A method to convert near-perfect into perfect reconstruction FIR prototype filters for modulated filter banks

Leonardo G. Baltar; Amine Mezghani; Josef A. Nossek

doi:10.1109/ISCAS.2011.5937926

A method to convert near-perfect into perfect reconstruction FIR prototype filters for modulated filter banks

Leonardo G. Baltar, Amine Mezghani, Josef A. Nossek

Chair of Circuit Theory and Signal Processing (2008 — 2021)

Technical University of Munich

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

Abstract

In this contribution we propose a simple method of obtaining a perfect reconstruction (PR) FIR prototype filter starting from a given near-perfect reconstruction (NPR) prototype filter for complex modulated filter banks. Our method consists of two steps. First, we calculate the product of a pair of polyphase components that fulfill the PR conditions, and second, we search for spectral factors that maximize the correlation coefficients between the impulse response of the new polyphase components and of the original ones. Our preliminary numerical results show that the price to be payed to satisfy the PR conditions is some loss in the spectral characteristics.

Original language	English
Title of host publication	2011 IEEE International Symposium of Circuits and Systems, ISCAS 2011
Pages	1768-1771
Number of pages	4
DOIs	https://doi.org/10.1109/ISCAS.2011.5937926
State	Published - 2011
Event	2011 IEEE International Symposium of Circuits and Systems, ISCAS 2011 - Rio de Janeiro, Brazil Duration: 15 May 2011 → 18 May 2011

Publication series

Name	Proceedings - IEEE International Symposium on Circuits and Systems
ISSN (Print)	0271-4310

Conference

Conference	2011 IEEE International Symposium of Circuits and Systems, ISCAS 2011
Country/Territory	Brazil
City	Rio de Janeiro
Period	15/05/11 → 18/05/11

Access to Document

10.1109/ISCAS.2011.5937926

Cite this

Baltar, L. G., Mezghani, A., & Nossek, J. A. (2011). A method to convert near-perfect into perfect reconstruction FIR prototype filters for modulated filter banks. In 2011 IEEE International Symposium of Circuits and Systems, ISCAS 2011 (pp. 1768-1771). Article 5937926 (Proceedings - IEEE International Symposium on Circuits and Systems). https://doi.org/10.1109/ISCAS.2011.5937926

@inproceedings{149054cb37af4a8299904ad1781c292e,

title = "A method to convert near-perfect into perfect reconstruction FIR prototype filters for modulated filter banks",

abstract = "In this contribution we propose a simple method of obtaining a perfect reconstruction (PR) FIR prototype filter starting from a given near-perfect reconstruction (NPR) prototype filter for complex modulated filter banks. Our method consists of two steps. First, we calculate the product of a pair of polyphase components that fulfill the PR conditions, and second, we search for spectral factors that maximize the correlation coefficients between the impulse response of the new polyphase components and of the original ones. Our preliminary numerical results show that the price to be payed to satisfy the PR conditions is some loss in the spectral characteristics.",

author = "Baltar, {Leonardo G.} and Amine Mezghani and Nossek, {Josef A.}",

year = "2011",

doi = "10.1109/ISCAS.2011.5937926",

language = "English",

isbn = "9781424494736",

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

pages = "1768--1771",

booktitle = "2011 IEEE International Symposium of Circuits and Systems, ISCAS 2011",

note = "2011 IEEE International Symposium of Circuits and Systems, ISCAS 2011 ; Conference date: 15-05-2011 Through 18-05-2011",

}

Baltar, LG, Mezghani, A & Nossek, JA 2011, A method to convert near-perfect into perfect reconstruction FIR prototype filters for modulated filter banks. in 2011 IEEE International Symposium of Circuits and Systems, ISCAS 2011., 5937926, Proceedings - IEEE International Symposium on Circuits and Systems, pp. 1768-1771, 2011 IEEE International Symposium of Circuits and Systems, ISCAS 2011, Rio de Janeiro, Brazil, 15/05/11. https://doi.org/10.1109/ISCAS.2011.5937926

A method to convert near-perfect into perfect reconstruction FIR prototype filters for modulated filter banks. / Baltar, Leonardo G.; Mezghani, Amine; Nossek, Josef A.
2011 IEEE International Symposium of Circuits and Systems, ISCAS 2011. 2011. p. 1768-1771 5937926 (Proceedings - IEEE International Symposium on Circuits and Systems).

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

TY - GEN

T1 - A method to convert near-perfect into perfect reconstruction FIR prototype filters for modulated filter banks

AU - Baltar, Leonardo G.

AU - Mezghani, Amine

AU - Nossek, Josef A.

PY - 2011

Y1 - 2011

N2 - In this contribution we propose a simple method of obtaining a perfect reconstruction (PR) FIR prototype filter starting from a given near-perfect reconstruction (NPR) prototype filter for complex modulated filter banks. Our method consists of two steps. First, we calculate the product of a pair of polyphase components that fulfill the PR conditions, and second, we search for spectral factors that maximize the correlation coefficients between the impulse response of the new polyphase components and of the original ones. Our preliminary numerical results show that the price to be payed to satisfy the PR conditions is some loss in the spectral characteristics.

AB - In this contribution we propose a simple method of obtaining a perfect reconstruction (PR) FIR prototype filter starting from a given near-perfect reconstruction (NPR) prototype filter for complex modulated filter banks. Our method consists of two steps. First, we calculate the product of a pair of polyphase components that fulfill the PR conditions, and second, we search for spectral factors that maximize the correlation coefficients between the impulse response of the new polyphase components and of the original ones. Our preliminary numerical results show that the price to be payed to satisfy the PR conditions is some loss in the spectral characteristics.

UR - http://www.scopus.com/inward/record.url?scp=79960852919&partnerID=8YFLogxK

U2 - 10.1109/ISCAS.2011.5937926

DO - 10.1109/ISCAS.2011.5937926

M3 - Conference contribution

AN - SCOPUS:79960852919

SN - 9781424494736

T3 - Proceedings - IEEE International Symposium on Circuits and Systems

SP - 1768

EP - 1771

BT - 2011 IEEE International Symposium of Circuits and Systems, ISCAS 2011

T2 - 2011 IEEE International Symposium of Circuits and Systems, ISCAS 2011

Y2 - 15 May 2011 through 18 May 2011

ER -

A method to convert near-perfect into perfect reconstruction FIR prototype filters for modulated filter banks

Abstract

Publication series

Conference

Access to Document

Other files and links

Fingerprint

Cite this