A practical method for designing FIR digital filters in the complex domain

Author

Feng Qin

Author_Institution

State Univ. of New York, Buffalo, NY

Volume

45

Issue

8

fYear

1997

fDate

8/1/1997 12:00:00 AM

Firstpage

2092

Lastpage

2096

Abstract

A new method is presented for the design of FIR fillers in the complex domain. The method converts the complex approximation problem into an equivalent real nonlinear optimization problem, which is solved by successive linearization using an effective geometrical linearization technique. The method converges rapidly, and the solution has a guaranteed accuracy. It also has the flexibility of allowing addition of extra constraints such as constant group delay constraints and transition-band magnitude overshoot constraints. Numerical examples are presented to illustrate the performance of the method

Keywords

FIR filters; convergence of numerical methods; digital filters; linear programming; linearisation techniques; optimisation; FIR digital filters; complex approximation problem; complex domain; constant group delay constraints; convergence; design method; effective geometrical linearization technique; equivalent real nonlinear optimization problem; numerical examples; successive linearization; transition-band magnitude overshoot constraints; Chebyshev approximation; Delay; Design methodology; Digital filters; Finite impulse response filter; Frequency response; Iterative algorithms; Linear programming; Linearization techniques; Optimization methods;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.611215

Filename

611215