Design of linear phase FIR filters with a maximally flat passband

Author

Hanna, Magdy T.

Author_Institution

Dept. of Electr. Eng., Bahrain Univ., Isa Town, Bahrain

Volume

43

Issue

2

fYear

1996

fDate

2/1/1996 12:00:00 AM

Firstpage

142

Lastpage

147

Abstract

The design of linear phase FIR digital filters having symmetric or antisymmetric impulse response is formulated as a constrained minimization problem. The constraints express the maximal flatness of the frequency response at the origin in the case of a low-pass filter or at an arbitrary frequency in the passband in the case of a bandpass filter. The objective function, which is a quadratic form in the filter coefficients, is formed as a convex combination of two objective functions representing the energy of the error between the frequency response of the designed filter and a scaled version of the frequency response of the ideal filter in both the stop and passbands

Keywords

FIR filters; delay circuits; digital filters; error analysis; filtering theory; frequency response; minimisation; constrained minimization problem; frequency response; linear phase FIR filters; maximally flat passband; objective function; Band pass filters; Digital filters; Finite impulse response filter; Frequency response; Instruction sets; Low pass filters; Minimax techniques; Nonlinear filters; Passband; Polynomials;

fLanguage

English

Journal_Title

Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1057-7130

Type

jour

DOI

10.1109/82.486462

Filename

486462