What are some recommended resources for an introduction to compressed sensing?

[Physics Monkey]

Not sure if this is best subforum for this ... but what I'm looking for is some recommendations for books/articles containing a nice introduction to compressed sensing.

I'm not a mathematician although I would like to think I'm relatively mathematically sophisticated. I appreciate proofs in the right places, but what I really want is something with a lot of motivation/intuition along with the formal stuff. But I also don't want something too pedestrian. I have plenty of time so I'm open to background stuff as well.

Any suggestions?

 

[atyy]

http://keck.ucsf.edu/~surya/DynCompSense.pdf and http://keck.ucsf.edu/~surya/DynCompSenseSupp.pdf point out that there's some application of compressed sensing to neurobiology - they've got a bunch of references. I found [8] by Candes and Watkins pretty readable: An Introduction To Compressive Sampling

Terry Tao has notes, a lecture, and links to Compressive Sensing Resources.