# Translations:Canonical representation/1/en

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What is the canonical representation of a causal wavelet? Let be the minimum-phase wavelet with the same amplitude spectrum as that of the causal wavelet *w*. Then 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 and a causal all-pass wavelet *p*; that is,*