Generalized Sampling and Infinite Dimensional Compressed Sensing

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Event details

Date 22.06.2011
Hour 15:15
Speaker Prof. Anders Christian Hansen, University of Cambridge
Location
Category Conferences - Seminars
I will discuss a generalization of the Shannon Sampling Theorem that allows for reconstruction of signals in arbitrary bases. Not only can one reconstruct in arbitrary bases, but this can also be done in a completely stable way. When extra information is available, such as sparsity or compressibility of the signal in a particular bases, one may reduce the number of samples dramatically. This is done via Compressed Sensing techniques, however, the usual finite-dimensional framework is not sufficient. To overcome this obstacle I'll introduce the concept of Infinite Dimensional Compressed Sensing. Prof. Hansen's homepage