Transform domain adaptive linear phase filter

Author

Pei, Soo-Chang ; Tseng, Chien-Cheng

Author_Institution

Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei, Taiwan

Volume

44

Issue

12

fYear

1996

fDate

12/1/1996 12:00:00 AM

Firstpage

3142

Lastpage

3146

Abstract

Describes a new adaptive linear-phase filter whose weights are updated by the normalized least-mean-square (LMS) algorithm in the transform domain. This algorithm provides a faster convergence rate compared with the time domain linear phase LMS algorithm. Various real-valued orthogonal transforms are investigated such as the discrete cosine transform (DCT), discrete Hartley transform (DHT), and power of two (PO2) transform, etc. By using the symmetry property of the transform matrix, an efficient implementation structure is proposed. A system identification example is presented to demonstrate its performance

Keywords

FIR filters; Hartley transforms; adaptive filters; convergence of numerical methods; delay circuits; digital filters; discrete cosine transforms; identification; least mean squares methods; matrix algebra; DCT; DHT; LMS algorithm; PO2 transform; convergence rate; discrete Hartley transform; discrete cosine transform; implementation structure; normalized least-mean-square; performance; power of two transform; real-valued orthogonal transforms; symmetry property; system identification example; transform domain adaptive linear phase filter; transform matrix; Adaptive algorithm; Adaptive filters; Convergence; Eigenvalues and eigenfunctions; Finite impulse response filter; Least squares approximation; Mean square error methods; Nonlinear filters; Signal processing algorithms; Symmetric matrices;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.553489

Filename

553489