On the incoherence of noiselet and Haar bases

Abstract : Noiselets are a family of functions completely uncompressible using Haar wavelet analysis. The resultant perfect incoherence to the Haar transform, coupled with the existence of a fast transform has resulted in their interest and use as a sampling basis in compressive sampling. We derive a recursive construction of noiselet matrices and give a short matrix-based proof of the incoherence.
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Laurent Fesquet and Bruno Torrésani. SAMPTA'09, May 2009, Marseille, France. pp.General session, 2009
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Tomas Tuma, Paul Hurley. On the incoherence of noiselet and Haar bases. Laurent Fesquet and Bruno Torrésani. SAMPTA'09, May 2009, Marseille, France. pp.General session, 2009. 〈hal-00453288〉

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