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

Ilker Bayram; Ivan W. Selesnick

doi:10.1109/DSPWS.2006.265493

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

Ilker Bayram, Ivan W. Selesnick

Electrical and Computer Engineering

Research output: Contribution to conference › Paper › peer-review

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 = r^d where r, d ∈ ℤ, In particular, we show how to extend a given r-band DT-ℂWT to an r^d-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 language	English (US)
Pages	596-601
Number of pages	6
DOIs	https://doi.org/10.1109/DSPWS.2006.265493
State	Published - 2006
Event	2006 IEEE 12th Digital Signal Processing Workshop and 4th IEEE Signal Processing Education Workshop, DSPWS - Moose, WY, United States Duration: Sep 24 2006 → Sep 27 2006

Other

Other	2006 IEEE 12th Digital Signal Processing Workshop and 4th IEEE Signal Processing Education Workshop, DSPWS
Country/Territory	United States
City	Moose, WY
Period	9/24/06 → 9/27/06

Keywords

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

ASJC Scopus subject areas

Signal Processing
Electrical and Electronic Engineering

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10.1109/DSPWS.2006.265493

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title = "A simple construction for the M-band dual-tree complex wavelet transform",

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.",

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year = "2006",

doi = "10.1109/DSPWS.2006.265493",

language = "English (US)",

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note = "2006 IEEE 12th Digital Signal Processing Workshop and 4th IEEE Signal Processing Education Workshop, DSPWS ; Conference date: 24-09-2006 Through 27-09-2006",

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T1 - A simple construction for the M-band dual-tree complex wavelet transform

AU - Bayram, Ilker

AU - Selesnick, Ivan W.

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AB - 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.

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KW - Directional wavelets

KW - Fulbert transform pairs

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T2 - 2006 IEEE 12th Digital Signal Processing Workshop and 4th IEEE Signal Processing Education Workshop, DSPWS

Y2 - 24 September 2006 through 27 September 2006

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

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