Design of complementary filter pairs with canonical signed-digit coefficients using genetic algorithm

Li Liang, Majid Ahmadi, M.A. Sid-Ahmed · 2005

In this paper, a genetic algorithm (GA) is used to design doubly complementary filter pairs, which are realized as a parallel connection of two all-pass filters. The designed filters have canonical signed-digit (CSD) coefficients. A new CSD number restoration technique is proposed to ensure that the algorithm generates CSD coefficients with the pre-specified wordlength and maximum number of non-zero digits.

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