Linear phase FIR paraunitary filter banks and higher multiplicity wavelet given several analysis filters

C. W. Kok; M. Ikehara; T. Q. Nyuyen

Linear phase FIR paraunitary filter banks and higher multiplicity wavelet given several analysis filters

C. W. Kok, M. Ikehara, T. Q. Nyuyen

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

Abstract

The theory and design of paraunitary filter banks where several analysis filters are given is considered in this paper. Factorization based algorithm is derived for paraunitary completion problem with linear and nonlinear phase filters and arbitrary number of channels. A time domain algorithm is derived which formulates the problem in quadratic form for computational efficiency. Both algorithms are shown to completely characterize all embedding solution. The existence of orthogonal wavelet with higher multiplicity and with arbitrary number of channels is considered and design example is presented.

Original language	English
Pages (from-to)	201-204
Number of pages	4
Journal	Proceedings - IEEE International Symposium on Circuits and Systems
Volume	1
Publication status	Published - 1997 Jan 1
Externally published	Yes
Event	Proceedings of the 1997 IEEE International Symposium on Circuits and Systems, ISCAS'97. Part 4 (of 4) - Hong Kong, Hong Kong Duration: 1997 Jun 9 → 1997 Jun 12

ASJC Scopus subject areas

Electrical and Electronic Engineering

Cite this

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title = "Linear phase FIR paraunitary filter banks and higher multiplicity wavelet given several analysis filters",

abstract = "The theory and design of paraunitary filter banks where several analysis filters are given is considered in this paper. Factorization based algorithm is derived for paraunitary completion problem with linear and nonlinear phase filters and arbitrary number of channels. A time domain algorithm is derived which formulates the problem in quadratic form for computational efficiency. Both algorithms are shown to completely characterize all embedding solution. The existence of orthogonal wavelet with higher multiplicity and with arbitrary number of channels is considered and design example is presented.",

author = "Kok, {C. W.} and M. Ikehara and Nyuyen, {T. Q.}",

year = "1997",

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language = "English",

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journal = "Proceedings - IEEE International Symposium on Circuits and Systems",

issn = "0271-4310",

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

note = "Proceedings of the 1997 IEEE International Symposium on Circuits and Systems, ISCAS'97. Part 4 (of 4) ; Conference date: 09-06-1997 Through 12-06-1997",

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T1 - Linear phase FIR paraunitary filter banks and higher multiplicity wavelet given several analysis filters

AU - Kok, C. W.

AU - Ikehara, M.

AU - Nyuyen, T. Q.

PY - 1997/1/1

Y1 - 1997/1/1

N2 - The theory and design of paraunitary filter banks where several analysis filters are given is considered in this paper. Factorization based algorithm is derived for paraunitary completion problem with linear and nonlinear phase filters and arbitrary number of channels. A time domain algorithm is derived which formulates the problem in quadratic form for computational efficiency. Both algorithms are shown to completely characterize all embedding solution. The existence of orthogonal wavelet with higher multiplicity and with arbitrary number of channels is considered and design example is presented.

AB - The theory and design of paraunitary filter banks where several analysis filters are given is considered in this paper. Factorization based algorithm is derived for paraunitary completion problem with linear and nonlinear phase filters and arbitrary number of channels. A time domain algorithm is derived which formulates the problem in quadratic form for computational efficiency. Both algorithms are shown to completely characterize all embedding solution. The existence of orthogonal wavelet with higher multiplicity and with arbitrary number of channels is considered and design example is presented.

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M3 - Conference article

AN - SCOPUS:0030718733

SN - 0271-4310

VL - 1

SP - 201

EP - 204

JO - Proceedings - IEEE International Symposium on Circuits and Systems

JF - Proceedings - IEEE International Symposium on Circuits and Systems

T2 - Proceedings of the 1997 IEEE International Symposium on Circuits and Systems, ISCAS'97. Part 4 (of 4)

Y2 - 9 June 1997 through 12 June 1997

ER -

Linear phase FIR paraunitary filter banks and higher multiplicity wavelet given several analysis filters

Abstract

ASJC Scopus subject areas

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