Title :
On Chebyshev design of linear-phase FIR filters with frequency inequality constraints
Author :
Lai, Xiaoping ; Zhao, Ruijie
Author_Institution :
Sch. of Inf. Eng., Shandong Univ., Weihai, China
Abstract :
The alternation theorem is the basis of the Remez algorithm for unconstrained Chebyshev design of finite-impulse response (FIR) filters. In this paper, we extend the alternation theorem to the inequality-constrained case and present an improved Remez algorithm for the design of minimax FIR filters with inequality constraints in frequency domain. Compared with existing algorithms, the presented algorithm has faster convergence rate and guaranteed optimal solutions.
Keywords :
Chebyshev filters; FIR filters; linear phase filters; Chebyshev design; Remez algorithm; frequency inequality constraints; linear-phase FIR filters; Algorithm design and analysis; Chebyshev approximation; Constraint theory; Finite impulse response filter; Frequency estimation; Frequency response; Iterative algorithms; MATLAB; Minimax techniques; Nonlinear filters; Alternation theorem; Remez algorithm; constrained Chebyshev design; finite-impulse response (FIR) filter;
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2005.855733
