The design of filters for detection and estimation in radar and communications systems is considered, with inequality constraints on the maximum output sidelobe levels. A constrained optimization problem in Hilbert space is formulated, incorporating the sidelobe constraints via a partial ordering of continuous functions. Generalized versions (in Hilbert space) of the Kuhn-Tucker and duality theorems allow the reduction of this problem to an unconstrained one in the dual space of regular Borel measures.
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Communicated by Y. C. Ho
This research was supported by the National Science Foundation under Grant No. GK-2645, by the National Aeronautics and Space Administration under Grant No. NGL-22-009(124), and by the Australian Research Grants Committee. The authors wish to express their gratitude to Dr. Robert McAulay and Professor Ian Rhodes for various comments and suggestions.
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Fortmann, T.E., Athans, M. Optimal filter design subject to output sidelobe constraints: Theoretical considerations. J Optim Theory Appl 14, 179–197 (1974). https://doi.org/10.1007/BF00932939
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DOI: https://doi.org/10.1007/BF00932939