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引用次数: 3
摘要
凸集投影(Projection on Convex Sets, POCS)是一种利用某一域的信息获取其他域信息的迭代方法，作为一种后处理方案，在图像恢复问题和基于块的DCT压缩标准中得到了广泛的应用。本文研究了一种用于信号重构和稀疏信号压缩的迭代信号重构方法。该方法与POCS方法类似。从已知的部分时域样本和部分频域系数中，迭代地将信号投影到已知的采样子空间和已知的系数子空间上。最后，采用该迭代重建方案可以较好地恢复信号。实验结果表明，该方法能够正确有效地重建底层信号。
A new iterative reconstruction scheme for signal reconstruction
Projection Onto Convex Sets (POCS) is an iterative method to obtain the information from one domain using the information available in other domains, and it has been widely used in image restoration problems and block-based DCT compression standards as a post-processing scheme. In this paper, we study an iterative signal reconstruction method for signal reconstruction and sparse signal compression. This method is similar to POCS method. From known partial time-domain samples and partial frequency-domain coefficients, it iteratively projects the signal onto the known samplespsila subspaces and the known coefficientspsila subspaces. Finally the signal can recover closely by using this iterative reconstruction scheme. Some experiments show this method can correctly and effectively reconstruct the underlying signals.
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