Discrete Uncertainty Principles and Sparse Signal Processing
Discrete Uncertainty Principles and Sparse Signal Processing
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离散不确定性原理与稀疏信号处理
DOI：
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发表时间：
2015
影响因子：
1.2
通讯作者：
D. Mixon
中科院分区：
文献类型：
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作者：
A. Bandeira;Megan E. Lewis;D. Mixon
我们开发了新的离散不确定性原则的数值稀疏性，这是一个连续的代理0-范数。与传统的稀疏性不同，数值稀疏性的连续性自然地容纳了近似稀疏的函数。在研究了这些原则和实现精确或接近相等的功能之后，我们确定了一些稀疏信号处理应用中的某些后果。
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.