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

TOHUMOĞLU G.

APPLIED MATHEMATICS AND COMPUTATION, cilt.162, sa.3, ss.1151-1165, 2005 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 162 Sayı: 3
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1016/j.amc.2004.02.002
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1151-1165
  • Anahtar Kelimeler: periodic systems, spectral analysis, spectral domain, tinie-varying systems, discrete-time systems
  • Dokuz Eylül Üniversitesi Adresli: Hayır

Özet

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 or 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. (C) 2004 Elsevier Inc. All rights reserved.