Abstract
In this paper we present an approach for improving the output signal-to-noise power ratio of a discrete-time matched filter by employing a continuous-time filter, even though the continuous-time signal input is imperfectly known. It is shown that is it possible to design a continuous-time filter which is robust to inexact knowledge of the signal input; moreover, the robustness property does not severely compromise performance. In fact, it is shown that the resulting filter possesses an output signal-to-noise power ratio which upper bounds that of the discrete-time filter.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
A. H. El-Sawy and V. D. Vandelinde, Robust detection of known signals, IEEE Trans. Inform. Theory, Vol.IT-23, pp. 722–727, November 1977.
S. A. Kassam, T. L. Lim, and L. J. Cimini, Two-dimensional filters for signal processing under modeling uncertainties, IEEE Trans. Geosci. and Remote Sensing, Vol.GE-18, pp. 331–336, October 1980.
S. A. Kassam and J. B. Thomas, Asymptotically robust detection of a known signal in contaminated non-Gaussian noise, IEEE Trans. Inform. Theory, Vol.IT-22, pp. 22–26, January 1976.
V. P. Kuznetzov, Stable detection when the signal and the spectrum of normal noise are inaccurately known, Telecomm. and Radio Engineering, Vol.30–31, pp. 58–64, March 1976.
J. M. Morris, On single-sample robust detection of known signals with additive unknown-mean amplitude-bounded random interference, IEEE Trans. Inform. Theory, Vol.IT-26, pp. 199–209, March 1980.
H. V. Poor, Robust decision design using a distance criterion, IEEE Trans. Inform. Theory, Vol.IT-26, pp. 575–587, September 1980.
H. V. Poor, On binary communication through a distorting channel, Proc. 12th Annual Southeastern Symposium on System Theory, Virginia Beach, VA, May 19–20, 1980, pp. 302–306.
L. H. Zetterberg, Signal detection under noise interference in a game situation, IRE Trans. Inform. Theory, Vol.IT-8, pp. S47-S52, September 1962.
J. B. Thomas, An Introduction to Statistical Communication Theory, Chapter 5. New York: Wiley, 1969.
H. V. Poor and J. B. Thomas, Memoryless discrete-time detection of a constant signal inm-dependent noise, IEEE Trans. Inform. Theory, Vol.IT-25, pp. 54–61, January 1979.
D. R. Halverson and G. L. Wise, Discrete-time detection in ø-mixing noise, IEEE Trans. Inform. Theory, Vol.IT-26, pp. 189–198, March 1980.
Author information
Authors and Affiliations
Additional information
D. R. Halverson was supported by the Air Force Office of Scientific Research under Grant AFOSR-82-0033 and the Office of Naval Research under Contract N00014-81-K-0145. G. L. Wise was supported by the Air Force Office of Scientific Research under Grant AFOSR-81-0047.
Rights and permissions
About this article
Cite this article
Halverson, D.R., Wise, G.L. On an aspect of matched filters in continuous and discrete time. Circuits Systems and Signal Process 2, 269–276 (1983). https://doi.org/10.1007/BF01599070
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01599070