Statistical physics-based reconstruction in compressed sensing

Details Statistical physics-based reconstruction in compressed sensing Statistical physics-based reconstruction in compressed sensing

2011-09-20

arxiv.org/abs/1109.4424v3

Physics

Condensed Matter

Statistical Mechanics

20 pages, 8 figures, 3 tables. Related codes and data are available at http://aspics.krzakala.org

Scientific paper

Compressed sensing is triggering a major evolution in signal acquisition. It consists in sampling a sparse signal at low rate and later using computational power for its exact reconstruction, so that only the necessary information is measured. Currently used reconstruction techniques are, however, limited to acquisition rates larger than the true density of the signal. We design a new procedure which is able to reconstruct exactly the signal with a number of measurements that approaches the theoretical limit in the limit of large systems. It is based on the joint use of three essential ingredients: a probabilistic approach to signal reconstruction, a message-passing algorithm adapted from belief propagation, and a careful design of the measurement matrix inspired from the theory of crystal nucleation. The performance of this new algorithm is analyzed by statistical physics methods. The obtained improvement is confirmed by numerical studies of several cases.

Affiliated with

Also associated with

No associations

Rating

Statistical physics-based reconstruction in compressed sensing does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Statistical physics-based reconstruction in compressed sensing, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Statistical physics-based reconstruction in compressed sensing will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-255864