On the existence of a disk algebra basis

Akcay H.

SIGNAL PROCESSING, cilt.80, sa.5, ss.903-907, 2000 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 80 Sayı: 5
  • Basım Tarihi: 2000
  • Doi Numarası: 10.1016/s0165-1684(00)00063-3
  • Dergi Adı: SIGNAL PROCESSING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.903-907
  • Anahtar Kelimeler: Fourier series, rational wavelets, disk algebra, ORTHONORMAL BASIS FUNCTIONS, LINEAR DYNAMICAL-SYSTEMS, IDENTIFICATION
  • Anadolu Üniversitesi Adresli: Hayır

Özet

In this paper, approximation of discrete-time systems by fixed pole orthonormal basis functions is investigated. It is shown that if accumulation points of basis poles do not cover the entire unit circle, then the Fourier series of some function in the disk algebra A (the set of functions continuous in the closed unit disk and analytic inside the unit circle) with respect to the basis diverges in the supremum norm. The divergence result is extended to rational wavelets. (C) 2000 Published by Elsevier Science B.V. All rights reserved.