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A new class of biorthogonal wavelet filters and its design is presented in this work. The filters are even in length and are called Even-length Bernstein Filter Bank (EBFB). The new filter class is a modification of the Halfband Pair Filter Bank (HPFB, which only yields odd length filters) and is constructed using the Parametric Bernstein Polynomial. Perfect reconstruction is inherent in the structure of the filters, and the desired number of vanishing moments can be easily achieved by setting the appropriate parameters of the Bernstein Polynomial to zero. The design of the nonzero parameters is achieved through a least squares method that is noniterative. The design technique allows filters with different characteristics to be designed with ease.
Date of Publication: March 2005