Linear phase FIR two-channel uniform maximally decimated modulated filter bank design via a weightless multi-criterion functional inequality constrained optimization approach

Ho, Charlotte Yuk-Fan and Ling, Bingo Wing-Kuen and Chi, Zhi-Wei (2008) Linear phase FIR two-channel uniform maximally decimated modulated filter bank design via a weightless multi-criterion functional inequality constrained optimization approach. In: The 2nd International Conference on Information Systems Sciences, 18-20 December 2008, Dalian, China.

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Abstract

In this paper, a linear phase finite impulse response (FIR) two-channel uniform maximally decimated modulated filter bank design problem is formulated as two functional inequality constrained optimization problems, in which the first optimization problem is to minimize the maximum ripple magnitude of the prototype filter subject to the specification on the maximum amplitude distortion of the filter bank, while the other optimization problem is to minimize the maximum amplitude distortion of the filter bank subject to the specification on the maximum ripple magnitude of the prototype filter. By solving these two optimization problems iteratively, the obtained solution minimizes both the maximum amplitude distortion of the filter bank and the maximum ripple magnitude of the prototype filter. The proof of the convergence of the iterative algorithm is given. Computer numerical simulation results show the effectiveness of the proposed method.

Item Type:Conference or Workshop Item (Paper)
Additional Information:In this paper, a linear phase finite impulse response (FIR) two-channel uniform maximally decimated modulated filter bank design problem is formulated as two functional inequality constrained optimization problems, in which the first optimization problem is to minimize the maximum ripple magnitude of the prototype filter subject to the specification on the maximum amplitude distortion of the filter bank, while the other optimization problem is to minimize the maximum amplitude distortion of the filter bank subject to the specification on the maximum ripple magnitude of the prototype filter. By solving these two optimization problems iteratively, the obtained solution minimizes both the maximum amplitude distortion of the filter bank and the maximum ripple magnitude of the prototype filter. The proof of the convergence of the iterative algorithm is given. Computer numerical simulation results show the effectiveness of the proposed method.
Keywords:Linear phase finite impulse response two-channel uniform maximally decimated modulated filter bank design, Weightless multi-criterion functional inequality constrained optimization problem, Amplitude distortion, Ripple magnitude
Subjects:H Engineering > H600 Electronic and Electrical Engineering
Divisions:College of Science > School of Engineering
ID Code:2722
Deposited By: Rosaline Smith
Deposited On:23 Jun 2010 14:04
Last Modified:13 Mar 2013 08:40

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