Dictionary optimisation for representing and sensing sparse signals

Xiaochen Zhao
Compressed sensing takes advantage that most of the natural signals can be sparsely represented via linear transformations, therefore it is possible to have accurate reconstruction from sub-Nyquist samplings. The properties of the measurement matrix directly affect the relation between the sampling rate and the distortion of the reconstructions. People have been trying to either design measurement matrices from the signal statistics, or train the matrices from large amount of similar signals. Hence the relevant techniques...
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