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What Is the Advantage Having Zero Average and Sometimes Several Vanishing Moments?

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What Is the Advantage Having Zero Average and Sometimes Several Vanishing Moments?

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When the wavelet’s k + 1 moments are equal to zero ( for ) all the polynomial signals have zero wavelet coefficients. As a consequence, the details are also zero. This property ensures the suppression of signals that are polynomials of a degree lower or equal to k.

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