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SUMMARY:Generalized sampling and infinite-dimensional compressed sensing -
  Hansen\, A (Humboldt)
DTSTART:20110324T160000Z
DTEND:20110324T170000Z
UID:TALK30380@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:We will discuss a generalization of the Shannon Sampling Theor
 em 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 co
 mpletely stable way. When extra information is available\, such as sparsit
 y or compressibility of the signal in a particular bases\, one may reduce 
 the number of samples dramatically. This is done via Compressed Sensing te
 chniques\, however\, the usual finite-dimensional framework is not suffici
 ent. To overcome this obstacle I'll introduce the concept of Infinite-Dime
 nsional Compressed Sensing.\n
LOCATION:Seminar Room 1\, Newton Institute
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