Zhurnal Radioelektroniki - Journal of Radio Electronics. eISSN 1684-1719. 2023. №8
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DOI: https://doi.org/10.30898/1684-1719.2023.8.8

 

METHOD FOR SYNTHESIZING A MATCHED FILTER

 

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

 

Sevastopol State University
299053, Russia, Sevastopol, Universitetskaya St., 33

 

The paper was received April 25, 2023.

 

Abstract. The paper studies the method of approximating the complex transfer coefficient of a matched, physically realizable, stable filter having the minimum required number of functional units. We propose a method of approximation of the complex transfer coefficient of a matched filter, namely: approximation by the complex coefficient of the device obtained by cascade connection of a linear time-invariant system and an allpass circuit. The linear time-invariant system has an amplitude-frequency response equal to the modulus of the spectral density of the signal with which the filter is matched. The complex transfer coefficient of the all-pass circuit is defined with taking into account the required phase-frequency response of the matched filter. As a result, the number of matched filter elements is significantly reduced.

Key words: matched filter, complex gain, allpass circuit, linear time invariant system, impulse response, group lag time.

Corresponding author: Alexander Leonidovich Polyakov, AL_Polykov@inbox.ru

References

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4. Degtyarev A.N., Afonin I.L., Polyakov A.L., Kozhemyakin A.S. Synthesis of matched filters. Journal of radioelectronics [electronic journal]. 2021. №4. https://doi.org/10.30898/1684-1719.2021.4.9 (In Russian)

For citation:

Degtyaryov A.N., Afonin I.L., Polyakov A.L. Method for synthesizing a matched filter. Zhurnal radioelektroniki [Journal of Radio Electronics] [online]. 2023. №8. https://doi.org/10.30898/1684-1719.2023.8.8 (In Russian)