Zhurnal Radioelektroniki - Journal of Radio Electronics. eISSN 1684-1719. 2021. No. 4
Contents

Full text in Russian (pdf)

Russian page

 

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

1. Makarov A.M., Ermakov A.S. Optimal matched filter for detecting the signal against noise with the unknown correlation functions. Izvestiya YUFU. Tekhnicheskiye nauki [Bulletin of South State University. Technical Science]. 2015. No.11(172). P.42-54. (In Russian)

2. Popov D. I. Detection of stochastic radar signals. Izvestiya VUZov. Povolzhskiy region. Tekhnicheskiye nauki [Bulletin of Universities. Volga region. Technical Science]. 2017. No.3 (43). P.26-35. https://doi.org/10.21685/2072-3059-2017-3-2 (In Russian)

3. Sannikov V.G., Alyoshintsev A.V. Mathematical modelling of the multi-frequency modem with boosted noise stability. T-Comm: Telekommunikatsii i transport [T-Comm: Telecommunications and Transportation]. 2016. Vol.10. No.7. P.52-58. (In Russian)

4. Yaremko N.N., Selyutin V.D., Zhuravleva E.G. New inversion formulas for the integral transformations of Laplace, Weierstrass and Mellin.
Izvestiya VUZov. Povolzhskiy region. Fizicheskiye I matematicheskiye nauki [Bulletin of Universities. Volga region. Physics and Mathematics]. 2018. No.1(45). P.24-35.
https://doi.org/10.21685/2072-3040-2018-1-2. (In Russian)

5. Degtyaryov A.N. Ortogonalizatsiya funktsiy i povysheniye pomekhoustoychivosti vysokoskorostnykh sistem peredachi informatsii [Orthogonalization of functions and increase in noise immunity of high-speed information transmission systems]. Moscow, Infra-M Publ. 2015. 152 p. (In Russian)

 

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)