The discrete-time biorthogonal wavelet transform

We present a methodology to analyze functions in l/sup 2/ in terms of self-similar discrete-time biorthogonal functions at different resolution levels. We call these functions discrete-time biorthogonal wavelets, and they verify in l/sup 2/ the same properties that biorthogonal wavelets do in L/sup 2/, including self-similarity. Discrete multiresolution analysis is also defined.