Discrete Uncertainty Principles and Sparse Signal Processing期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Discrete Uncertainty Principles and Sparse Signal Processing

Authors:	Afonso?S.?Bandeira,Megan?E.?Lewis,Dustin?G.?Mixon author-information" > author-information__contact u-icon-before" > mailto:dustin.mixon@gmail.com" title=" dustin.mixon@gmail.com" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author

Affiliation:	1.Department of Mathematics, Courant Institute of Mathematical Sciences,New York University,New York,USA;2.Detachment?5, Air Force Operational Test and Evaluation Center,Edwards AFB,USA;3.Department of Mathematics and Statistics,Air Force Institute of Technology,Wright-Patterson AFB,USA

Abstract:	We develop new discrete uncertainty principles in terms of numerical sparsity, which is a continuous proxy for the 0-norm. Unlike traditional sparsity, the continuity of numerical sparsity naturally accommodates functions which are nearly sparse. After studying these principles and the functions that achieve exact or near equality in them, we identify certain consequences in a number of sparse signal processing applications.

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