Efficient design of cosine-modulated filter banks using evolutionary multi-objective optimization

Authors:
Md. Nasir;Soumyadip Sengupta;Swagatam Das
Affiliations:
Dept. of Electronics and Telecomm. Engg., Jadavpur University, Kolkata, India;Dept. of Electronics and Telecomm. Engg., Jadavpur University, Kolkata, India;Electronics and Communication Sciences Unit, Indian Statistical Institute, Kolkata, India
Venue:
SEMCCO'12 Proceedings of the Third international conference on Swarm, Evolutionary, and Memetic Computing
Year:
2012

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Abstract

We propose a novel and efficient way to design maximally decimated FIR cosine modulated filter banks, in which each analysis and synthesis filter has linear phase. We consider a class of near-perfect reconstruction CMFBs with the linear phase prototype filter, which structurally eliminates the amplitude overall distortion. The prototype filter design problem is then formulated into a multi-objective optimization problem (MOP), which aims at maximizing stop-band attenuation and minimizing reconstruction error simultaneously. We have modeled the design problem as a constrained multi-objective optimization problem which is efficiently solved by using a recently proposed algorithm MOEA/DFD. Experiment shows that the performance of MOEA/DFD exceeds that of MOEA/D and NSGA-II.