Multidimensional 2-channel PR filter banks

Soontom Oraintara; Truong Q. Nguyen

Multidimensional 2-channel PR filter banks

Soontom Oraintara
, Truong Q. Nguyen

Boston University

Research output: Contribution to journal › Conference article › peer-review

6 Citations (Scopus)

Abstract

General concept of multidimensional (M-D) two-channel perfect reconstruction (PR) filter banks is presented. The framework starts by constructing a factorizable halfband function in M-D and, subsequently, uses spectral factorization to obtain the subband filters. Number of zeros at aliasing frequency can be obtained easily by using variable transformation from 1-D to M-D. Possible passband shape is discussed. A novel condition for 2-channel PR filter banks in M-D is presented by which the choices of possible passband shapes are significantly reduced. Finally, a frequency mapping between two possible passbands is proposed. A necessary and sufficient condition for the mapping to preserve the PR condition is presented.

Original language	English
Pages (from-to)	1269-1273
Number of pages	5
Journal	Conference Record of the Asilomar Conference on Signals, Systems and Computers
Volume	2
Publication status	Published - 1998
Externally published	Yes
Event	Proceedings of the 1997 31st Asilomar Conference on Signals, Systems & Computers. Part 1 (of 2) - Pacific Grove, CA, USA Duration: 2 Nov 1997 → 5 Nov 1997

Cite this

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title = "Multidimensional 2-channel PR filter banks",

abstract = "General concept of multidimensional (M-D) two-channel perfect reconstruction (PR) filter banks is presented. The framework starts by constructing a factorizable halfband function in M-D and, subsequently, uses spectral factorization to obtain the subband filters. Number of zeros at aliasing frequency can be obtained easily by using variable transformation from 1-D to M-D. Possible passband shape is discussed. A novel condition for 2-channel PR filter banks in M-D is presented by which the choices of possible passband shapes are significantly reduced. Finally, a frequency mapping between two possible passbands is proposed. A necessary and sufficient condition for the mapping to preserve the PR condition is presented.",

author = "Soontom Oraintara and Nguyen, \{Truong Q.\}",

year = "1998",

language = "English",

volume = "2",

pages = "1269--1273",

journal = "Conference Record of the Asilomar Conference on Signals, Systems and Computers",

issn = "1058-6393",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

note = "Proceedings of the 1997 31st Asilomar Conference on Signals, Systems \& Computers. Part 1 (of 2) ; Conference date: 02-11-1997 Through 05-11-1997",

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TY - JOUR

T1 - Multidimensional 2-channel PR filter banks

AU - Oraintara, Soontom

AU - Nguyen, Truong Q.

PY - 1998

Y1 - 1998

N2 - General concept of multidimensional (M-D) two-channel perfect reconstruction (PR) filter banks is presented. The framework starts by constructing a factorizable halfband function in M-D and, subsequently, uses spectral factorization to obtain the subband filters. Number of zeros at aliasing frequency can be obtained easily by using variable transformation from 1-D to M-D. Possible passband shape is discussed. A novel condition for 2-channel PR filter banks in M-D is presented by which the choices of possible passband shapes are significantly reduced. Finally, a frequency mapping between two possible passbands is proposed. A necessary and sufficient condition for the mapping to preserve the PR condition is presented.

AB - General concept of multidimensional (M-D) two-channel perfect reconstruction (PR) filter banks is presented. The framework starts by constructing a factorizable halfband function in M-D and, subsequently, uses spectral factorization to obtain the subband filters. Number of zeros at aliasing frequency can be obtained easily by using variable transformation from 1-D to M-D. Possible passband shape is discussed. A novel condition for 2-channel PR filter banks in M-D is presented by which the choices of possible passband shapes are significantly reduced. Finally, a frequency mapping between two possible passbands is proposed. A necessary and sufficient condition for the mapping to preserve the PR condition is presented.

UR - https://www.scopus.com/pages/publications/0031676592

M3 - Conference article

AN - SCOPUS:0031676592

SN - 1058-6393

VL - 2

SP - 1269

EP - 1273

JO - Conference Record of the Asilomar Conference on Signals, Systems and Computers

JF - Conference Record of the Asilomar Conference on Signals, Systems and Computers

T2 - Proceedings of the 1997 31st Asilomar Conference on Signals, Systems & Computers. Part 1 (of 2)

Y2 - 2 November 1997 through 5 November 1997

ER -

Multidimensional 2-channel PR filter banks

Abstract

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