Abstract According to the sparse signals feature that power is included in only several parts of frequency bands,a model of periodic non-uniform sampling and reconstruction is built in order to effectively sample sparse signals.The sampling and reconstruction of sparse signals are transformed into vector operations by using theory of union of subspaces.Locations of non-zero row vector are identified with the aid of the mode of the multiple measurement vectors,and the complete reconstruction of sparse signal is achieved in virtue of interpolations,which can insure that the signals could be applied in digital system.Finally,simulation and experimentation demonstrated that the model can effectively achieve acquisition and reconstruction of sparse signals.
LUO Jun-yi,TIAN Shu-lin,WANG Zhi-gang, et al. Study on Periodic Non-uniform Sampling of Sparse Signals[J]. Acta Metrologica Sinica, 2012, 33(1): 52-56.
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2012, Vol. 33 
