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Design of signal-adapted biorthogonal filter banks

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2 Author(s)
Wu-Sheng Lu ; Dept. of Electr. & Comput. Eng., Victoria Univ., BC, Canada ; Antoniou, A.

A method for the design of signal-adapted, M-channel biorthogonal filter banks of finite length is presented. The design problem is formulated as a constrained optimization problem and is solved by converting it into an iterative line-search problem through a first-order parameterization of the perfect reconstruction (PR) constraint. It is also shown for the two-channel case that if the analysis and synthesis lowpass filters are of different lengths, a refinement of the algorithm is possible that leads to a solution in a very small neighborhood of a local minimizer, which satisfies the PR constraint precisely

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Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on  (Volume:48 ,  Issue: 1 )