Optimal duration-bandwidth localized antisymmetric biorthogonal wavelet filters
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文摘
A design of a new class of even-length antisymmetric biorthogonal filer banks is proposed. The optimality criterion chosen is joint duration-bandwidth localization (JDBL) of the filters. The method presents a direct time-domain approach that does not involve any integrations, iterations and parameterization. The closed form expressions for the objective function and constraints are provided. The method provides globally optimal filters that are obtained as eigenvectors of a positive definite matrix. The performance of the designed filter banks has been evaluated in image compression and signal denoising applications.

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