Design of arbitrary FIR log filters by weighted least squares technique

Author

Pei, Soo-Chang ; Shyu, Jong-Jy

Author_Institution

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

Volume

42

Issue

9

fYear

1994

fDate

9/1/1994 12:00:00 AM

Firstpage

2495

Lastpage

2499

Abstract

An efficient method to design FIR filters with arbitrary log magnitude and phase responses is proposed. The method is based on an iterative weighted least squares (WLS) approach to obtain a nearly optimal approximation to the given log magnitude function in the least squares sense. The weighting function at each iteration is updated using the result of the previous iteration, which leads to an equiripple approximation in the log magnitude error. The method can be easily modified to approximate arbitrary log complex-valued frequency response, such as complex FIR log filters. Several examples are illustrated to show the effectiveness of the present approach

Keywords

digital filters; error analysis; frequency response; iterative methods; least squares approximations; minimisation; arbitrary FIR log filters; complex-valued frequency response; equiripple approximation; iteration; log magnitude error; log magnitude function; nearly optimal approximation; phase response; weighted least squares technique; Chebyshev approximation; Error correction; Finite impulse response filter; Frequency response; IIR filters; Least squares approximation; Least squares methods; Nonlinear filters; Speech synthesis; Stability;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.317871

Filename

317871