Title :
Design of high-order Chebyshev FIR filters in the complex domain under magnitude constraints
Author_Institution :
Dept. of ELEC, Vrije Univ., Brussels
fDate :
6/1/1998 12:00:00 AM
Abstract :
This article discusses the design of FIR filters that approximate a complex-valued target frequency response in a Chebyshev sense. Additionally, the required stopband attenuation can be specified. Solving the dual of a semi-infinite linear program is currently the most efficient way to design such filters, but numerical problems prevent the design of high-order FIR filters. Modifications are proposed to overcome this limitation. Furthermore, an efficient method is presented for generating starting values that are close to the optimal solution such that the number of iterations is considerably reduced. Examples of filters with a length up to 250 taps are included
Keywords :
Chebyshev filters; FIR filters; circuit optimisation; digital filters; frequency response; minimax techniques; network synthesis; FIR filter design; complex domain; complex-valued target frequency response; filter length; filter taps; high-order Chebyshev FIR filters; iterations; magnitude constraints; minimax method; numerical problems; optimal solution; semi-infinite linear program; starting values; stopband attenuation; Attenuation; Chebyshev approximation; Digital filters; Equalizers; Finite impulse response filter; Frequency response; Minimax techniques; Nonlinear filters; Numerical stability; Signal processing algorithms;
Journal_Title :
Signal Processing, IEEE Transactions on
