A simple construction for the M-band dual-tree complex wavelet transform

Ilker Bayram, Ivan W. Selesnick

Research output: Contribution to conferencePaper

Abstract

The dual-tree complex wavelet transform (DT-CWT) which utilizes two 2-band discrete wavelet transforms (DWT) was recently extended to M-band by Chaux et al. In this paper, we provide a simple construction method for an M-band DT-CWT, with M = rd where r, d ∈ ℤ, In particular, we show how to extend a given r-band DT-ℂWT to an rd-band one. For convenience, the case where r = 2, d = 2 is considered. However, the scheme can be extended to general {r, d} pairs straightforwardly. The extension to 2-D which achieves a directional analysis is also provided.

Original languageEnglish (US)
Pages596-601
Number of pages6
DOIs
StatePublished - 2006
Event2006 IEEE 12th Digital Signal Processing Workshop and 4th IEEE Signal Processing Education Workshop, DSPWS - Moose, WY, United States
Duration: Sep 24 2006Sep 27 2006

Other

Other2006 IEEE 12th Digital Signal Processing Workshop and 4th IEEE Signal Processing Education Workshop, DSPWS
CountryUnited States
CityMoose, WY
Period9/24/069/27/06

Keywords

  • 2-band dual-tree
  • Directional wavelets
  • Fulbert transform pairs
  • M-band dual-tree

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering

Fingerprint Dive into the research topics of 'A simple construction for the M-band dual-tree complex wavelet transform'. Together they form a unique fingerprint.

  • Cite this

    Bayram, I., & Selesnick, I. W. (2006). A simple construction for the M-band dual-tree complex wavelet transform. 596-601. Paper presented at 2006 IEEE 12th Digital Signal Processing Workshop and 4th IEEE Signal Processing Education Workshop, DSPWS, Moose, WY, United States. https://doi.org/10.1109/DSPWS.2006.265493