Wednesday, 29 April 2015

signal analysis - Random sampling vs uniform sampling


In this paper of Lustig, he speaks about a something which appears unintuitive: sampling at random may exhibit better performance than sampling uniformly. I tried to understand this starting from page 15 of these slides, but I can't really make sense of anything.


Why, if we take random permutation of frequency coefficients, do we get a better reconstruction in terms of signal similarity? Why does this give better reconstruction, and what's the intuition behind the phenomenon?




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