Generalized atom and dictionary design and compressive sensing for vocal signal expansion

Compressive sensing is to apply the sparsity of a signal in some domain to compress a signal. Its performance highly depends on the dictionary and the atoms one applies in the matching pursuit or the basis pursuit processes. In this paper, we generalize the atoms used in the dictionary by converting the phase into the higher order form, using Hermite-Gaussian functions instead of Gaussian functions, and applying harmonic combination. We call...