Zhurnal Radioelektroniki - Journal of Radio Electronics. eISSN 1684-1719. 2021. No. 4
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DOI https://doi.org/10.30898/1684-1719.2021.4.9

UDC 621.3211

 

Synthesis of matched filters

 

A. N. Degtyaryov, I. L. Afonin,  A. L. Polyakov, A. S. Kozhemyakin

Sevastopol State University, Universitetskaya 33, Sevastopol 299053, Russia

 

The paper was received on March 30, 2021

 

Abstract. Methods for approximating the impulse response of a matched, physically realizable filter with the minimum required number of functional nodes are in thei focus of the paper. Methods for approximating the pulse characteristics of a matched filter are proposed, namely: approximation by causal physically realizable functions, which are the correlation functions of the pulse characteristics of low-pass filters (LPF) Butterworth; using the Fourier series to describe the complex transmission coefficient of the filter; direct use of the Fourier series to approximate the impulse response of a matched filter. As a result, the number of elements of the matched filter is significantly reduced.

Key words: approximation, pulse response, matched filter, amplitude-frequency response, autocorrelation function, complex transmission coefficient.

References

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For citation:

Degtyaryov A. N., Afonin I. L., Polyakov A.L., Kozhemyakin A.S. Synthesis of matched filters. Zhurnal Radioelektroniki [Journal of Radio Electronics]. 2021. No.4. https://doi.org/10.30898/1684-1719.2021.4.9  (In Russian)