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

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

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

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

研究成果: Article › 査読

抄録

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.

本文言語	English
ページ（範囲）	712-720
ページ数	9
ジャーナル	IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
巻	E80-A
号	4
出版ステータス	Published - 1997 1 1

ASJC Scopus subject areas

Signal Processing
Computer Graphics and Computer-Aided Design
Electrical and Electronic Engineering
Applied Mathematics

文献へのアクセス

フィンガープリント「Design and lattice structure of FIR paraunitary filter banks with linear phase」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル

@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",

month = jan,

day = "1",

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 - 1997/1/1

Y1 - 1997/1/1

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 -