Optimal cosine modulated nonuniform linear phase FIR filter bank design via stretching and shifting frequency response of prototype filter

Ho, Charlotte Yuk-Fan, Ling, Bingo Wing-Kuen, Benmesbah, Lamia , Kok, Ted Chi-Wah, Siu, Wan-Chi and Teo, Kok-Lay (2010) Optimal cosine modulated nonuniform linear phase FIR filter bank design via stretching and shifting frequency response of prototype filter. In: 7th IEEE, IET International Symposium on Communication Systems, Networks, and Digital Signal Processing, 21 - 23 July 2010, Northumbria University, Newcastle upon Tyne.

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Item Type:Conference or Workshop contribution (Paper)
Item Status:Live Archive

Abstract

This paper proposes an optimal cosine modulated nonuniform linear phase finite impulse response (FIR) filter bank design. The frequency responses of all the analysis filters and the synthesis filters of the filter bank are derived based on both stretching and shifting the frequency response of the prototype filter. The total aliasing error of the filter bank is minimized subject to a specification on the maximum amplitude distortion of the filter bank as well as specifications on both the maximum passband ripple magnitude and the maximum stopband ripple magnitude of the prototype filter. This filter bank design problem is actually a functional inequality constrained optimization problem. Our recently developed integration approach is employed for solving the problem. Computer numerical simulation results show that our proposed design method outperforms existing design methods.

Additional Information:This paper proposes an optimal cosine modulated nonuniform linear phase finite impulse response (FIR) filter bank design. The frequency responses of all the analysis filters and the synthesis filters of the filter bank are derived based on both stretching and shifting the frequency response of the prototype filter. The total aliasing error of the filter bank is minimized subject to a specification on the maximum amplitude distortion of the filter bank as well as specifications on both the maximum passband ripple magnitude and the maximum stopband ripple magnitude of the prototype filter. This filter bank design problem is actually a functional inequality constrained optimization problem. Our recently developed integration approach is employed for solving the problem. Computer numerical simulation results show that our proposed design method outperforms existing design methods.
Keywords:Optimal cosine modulated nonuniform linear, FIR filter bank design via stretching and shifting frequency, prototype filter, frequency response of the prototype filter
Subjects:H Engineering > H600 Electronic and Electrical Engineering
Divisions:College of Science > School of Engineering
ID Code:2717
Deposited On:23 Jun 2010 20:54

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