Universal Minimax Discrete Denoising under Channel Uncertainty

dc.creatorGemelos, George
dc.creatorSigurjonsson, Styrmir
dc.creatorWeissman, Tsachy
dc.date2005-04-13
dc.date2005-08-17
dc.date.accessioned2026-07-07T08:15:26Z
dc.date.available2026-07-07T08:15:26Z
dc.descriptionThe goal of a denoising algorithm is to recover a signal from its noise-corrupted observations. Perfect recovery is seldom possible and performance is measured under a given single-letter fidelity criterion. For discrete signals corrupted by a known discrete memoryless channel, the DUDE was recently shown to perform this task asymptotically optimally, without knowledge of the statistical properties of the source. In the present work we address the scenario where, in addition to the lack of knowledge of the source statistics, there is also uncertainty in the channel characteristics. We propose a family of discrete denoisers and establish their asymptotic optimality under a minimax performance criterion which we argue is appropriate for this setting. As we show elsewhere, the proposed schemes can also be implemented computationally efficiently.
dc.descriptionSubmitted to IEEE Transactions of Information Theory
dc.identifierhttps://arxiv.org/abs/cs/0504060
dc.identifierhttp://arxiv.org/abs/cs/0504060
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/133445
dc.subjectInformation Theory
dc.titleUniversal Minimax Discrete Denoising under Channel Uncertainty
dc.typetext

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