A new class of even length wavelet filters

A new class of biorthogonal wavelet filters and its design is presented in this work. The filters are even in length and have linear phase response. 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 non-zero parameters is achieved through a least squares method which is non-iterative. The design techniques allows filters with different characteristics to be designed with ease.