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An efficient algorithm to design perfect reconstruction regular quadrature mirror filters using weighted Lp error criteria

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2 Author(s)
Chee-Kiang Goh ; Dept. of Electr. Eng., Nat. Univ. of Singapore, Singapore ; Yong-Ching Lim

An efficient iterative algorithm is presented in this paper to design lattice-type perfect reconstruction regular quadrature mirror filters (PR-QMF) by minimizing the pth power of an appropriate error criteria, where p can be a function of ω. The filter bank design is approximated as an unconstrained weighted least squares problem with respect to the lattice coefficients. Typically, only a few iterations of our algorithm are needed to obtain an optimal solution in the weighted L p sense. An estimation of the number of canonic signed digit (CSD) terms needed to quantize the lattice coefficients yielding minimal degradation of the filter's stopband attenuation is also derived. Efficient multiplierless implementation of lattice-type regular PR-QMF banks are easily obtained using this result

Published in:

Circuits and Systems, 1998. ISCAS '98. Proceedings of the 1998 IEEE International Symposium on  (Volume:5 )

Date of Conference:

31 May-3 Jun 1998

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