Метод синтеза согласованного фильтра

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.