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This paper presents and discusses an alternative notion of sparsity. This notion derives from a theoretical result in binary hypothesis testing and slightly differs from the standard notion of sparsity introduced by Donoho and Johnstone. As an application of this alternative notion of sparsity and as an extension of the detection threshold recently proposed, level-dependent detection thresholds are...
This paper addresses the limit distribution of wavelet packet coefficients obtained by decomposing band-limited random processes. When the wavelet decomposition filters satisfy a certain property of regularity, strictly stationary band-limited random processes yield wavelet packet coefficients that are asymptotically uncorrelated and Gaussian distributed when the resolution level increases. For any...
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