Vector filter banks and multirate filter banks with block sampling

Xiang Gen Xia; Bruce W. Suter

doi:10.1109/ACSSC.1994.471614

Vector filter banks and multirate filter banks with block sampling

Xiang Gen Xia, Bruce W. Suter

United States Air Force Institute of Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

In this paper, we study general vector filter banks where the input signals and transfer functions in conventional multirate filter banks are replaced by vector signals and transfer matrices, respectively. We show that multirate filter banks with block sampling and linear time invariant transfer functions studied by Khansari and Leon-Garcia are special vector filter banks where the transfer matrices are pseudo-circulant. We then present necessary and sufficient conditions for the alias free property, FIR systems with FIR inverses, paraunitariness for vector filter banks. We also present a necessary and sufficient condition for paraunitary multirate filter banks with block sampling.

Original language	English
Title of host publication	Conference Record - 28th Asilomar Conference on Signals, Systems and Computers, ACSSC 1994
Publisher	IEEE Computer Society
Pages	1020-1024
Number of pages	5
ISBN (Electronic)	0818664053
DOIs	https://doi.org/10.1109/ACSSC.1994.471614
Publication status	Published - 1994
Externally published	Yes
Event	28th Asilomar Conference on Signals, Systems and Computers, ACSSC 1994 - Pacific Grove, United States Duration: 31 Oct 1994 → 2 Nov 1994

Publication series

Name	Conference Record - Asilomar Conference on Signals, Systems and Computers
Volume	2
ISSN (Print)	1058-6393

Conference

Conference	28th Asilomar Conference on Signals, Systems and Computers, ACSSC 1994
Country/Territory	United States
City	Pacific Grove
Period	31/10/94 → 2/11/94

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10.1109/ACSSC.1994.471614

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Xia, X. G., & Suter, B. W. (1994). Vector filter banks and multirate filter banks with block sampling. In Conference Record - 28th Asilomar Conference on Signals, Systems and Computers, ACSSC 1994 (pp. 1020-1024). Article 471614 (Conference Record - Asilomar Conference on Signals, Systems and Computers; Vol. 2). IEEE Computer Society. https://doi.org/10.1109/ACSSC.1994.471614

@inproceedings{ee621814abc746b195350d36293fa742,

title = "Vector filter banks and multirate filter banks with block sampling",

abstract = "In this paper, we study general vector filter banks where the input signals and transfer functions in conventional multirate filter banks are replaced by vector signals and transfer matrices, respectively. We show that multirate filter banks with block sampling and linear time invariant transfer functions studied by Khansari and Leon-Garcia are special vector filter banks where the transfer matrices are pseudo-circulant. We then present necessary and sufficient conditions for the alias free property, FIR systems with FIR inverses, paraunitariness for vector filter banks. We also present a necessary and sufficient condition for paraunitary multirate filter banks with block sampling.",

author = "Xia, {Xiang Gen} and Suter, {Bruce W.}",

note = "Publisher Copyright: {\textcopyright} 1995 IEEE.; 28th Asilomar Conference on Signals, Systems and Computers, ACSSC 1994 ; Conference date: 31-10-1994 Through 02-11-1994",

year = "1994",

doi = "10.1109/ACSSC.1994.471614",

language = "English",

series = "Conference Record - Asilomar Conference on Signals, Systems and Computers",

publisher = "IEEE Computer Society",

pages = "1020--1024",

booktitle = "Conference Record - 28th Asilomar Conference on Signals, Systems and Computers, ACSSC 1994",

address = "United States",

}

Xia, XG & Suter, BW 1994, Vector filter banks and multirate filter banks with block sampling. in Conference Record - 28th Asilomar Conference on Signals, Systems and Computers, ACSSC 1994., 471614, Conference Record - Asilomar Conference on Signals, Systems and Computers, vol. 2, IEEE Computer Society, pp. 1020-1024, 28th Asilomar Conference on Signals, Systems and Computers, ACSSC 1994, Pacific Grove, United States, 31/10/94. https://doi.org/10.1109/ACSSC.1994.471614

Vector filter banks and multirate filter banks with block sampling. / Xia, Xiang Gen; Suter, Bruce W.
Conference Record - 28th Asilomar Conference on Signals, Systems and Computers, ACSSC 1994. IEEE Computer Society, 1994. p. 1020-1024 471614 (Conference Record - Asilomar Conference on Signals, Systems and Computers; Vol. 2).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Xia, Xiang Gen

AU - Suter, Bruce W.

PY - 1994

Y1 - 1994

N2 - In this paper, we study general vector filter banks where the input signals and transfer functions in conventional multirate filter banks are replaced by vector signals and transfer matrices, respectively. We show that multirate filter banks with block sampling and linear time invariant transfer functions studied by Khansari and Leon-Garcia are special vector filter banks where the transfer matrices are pseudo-circulant. We then present necessary and sufficient conditions for the alias free property, FIR systems with FIR inverses, paraunitariness for vector filter banks. We also present a necessary and sufficient condition for paraunitary multirate filter banks with block sampling.

AB - In this paper, we study general vector filter banks where the input signals and transfer functions in conventional multirate filter banks are replaced by vector signals and transfer matrices, respectively. We show that multirate filter banks with block sampling and linear time invariant transfer functions studied by Khansari and Leon-Garcia are special vector filter banks where the transfer matrices are pseudo-circulant. We then present necessary and sufficient conditions for the alias free property, FIR systems with FIR inverses, paraunitariness for vector filter banks. We also present a necessary and sufficient condition for paraunitary multirate filter banks with block sampling.

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U2 - 10.1109/ACSSC.1994.471614

DO - 10.1109/ACSSC.1994.471614

M3 - Conference contribution

AN - SCOPUS:85063530576

T3 - Conference Record - Asilomar Conference on Signals, Systems and Computers

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EP - 1024

BT - Conference Record - 28th Asilomar Conference on Signals, Systems and Computers, ACSSC 1994

PB - IEEE Computer Society

T2 - 28th Asilomar Conference on Signals, Systems and Computers, ACSSC 1994

Y2 - 31 October 1994 through 2 November 1994

ER -

Vector filter banks and multirate filter banks with block sampling

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