Title :
Chebyshev Design of Complex FIR Filters with Equality-and-Inequality Constraints in Frequency Domain
Author :
Zhao, Ruijie ; Lai, Xiaoping
Author_Institution :
Sch. of Mech. & Electr. Eng., Shandong Univ. at Weihai, Weihai, China
Abstract :
The Chebyshev design of complex finite impulse response (FIR) filters with frequency equality-and-inequality constraints is considered in this paper. Firstly, a sufficient condition for the optimal solution to such design problems is established. According to the condition, we then extend the algorithm proposed in from the inequality constrained only to the equality-and-inequality constrained case by taking the weights at equality constrained points to be infinity or a sufficiently great number. The generalized approach is guaranteed to converge fast to the optimal solution provided the optimal solution exists. Finally, some examples are presented to illustrate the performance of the approach.
Keywords :
Chebyshev filters; FIR filters; Chebyshev design; complex finite impulse response filters; equality-and-inequality constraints; frequency domain; Chebyshev approximation; Constraint theory; Design automation; Filtering; Finite impulse response filter; Frequency domain analysis; Frequency response; H infinity control; Iterative algorithms; Sufficient conditions; alternation theorem; complex FIR filter; complex Remez algorithm; equality-and-inequality constraints; iterative Remez algorithm;
Conference_Titel :
Intelligent Computation Technology and Automation, 2009. ICICTA '09. Second International Conference on
Print_ISBN :
978-0-7695-3804-4
DOI :
10.1109/ICICTA.2009.141