Nonlinear phase FIR filter design with minimum LS error and additional constraints

Author

Lang, Markus ; Bamberger, Joachim

Author_Institution

Univ. of Erlangen, Germany

Volume

3

fYear

1993

fDate

27-30 April 1993

Firstpage

57

Abstract

The problem of approximating a complex frequency response by a real-valued FIR (finite impulse response) filter according to the L/sub 2/ norm subject to additional inequality constraints for the complex error function is examined. Starting with the Kuhn-Tucker optimality conditions which specialize to a system of nonlinear equations, an iterative algorithm is derived. These equations are solved by Newton´s method in every iteration step. The algorithm allows arbitrary compromises between an L/sub 2/ and an L/sub infinity / design. The L/sub 2/ and the L/sub infinity / solutions result as special cases.<>

Keywords

constraint theory; digital filters; frequency response; iterative methods; least squares approximations; nonlinear network synthesis; Kuhn-Tucker optimality conditions; Newton´s method; complex error function; complex frequency response; finite impulse response; inequality constraints; iterative algorithm; minimum least squares error; nonlinear equations; real-valued FIR filter design;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1993. ICASSP-93., 1993 IEEE International Conference on

Conference_Location

Minneapolis, MN, USA

ISSN

1520-6149

Print_ISBN

0-7803-7402-9

Type

conf

DOI

10.1109/ICASSP.1993.319434

Filename

319434