Design and lattice structure of FIR paraunitary filter banks with linear phase

Takayuki Nagai, C. W. Kok, Masaaki Ikehara, Truong Q. Nguyen

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

In this paper, we present a novel way to design biorthogonal and paraunitary linear phase filter banks. The square error of the perfect reconstruction of the filter bank is expressed in quadratic form of filter coefficients and the cost function is minimized by solving linear equation iteratively without nonlinear optimization. With some modifications, this method is extended to the design of paraunitary filter banks. Furthermore, the lattice structure of odd-channel paraunitary filter banks is also derived. Design examples are given to validate the proposed method.

Original languageEnglish
Pages (from-to)712-720
Number of pages9
JournalIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
VolumeE80-A
Issue number4
Publication statusPublished - 1997

Fingerprint

FIR Filter
Filter Banks
Lattice Structure
Filter banks
FIR filters
Nonlinear Optimization
Linear equations
Quadratic form
Cost functions
Cost Function
Linear equation
Odd
Filter
Design
Coefficient

Keywords

  • Filter banks
  • Lattice structure
  • Linear phase

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Hardware and Architecture
  • Information Systems

Cite this

Design and lattice structure of FIR paraunitary filter banks with linear phase. / Nagai, Takayuki; Kok, C. W.; Ikehara, Masaaki; Nguyen, Truong Q.

In: IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Vol. E80-A, No. 4, 1997, p. 712-720.

Research output: Contribution to journalArticle

@article{aa1128a936a54421bee019d26e535ea5,
title = "Design and lattice structure of FIR paraunitary filter banks with linear phase",
abstract = "In this paper, we present a novel way to design biorthogonal and paraunitary linear phase filter banks. The square error of the perfect reconstruction of the filter bank is expressed in quadratic form of filter coefficients and the cost function is minimized by solving linear equation iteratively without nonlinear optimization. With some modifications, this method is extended to the design of paraunitary filter banks. Furthermore, the lattice structure of odd-channel paraunitary filter banks is also derived. Design examples are given to validate the proposed method.",
keywords = "Filter banks, Lattice structure, Linear phase",
author = "Takayuki Nagai and Kok, {C. W.} and Masaaki Ikehara and Nguyen, {Truong Q.}",
year = "1997",
language = "English",
volume = "E80-A",
pages = "712--720",
journal = "IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences",
issn = "0916-8508",
publisher = "Maruzen Co., Ltd/Maruzen Kabushikikaisha",
number = "4",

}

TY - JOUR

T1 - Design and lattice structure of FIR paraunitary filter banks with linear phase

AU - Nagai, Takayuki

AU - Kok, C. W.

AU - Ikehara, Masaaki

AU - Nguyen, Truong Q.

PY - 1997

Y1 - 1997

N2 - In this paper, we present a novel way to design biorthogonal and paraunitary linear phase filter banks. The square error of the perfect reconstruction of the filter bank is expressed in quadratic form of filter coefficients and the cost function is minimized by solving linear equation iteratively without nonlinear optimization. With some modifications, this method is extended to the design of paraunitary filter banks. Furthermore, the lattice structure of odd-channel paraunitary filter banks is also derived. Design examples are given to validate the proposed method.

AB - In this paper, we present a novel way to design biorthogonal and paraunitary linear phase filter banks. The square error of the perfect reconstruction of the filter bank is expressed in quadratic form of filter coefficients and the cost function is minimized by solving linear equation iteratively without nonlinear optimization. With some modifications, this method is extended to the design of paraunitary filter banks. Furthermore, the lattice structure of odd-channel paraunitary filter banks is also derived. Design examples are given to validate the proposed method.

KW - Filter banks

KW - Lattice structure

KW - Linear phase

UR - http://www.scopus.com/inward/record.url?scp=0031118624&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031118624&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0031118624

VL - E80-A

SP - 712

EP - 720

JO - IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

JF - IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

SN - 0916-8508

IS - 4

ER -