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A unified approach for optimal design of FIR filters with arbitrary frequency response

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2 Author(s)
Shefeng Yan ; Inst. of Acousti. Eng., Northwestern Polytech. Univ., Xi'an, China ; Yuanliang Ma

A unified approach for the optimal design of finite-impulse response (FIR) filters with arbitrary' magnitude and phase response using second-order cone programming (SOCP) is proposed. FIR filters with desired frequency response can be implemented by minimizing the frequency domain response error measure (L1, L2, or L-norm of the error) between the designed filter response and the desired one. Some constraints can also be imposed in the passband or/and stopband to satisfy applications-oriented requirements. These optimal design problems can be reformulated as convex optimization form as the SOCP and solved efficiently via the well-established interior point method. The SOCP approach allows much more design flexibility in comparison to the classical minimax, least-square, and eigenfilter approaches. Computer simulation results for the design of FIR filters with desired frequency response show good performance of the proposed approach.

Published in:

Signal Processing, 2004. Proceedings. ICSP '04. 2004 7th International Conference on  (Volume:1 )

Date of Conference:

31 Aug.-4 Sept. 2004