Phase approximation using signals affected by random perturbations [articol]

Abstract

The goal of this paper is to give a comparison between two methods for phase approximations: non-compact gain technique for linear frequency domain and the approach based on logarithmic sampling of gain for logarithmic frequency domain, using signals affected by random perturbations. A comparison of the behavior of these algorithms, considering signals affected by perturbations, respectively signals that are not affected by perturbations, will be also presented. For this purpose we first recall Hilbert transform and Bode relationships, then the two methods will be discussed. Numerical examples are provided to emphasize the advantages and disadvantages of each method and computer simulations performed using Matlab are also presented.