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SUMMARY:Signal/Image Reconstruction from Sparse Measurements: Theory\, Alg
 orithms and Applications - Dr Pier Luigi Dragotti\, Imperial College
DTSTART:20080417T130000Z
DTEND:20080417T140000Z
UID:TALK11013@talks.cam.ac.uk
CONTACT:Taylan Cemgil
DESCRIPTION:Consider the problem of sampling signals which are not bandlim
 ited\, but still have a finite number of degrees of freedom per unit of ti
 me\, such as\, for example\, piecewise polynomial or piecewise sinusoidal 
 signals\, and call the number of degrees of freedom per unit of time the r
 ate of innovation. Classical sampling theory does not enable a perfect rec
 onstruction of such signals since they are not bandlimited. In this talk\,
  we show that many signals with finite rate of innovation can be sampled a
 nd perfectly reconstructed using a rich variety of sampling kernels and fa
 st reconstruction algorithms. The class of kernels that can be used includ
 es functions satisfying Strang-Fix conditions\, Exponential Splines\, func
 tions with rational Fourier transform and the sinc or Gaussian functions.\
 n\nRetrieval of such signals in noise is also considered. Lower bounds by 
 Cramer-Rao are given\, and an iterative algorithm due to Cadzow is shown t
 o perform close to optimal over a wide range of signal to noise ratios. Th
 is indicates the robustness of the proposed methodologies.\n\nFinally\, ap
 plications of such methods to image super-resolution and distributed video
  compression are presented.\n\n\n\nBiography\n\n\nPier Luigi Dragotti is c
 urrently a Senior Lecturer (Associate Professor) in the Electrical and Ele
 ctronic Engineering Department at Imperial College\, London. He received t
 he Laurea Degree (summa cum laude) in Electrical Engineering from the Univ
 ersity Federico II\, Naples\, Italy\, in 1997\; the Master degree in Commu
 nications Systems from the Swiss Federal Institute of Technology of Lausan
 ne (EPFL)\, Switzerland in 1998\; and PhD degree from EPFL\, Switzerland\,
  in April 2002 (thesis adviser Prof. M. Vetterli).  In 1996\, he was a vis
 iting student at Stanford University\, Stanford\, CA\, and\, from July to 
 October 2000\, he was a summer researcher in the Mathematics of Communicat
 ions Department at Bell Labs\, Lucent Technologies\, Murray Hill\, NJ. Bef
 ore joining Imperial College in November 2002\, he was a senior researcher
  at EPFL working on distributed signal processing for sensor networks for 
 the Swiss National Competence Center in Research on Mobile Information and
  Communication Systems.  Dr Dragotti is the co-organizer of the following 
 special sessions: 'Image Compression beyond Wavelets' at the Visual Commun
 ications and Image Processing conference (VCIP 2003)\, 'Sensing Reality an
 d Communicating Bits' at the IEEE International Conference of Acoustic\, S
 peech and Signal Processing (ICASSP 2006)\, 'Signal/Image Reconstruction f
 rom Sparse Measurements' at the IEEE International Conference on Image Pro
 cessing (ICIP 2006) and 'Sparsity and Sampling' at the SPIE Conference on 
 Wavelet Applications in Signal and Image Processing\,  Wavelets XII. Since
  August 2006\, Dr Dragotti has been an associate editor of the IEEE Transa
 ctions on Image Processing.\n
LOCATION:LR5\, Engineering\, Department of
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