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Universal discrete denoising under c...

Gemelos, George M.

Universal discrete denoising under channel uncertainty.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Universal discrete denoising under channel uncertainty.
作者:	Gemelos, George M.
面頁冊數:	107 p.
附註:	Adviser: Thomas M. Cover.
附註:	Source: Dissertation Abstracts International, Volume: 67-05, Section: B, page: 2738.
Contained By:	Dissertation Abstracts International67-05B.
標題:	Engineering, Electronics and Electrical.
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3219278
ISBN:	9780542706790

Universal discrete denoising under channel uncertainty.
Gemelos, George M.

Universal discrete denoising under channel uncertainty. - 107 p.

Adviser: Thomas M. Cover.

Thesis (Ph.D.)--Stanford University, 2006.

The goal of a denoising algorithm is to recover a signal from its noise-corrupted observations. Perfect recovery is seldom possible; therefore we measure performance under a given fidelity criterion. For discrete signals corrupted by a known discrete memoryless channel, the Discrete Universal DEnoiser (DUDE) algorithm was recently shown to perform this task essentially optimally, without knowledge of the statistical properties of the source.

ISBN: 9780542706790Subjects--Topical Terms:

226981
Engineering, Electronics and Electrical.

Universal discrete denoising under channel uncertainty.
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502 $a Thesis (Ph.D.)--Stanford University, 2006.
520 # $a The goal of a denoising algorithm is to recover a signal from its noise-corrupted observations. Perfect recovery is seldom possible; therefore we measure performance under a given fidelity criterion. For discrete signals corrupted by a known discrete memoryless channel, the Discrete Universal DEnoiser (DUDE) algorithm was recently shown to perform this task essentially optimally, without knowledge of the statistical properties of the source.
520 # $a This thesis addresses the scenario where, in addition to the lack of knowledge of the source distribution, there is also uncertainty in the channel characteristics. We propose a discrete denoiser and establish its essential optimality under a worst case performance criterion, which we argue is appropriate for this setting. We also address the implementation and complexity of the proposed family of denoisers, establishing their practicality. In particular, we show that for many natural families of channels, the denoising rule can be mapped into a convex optimization problem, which can be solved efficiently. Finally, we present empirical results suggesting the potential of these schemes to do well in practice.
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