The Minimum Support Criterion for Blind Signal Extraction: A Limiting Case of the Strengthened Young's Inequality
The Minimum Support Criterion for Blind Signal Extraction: A Limiting Case of the Strengthened Young's Inequality
复制标题
盲信号提取的最低支持准则：强化杨不等式的一个极限情况
DOI：
10.1007/978-3-540-30110-3_8
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发表时间：
2004
影响因子：
5.4
通讯作者：
Iván Durán
中科院分区：
文献类型：
--
作者：
S. Cruces;Iván Durán
在本文中，我们解决的问题，盲提取的一个子集的“有趣的”独立信号的线性混合。我们提出了一种新的准则提取的源的密度有最小的支持度。通过扩展Renyi熵的定义以包括零阶情况，该准则可以被视为更一般的熵最小化原理的一部分。众所周知，Renyi熵提供了全局传输系统上的∞范数约束下的独立同分布源的盲提取的对比函数。所提出的方法给出了更清晰的下界的零阶Renyi熵的情况下，与现有的结果相反，它允许提取，即使当源是不相同的分布。另一个有趣的特性是，它对观测值中某些类型的加性噪声和离群值的存在具有鲁棒性。
In this paper, we address the problem of the blind extraction of a subset of “interesting” independent signals from a linear mixture. We present a novel criterion for the extraction of the sources whose density has the minimum support measure. By extending the definition of the Renyi’s entropies to include the zero-order case, this criterion can be regarded as part of a more general entropy minimization principle. It is known that Renyi’s entropies provide contrast functions for the blind extraction of independent and identically distributed sources under an ∞-norm constraint on the global transfer system. The proposed approach gives sharper lower-bounds for the zero-order Renyi’s entropy case and, contrary to the existing results, it allows the extraction even when the sources are non identically distributed. Another interesting feature is that it is robust to the presence of certain kinds of additive noise and outliers in the observations.