Variable-delay dyadic wavelets

Signal processing based on the wavelet transform is a new tool for signal approximation. It finds applications in signal compression, adaptation, classification and enhancement. The overall delay in a conventional wavelet system is fixed since it depends on the symmetry point of a linear-phase halfband filter. In this paper, we introduce the theory and design of a new filter bank and wavelet system where the overall delay can be any odd integer. The resulting wavelet is biorthogonal. This new wavelet is crucial in applications where the delay time is important.