What does it mean for a signal to be sparse? Is that the same thing as sparse matrix in Matlab?

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Are these the same thing? Does a sparse signal contain a lot of zeros with some portion being the relevant part?

Answers (1)

Wayne King
Wayne King on 11 Mar 2013
Yes, that is essentially the definition. You should keep in mind that a signal may be sparse in some domain and not the other. For example, a sine wave is sparse in the Fourier domain, because a real-valued sine wave has only two nonzero coefficients in the Fourier domain.
Many signals are sparse in the wavelet domain.

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