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为了把压缩传感技术应用到变换域非稀疏信号中,提出了一种能够改善信号非稀疏表达稀疏性的新方法。该方法采用可移动窗口函数把信号在变换域中的非稀疏表达截取成多个窗截表达,只要控制每个窗口函数宽度远小于信号的长度,则每个窗截表达具有较好的稀疏性。通过稀疏的窗截表达实现对非稀疏表达的压缩传感。结合高斯和矩形窗口函数给出了详细的理论分析,无噪和加噪信号的实验结果证明了该方法的有效性。
In order to apply compressive sensing technique to non-sparse signals in transform domain, a new method to improve the sparseness of signal non-sparse representation is proposed. In this method, a non-sparse representation of a signal in a transform domain is truncated using a moveable window function. As long as the width of each window function is controlled to be much smaller than the signal length, each window cut has better sparsity . Compact sensing of non-sparse representation is achieved by sparse window truncation. Combined with Gaussian and rectangular window functions, a detailed theoretical analysis is given. The experimental results of no-noise and noisy signals demonstrate the effectiveness of the proposed method.