Translations:Canonical representation/1/en

What is the canonical representation of a causal wavelet? Let $w_{M}$ be the minimum-phase wavelet with the same amplitude spectrum as that of the causal wavelet w. Then $w_{M}$ is called the minimum-phase counterpart of w. The canonical representation' states that any causal wavelet w can be represented as the convolution of its minimum-phase counterpart $w_{M}$ and a causal all-pass wavelet p; that is,