Analysis of periodically time-varying discrete-time systems in spectral domain

Abstract

It is well known the concept of the steady-state response in the theory of linear time invariant systems. In this paper, the method called spectral analysis is newly adopted for periodically time varying (PTV) discrete time systems from the theory of the spectral analysis of linear PTV continuous time systems. Shortly, it describes the steady-state analysis of PTV discrete time systems. It leads to a simple algebraic relations in the frequency domain that minimizes calculations in the time domain. In order to show the generality and usefulness of this method, an illustrative examples are chosen. The comparison of the results with the exact solution concludes that the systems having smooth variation-less number of harmonics with respect to strongly varying systems are rapidly convergent with the high accuracy. The error analysis has being done by computing the root-mean-square error.