A Complex Chebyshev Design Method of FIR Filters with Prescribed Maximum Magnitude Deviation

Toma Miyata, Kosuke Teramoto, Naoyuki Aikawa, Yasunori Sugita, and Toshinori Yoshikawa

Keywords

Successive Projections Method, Updating Maximum Allowable Deviation, FIR Filters, Complex Chebyshev Approximation

Abstract

A previous successive projections (SP) method must determinate arbitrary maximum allowable deviation. As the result, the obtained solution does not converge and/or the obtained filter does not have equiripple characteristics. We presented a design method of linear phase FIR filters by SP method recalculating maximum allowable deviation at each iteration. In this paper, we present a design method of complex chebyshev approximation for FIR filters by SP method recalculating maximum allowable deviation. Finally, we confirm the effectiveness of the proposed method through several examples.

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