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SUMMARY:Generalized sampling and infinite-dimensional compressed sensing -
  Anders Hansen (University of Cambridge)
DTSTART:20110324T160000Z
DTEND:20110324T170000Z
UID:TALK29563@talks.cam.ac.uk
CONTACT:6743
DESCRIPTION: will discuss a generalization of the Shannon Sampling Theorem
 \nthat allows for reconstruction of signals in arbitrary bases. Not only c
 an one reconstruct in arbitrary bases\, but this can also be done in a\nco
 mpletely stable way. When extra information is available\, such as\nsparsi
 ty or compressibility of the signal in a particular bases\, one may reduce
  the number of samples dramatically. This is done via Compressed Sensing t
 echniques\, however\, the usual finite-dimensional framework is not suffic
 ient. To overcome this obstacle I'll introduce the concept of Infinite-Dim
 ensional Compressed Sensing.
LOCATION:Seminar Room 1\, Isaac Newton Institute for Mathematical Sciences
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