Chebyshev Design of Complex FIR Digital Filters with Magnitude Constraints
Xiaoping Lai · Dianzi xuebao · 2006
The complex Alternation Theorem proposed by L.J.Karam and McClellan is the foundation of the complex Remez algorithm for Chebyshev design of complex FIR filters.Herein,the complex Alternation Theorem is extended to the case with inequality constraints,and then a new algorithm is presented for the design of Chebyshev FIR filters with magnitude inequality constraints.The new algorithm combines the complex Remez algorithm and the iterative Remez algorithm proposed by X.P.Lai,and is guaranteed to converge to the optimal solution,if exists.A lot of design examples are to be given,and the results of simulation illustrate the performance of the algorithm