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Time-varying matched filters

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Abstract

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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Authors and Affiliations

  1. Department of Electrical and Computer Engineering, Georgia Institute of Technology, 30332-0250, Atlanta, Georgia

    James A. Sills & Edward W. Kamen

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  1. James A. Sills
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  2. Edward W. Kamen
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Sills, J.A., Kamen, E.W. Time-varying matched filters. Circuits Systems and Signal Process 15, 609–630 (1996). https://doi.org/10.1007/BF01188985

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  • DOI: https://doi.org/10.1007/BF01188985

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