Time-varying matched filters

We examine a generalized matched-filter problem in which the interference is a nonstationary process generated by passing white noise through a general linear time-varying filter. First a matched filter is constructed by transforming the problem into an equivalent formulation involving stationary in...

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Veröffentlicht in:Circuits, systems, and signal processing systems, and signal processing, 1996-01, Vol.15 (5), p.609-630
Hauptverfasser: SILLS, J. A, KAMEN, E. W
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KAMEN, E. W
description We examine a generalized matched-filter problem in which the interference is a nonstationary process generated by passing white noise through a general linear time-varying filter. First a matched filter is constructed by transforming the problem into an equivalent formulation involving stationary interference and a time-varying propagation channel. Whereas the response of a time-invariant matched filter is sampled at its peak, the response of this time-varying matched filter is normalized before sampling to account for variations in the signal power. Next a matched filter is constructed using a spectral characterization of the nonstationary interference. This construction is then used to formulate a simplified solution for the case where the rate of variation in the nonstationary interference is sufficiently small. The different solutions are illustrated by a numerical example.
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1531-5878
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source SpringerNature Journals
subjects Applied sciences
Detection, estimation, filtering, equalization, prediction
Exact sciences and technology
Information, signal and communications theory
Signal and communications theory
Signal, noise
Telecommunications and information theory
title Time-varying matched filters
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