On Chebyshev design of linear-phase FIR filters with frequency inequality constraints
Xiaoping Lai, Ruijie Zhao · IEEE Transactions on Circuits and Systems II Analog and Digital Signal Processing · 2006
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.