Abstract
Basic wavelet packets are the building blocks of libraries of wavelet packets and are intended to provide a partition of phase space resembling that of the windowed Fourier transform. In this paper it is shown that the frequency spreading of basic wavelet packets can be controlled by using different conjugate quadrature filters on each scale and allowing the filterlength to grow. A family of exact reconstruction FIR conjugate quadrature filters constructed especially for this purpose is presented. Furthermore, an upper bound for the necessary growth of filterlengths is obtained. This determines the complexity of the discrete wavelet packet algorithm.
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