Linear time-varying systems analysis in wavelet domain

Karci H., Tohumoglu G.

ELECTRICAL ENGINEERING, vol.89, no.8, pp.653-658, 2007 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 89 Issue: 8
  • Publication Date: 2007
  • Doi Number: 10.1007/s00202-006-0046-y
  • Journal Name: ELECTRICAL ENGINEERING
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.653-658
  • Keywords: LTV system analysis, wavelet domain, SAIWD method, STEADY-STATE ANALYSIS, NETWORKS
  • Dokuz Eylül University Affiliated: No

Abstract

A new analysis method based on wavelet domain for linear time-varying systems is developed and introduced and it is called system analysis in wavelet domain (SAIWD). Linear time-varying systems described by a higher order differential equation or state-space representation are analyzed in wavelet domain. To solve system equations, they are transferred to wavelet domain by forming algebraic matrix-vector relations using the wavelet transform coefficients. These relations are achieved by defining operator matrices concerned with the commonly used time domain operators. Orthogonal and compact support wavelets provide a simple way to define these operator matrices. It is seen from the solved examples that the percentage error between the analytical and wavelet domain solutions is around 1% in total sampling points.