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SUMMARY:Sampling schemes and the Superesolution Phenomenon in Compressed s
 ensing - Alex Jones\, (Cambridge Centre for Analysis)
DTSTART:20121121T160000Z
DTEND:20121121T170000Z
UID:TALK40674@talks.cam.ac.uk
CONTACT:Kevin Crooks
DESCRIPTION:In this talk we will introduce the basics of compressed sensin
 g through the model examples of NMR and MRI\, and discuss the various meth
 ods and tricks that can be used to improve reconstruction\, depending on t
 he situation. After this introduction\, we'll focus on the phenomenon of S
 uperesolution\, where the quality of reconstruction improves with scale ke
 eping the sampling rate the same. An answer to this might be the principle
 s of asymptotic sparsity\, which means there is sparsity in the basis coef
 ficients as we move along the ordering\, and asymptotic incoherence\, wher
 e coefficients of the sensing matrix decay. We'll then discuss some result
 s on asymptotic incoherence in the case of using the Fourier basis with wa
 velets and look at its consequences in finding a good sampling pattern.\n\
 nThe work to be presented was done jointly with Dr Anders Hansen at DAMTP 
 and Dr Daniel Holland at the Chemical Engineering Department.
LOCATION:MR14\, Centre for Mathematical Sciences
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