An Analytic Wavelet Transform With a Flexible Time-Frequency Covering

Bayram I.

IEEE TRANSACTIONS ON SIGNAL PROCESSING, vol.61, no.5, pp.1131-1142, 2013 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 61 Issue: 5
  • Publication Date: 2013
  • Doi Number: 10.1109/tsp.2012.2232655
  • Journal Name: IEEE TRANSACTIONS ON SIGNAL PROCESSING
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1131-1142
  • Istanbul Technical University Affiliated: No

Abstract

We develop a rational-dilation wavelet transform for which the dilation factor, the Q-factor and the redundancy can be easily specified. The introduced transform contains Hilbert transform pairs of atoms, therefore it is also suitable for oscillatory signal processing. The transform may be modified to obtain a tight chirplet frame for discrete-time signals. A fast implementation, that makes use of an equivalent filter bank, makes the transform suitable for long signals. Examples on natural signals are provided to demonstrate the utility of the transform.