抄録
In this paper, we present a novel way to design biorthogonal and paraunitary linear phase filter banks. The square error of the time-domain constraints on the perfect reconstruction filter bank is expressed in a quadratic form with respect to the filter coefficients. This cost function is minimized by solving a set of linear equations iteratively. This means one can design biorthogonal filter banks without using nonlinear programming techniques. With some modifications, the method can be extended to the design of paraunitary filter banks. In addition, the lattice structure of paraunitary filter banks with filter length KM + β is also derived. Finally, some design examples are presented to validate the proposed method.
| 元の言語 | English |
|---|---|
| ページ（範囲） | 333-342 |
| ページ数 | 10 |
| ジャーナル | Signal Processing |
| 巻 | 80 |
| 発行部数 | 2 |
| DOI | |
| 出版物ステータス | Published - 2000 2 |
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ASJC Scopus subject areas
- Signal Processing
- Electrical and Electronic Engineering
これを引用
Time-domain design and lattice structure of FIR paraunitary filter banks with linear phase. / Ikehara, Masaaki; Nagai, Takayuki; Nguyen, Truong Q.
：: Signal Processing, 巻 80, 番号 2, 02.2000, p. 333-342.研究成果: Article
}
TY - JOUR
T1 - Time-domain design and lattice structure of FIR paraunitary filter banks with linear phase
AU - Ikehara, Masaaki
AU - Nagai, Takayuki
AU - Nguyen, Truong Q.
PY - 2000/2
Y1 - 2000/2
N2 - In this paper, we present a novel way to design biorthogonal and paraunitary linear phase filter banks. The square error of the time-domain constraints on the perfect reconstruction filter bank is expressed in a quadratic form with respect to the filter coefficients. This cost function is minimized by solving a set of linear equations iteratively. This means one can design biorthogonal filter banks without using nonlinear programming techniques. With some modifications, the method can be extended to the design of paraunitary filter banks. In addition, the lattice structure of paraunitary filter banks with filter length KM + β is also derived. Finally, some design examples are presented 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 time-domain constraints on the perfect reconstruction filter bank is expressed in a quadratic form with respect to the filter coefficients. This cost function is minimized by solving a set of linear equations iteratively. This means one can design biorthogonal filter banks without using nonlinear programming techniques. With some modifications, the method can be extended to the design of paraunitary filter banks. In addition, the lattice structure of paraunitary filter banks with filter length KM + β is also derived. Finally, some design examples are presented to validate the proposed method.
UR - http://www.scopus.com/inward/record.url?scp=0034140283&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0034140283&partnerID=8YFLogxK
U2 - 10.1016/S0165-1684(99)00131-0
DO - 10.1016/S0165-1684(99)00131-0
M3 - Article
AN - SCOPUS:0034140283
VL - 80
SP - 333
EP - 342
JO - Signal Processing
JF - Signal Processing
SN - 0165-1684
IS - 2
ER -