On the frame bounds of iterated filter banks


Bayram I. , Selesnick I. W.

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, cilt.27, ss.255-262, 2009 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 27 Konu: 2
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1016/j.acha.2009.02.005
  • Dergi Adı: APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS
  • Sayfa Sayıları: ss.255-262

Özet

We investigate the frame bounds of iterated non-perfect reconstruction filter banks. We provide frame bounds valid for iterated FBs with an arbitrary number of stages using the frame bounds of the underlying frame on the real line. Conversely, given the frame bounds of the iterated FB, we derive bounds for the underlying wavelet frame. (C) 2009 Elsevier Inc. All rights reserved.