Seminar series
Date
Tue, 18 Nov 2014
Time
14:00 -
14:30
Location
L5
Speaker
Andrew Thompson
Organisation
University of Oxford
It is well known that piecewise smooth signals are approximately sparse in a wavelet basis. However, other sparse representations are possible, such as the discrete gradient basis. It turns out that signals drawn from a random piecewise constant model have sparser representations in the discrete gradient basis than in Haar wavelets (with high probability). I will talk about this result and its implications, and also show some numerical experiments in which the use of the gradient basis improves compressive signal reconstruction.