Research and Development of Noise-Resistant Algorithms for Calculating the Group Delay Time of a Model Digital Signal with a Random Noise Component

Abstract

The features of calculating the group delay time of a signal based on digital measurements of the S parameters of microwave devices are considered. Methods for calculating the group delay time of a signal with a random noise component are studied based on differentiation by the increment method and approximation. A method for calculating the group delay time based on the differentiation method using sliding piecewise linear approximation is proposed. This algorithm is more resistant to the noise component of the signal than standard method of calculating the group delay time of a signal developed using the example of the one-sided difference method and has less computational complexity than the method presented in the article based on quadratic approximation. The results of testing the operation of the described methods are presented, which illustrate that the methods are suitable for calculating the group delay time.