Sparse recovery based on transformation basis of FTT and DWT

作者:Chen Shanxiong*; He Zhongshi; Xiong Hailing; Yu Xianping; Liu Xiaoyan
来源:International Journal of Advancements in Computing Technology, 2012, 4(18): 407-415.
DOI:10.4156/ijact.vol4.issue 18.48

摘要

When the signal in a transform domain is sparse or compressible, it could be projected to low-dimensional vector utilizing measurement matrix. This projection maintains the information required by reconstructing signal. By research about the basic theories for compressed sensing, this article adopted FFT and DWT as the transform matrix Φ respectively, the random matrix as the sampling ψ, then analyzed the coherence among them in addition to the sparsity of the sampling signals, explored further the ability of the two methods for recovering signals.

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