基于信号重要子空间匹配追踪的擦除补偿方法

Compensation of Signal with Erasures based on Its Significant Subspace Match Pursuit

近年来的研究表明,自然界中能够为人们所理解的信号都具有稀疏的性质。利用信号的稀疏性,提出了一种基于被擦除信号重要子空间匹配追踪的擦除补偿方法。首先,在给定错误率的基础上定义了信号稀疏性的度量方法。然后,依据被擦除信号的有效部分基于正交匹配追踪方法来寻找信号的重要子空间。最后,基于迭代方程在信号的重要子空间中获得信号的近似表示,并将其作为被擦除信号的补偿信号。模拟实验结果显示了所提出方法补偿被擦除信号的有效性。

Recent years, the research results show that all the signals in nature represent the sparsity. A novel method to the compensation of a signal with erasures is proposed in this paper, by considering the sparsity of the signal of interest. First, a measurement is defined in or- der to describe the sparsity of a signal under a given error. Second, In terms of the available part in the erased signal, the significant subspace of the erased signal is found by using the orthogonal match pursuit. Finally, the compensation is obtained by approximating the erased signal in its significant subspace based on the iterating equation. The simulation experimental results show that the proposed method is well suit- able to the compensation for erasures.