arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0811.0210cs.ITmath.IT
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基于数据压缩的盲信号分类新方法

Novel Blind Signal Classification Method Based on Data Compression

Xudong Ma

摘要:

提出了一种新的信号分类算法。我们考虑一个非平稳随机信号,其中样本可以分为几个不同的类,在每个类中的样本是相同的独立分布的未知概率分布。所要解决的问题是估计类的概率分布和样本对类的正确隶属度。提出了一种基于数据压缩原理的信号分类方法,即分类问题中的精确估计导致了用于数据压缩的最优信号模型。该方法将分类问题公式化为优化问题,其中所谓的{“分类增益”}被最大化。为了克服整数优化中的困难,我们提出了一种基于连续松弛的算法。本文证明了连续松弛的最优性损失是渐近消失的。仿真结果表明,该算法具有较低的计算复杂性和较好的鲁棒性。该算法可用于解决各种多媒体信号的分割、分析和模式识别问题。

英文摘要:

This paper proposes a novel algorithm for signal classification problems. We consider a non-stationary random signal, where samples can be classified into several different classes, and samples in each class are identically independently distributed with an unknown probability distribution. The problem to be solved is to estimate the probability distributions of the classes and the correct membership of the samples to the classes. We propose a signal classification method based on the data compression principle that the accurate estimation in the classification problems induces the optimal signal models for data compression. The method formulates the classification problem as an optimization problem, where a so called {"classification gain"} is maximized. In order to circumvent the difficulties in integer optimization, we propose a continuous relaxation based algorithm. It is proven in this paper that asymptotically vanishing optimality loss is incurred by the continuous relaxation. We show by simulation results that the proposed algorithm is effective, robust and has low computational complexity. The proposed algorithm can be applied to solve various multimedia signal segmentation, analysis, and pattern recognition problems.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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