Design of linear phase IIR filter banks using eigenfilters

Alfonso Fernandez-Vazquez; Gordana Jovanovic-Dolecek

doi:10.1109/MWSCAS.2005.1594206

Design of linear phase IIR filter banks using eigenfilters

Alfonso Fernandez-Vazquez, Gordana Jovanovic-Dolecek

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

Abstract

This paper presents a new method for linear phase IIR (Infinite Impulse response) two-band filter bank design with perfect reconstruction (PR). The method Is based on the design of complex allpass filters. The resulting IIR filters can be real or complex depending on the parity of the allpass filter order N. The allpass filter coefficients are obtained from an eigenvector of a real, symmetric and definite positive matrix. The proposed matrix Is partitioned to obtain four (N + 1) × (N + 1) centrosymmetric submatrices. Consequently, If the minimum eigenvalue Is unique the resulting filter coefficients form a symmetric sequence. Closed form equations for the entries of each centrosymmetric matrix are given. Different design examples illustrate the method.

Original language	English
Title of host publication	2005 IEEE International 48th Midwest Symposium on Circuits and Systems, MWSCAS 2005
Pages	736-739
Number of pages	4
DOIs	https://doi.org/10.1109/MWSCAS.2005.1594206
State	Published - 2005
Externally published	Yes
Event	2005 IEEE International 48th Midwest Symposium on Circuits and Systems, MWSCAS 2005 - Cincinnati, OH, United States Duration: 7 Aug 2005 → 10 Aug 2005

Publication series

Name	Midwest Symposium on Circuits and Systems
Volume	2005
ISSN (Print)	1548-3746

Conference

Conference	2005 IEEE International 48th Midwest Symposium on Circuits and Systems, MWSCAS 2005
Country/Territory	United States
City	Cincinnati, OH
Period	7/08/05 → 10/08/05

Access to Document

10.1109/MWSCAS.2005.1594206

Cite this

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title = "Design of linear phase IIR filter banks using eigenfilters",

abstract = "This paper presents a new method for linear phase IIR (Infinite Impulse response) two-band filter bank design with perfect reconstruction (PR). The method Is based on the design of complex allpass filters. The resulting IIR filters can be real or complex depending on the parity of the allpass filter order N. The allpass filter coefficients are obtained from an eigenvector of a real, symmetric and definite positive matrix. The proposed matrix Is partitioned to obtain four (N + 1) × (N + 1) centrosymmetric submatrices. Consequently, If the minimum eigenvalue Is unique the resulting filter coefficients form a symmetric sequence. Closed form equations for the entries of each centrosymmetric matrix are given. Different design examples illustrate the method.",

author = "Alfonso Fernandez-Vazquez and Gordana Jovanovic-Dolecek",

year = "2005",

doi = "10.1109/MWSCAS.2005.1594206",

language = "Ingl{\'e}s",

isbn = "0780391977",

series = "Midwest Symposium on Circuits and Systems",

pages = "736--739",

booktitle = "2005 IEEE International 48th Midwest Symposium on Circuits and Systems, MWSCAS 2005",

note = "2005 IEEE International 48th Midwest Symposium on Circuits and Systems, MWSCAS 2005 ; Conference date: 07-08-2005 Through 10-08-2005",

}

Fernandez-Vazquez, A & Jovanovic-Dolecek, G 2005, Design of linear phase IIR filter banks using eigenfilters. in 2005 IEEE International 48th Midwest Symposium on Circuits and Systems, MWSCAS 2005., 1594206, Midwest Symposium on Circuits and Systems, vol. 2005, pp. 736-739, 2005 IEEE International 48th Midwest Symposium on Circuits and Systems, MWSCAS 2005, Cincinnati, OH, United States, 7/08/05. https://doi.org/10.1109/MWSCAS.2005.1594206

Design of linear phase IIR filter banks using eigenfilters. / Fernandez-Vazquez, Alfonso; Jovanovic-Dolecek, Gordana.
2005 IEEE International 48th Midwest Symposium on Circuits and Systems, MWSCAS 2005. 2005. p. 736-739 1594206 (Midwest Symposium on Circuits and Systems; Vol. 2005).

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

TY - GEN

T1 - Design of linear phase IIR filter banks using eigenfilters

AU - Fernandez-Vazquez, Alfonso

AU - Jovanovic-Dolecek, Gordana

PY - 2005

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N2 - This paper presents a new method for linear phase IIR (Infinite Impulse response) two-band filter bank design with perfect reconstruction (PR). The method Is based on the design of complex allpass filters. The resulting IIR filters can be real or complex depending on the parity of the allpass filter order N. The allpass filter coefficients are obtained from an eigenvector of a real, symmetric and definite positive matrix. The proposed matrix Is partitioned to obtain four (N + 1) × (N + 1) centrosymmetric submatrices. Consequently, If the minimum eigenvalue Is unique the resulting filter coefficients form a symmetric sequence. Closed form equations for the entries of each centrosymmetric matrix are given. Different design examples illustrate the method.

AB - This paper presents a new method for linear phase IIR (Infinite Impulse response) two-band filter bank design with perfect reconstruction (PR). The method Is based on the design of complex allpass filters. The resulting IIR filters can be real or complex depending on the parity of the allpass filter order N. The allpass filter coefficients are obtained from an eigenvector of a real, symmetric and definite positive matrix. The proposed matrix Is partitioned to obtain four (N + 1) × (N + 1) centrosymmetric submatrices. Consequently, If the minimum eigenvalue Is unique the resulting filter coefficients form a symmetric sequence. Closed form equations for the entries of each centrosymmetric matrix are given. Different design examples illustrate the method.

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M3 - Contribución a la conferencia

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SN - 9780780391970

T3 - Midwest Symposium on Circuits and Systems

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BT - 2005 IEEE International 48th Midwest Symposium on Circuits and Systems, MWSCAS 2005

T2 - 2005 IEEE International 48th Midwest Symposium on Circuits and Systems, MWSCAS 2005

Y2 - 7 August 2005 through 10 August 2005

ER -

Design of linear phase IIR filter banks using eigenfilters

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