CS: Update previous posts, Actual reach stats, Practical band-limited extrapolation relying on Slepian series and compressive sampling

Yonina Eldar let me know that a video where she explains the The Technion Modulated Wideband Converter can be found here. Both this hardware and the bio based Compressed Genotyping and Compressed Sequencing have been adding to the Compressive Hardware page.

With regards to the statistics of Nuit Blanche, there are currently 531 people using feedreaders to access posts of this site. According to Feedburner, 47% are "reach" so we have about on average 250 people actually reading the entries. We also have 201 people receiving every posts by e-mail. Finally, about 300 people come to site daily through search engines. The most surprising statistics is that the Big Picture in Compressive Sensing reaches about 120 people daily while the Compressive Sensing Hardware page reaches about 10 to 20 people daily even though neither of these pages are updated daily.

Finally, here is a new paper: Practical band-limited extrapolation relying on Slepian series and compressive sampling by Laurent Gosse. The abstract reads:

We consider a rather simple algorithm to address the fascinating field of numerical extrapolation of (analytic) band-limited functions. It relies on two main elements: namely, the lower frequencies are treated by projecting the known part of the signal to be extended onto the space generated by ``Prolate Spheroidal Wave Functions" (PSWF, as originally proposed by Slepian), whereas the higher ones can be handled by the recent so--called ``Compressive Sampling" (CS, proposed by Cand\`es) algorithms which are independent of the largeness of the bandwidth. Slepian functions are recalled and their numerical computation is explained in full detail whereas Compressive Sampling techniques are summarized together with a recent iterative algorithm which has been proved to work efficiently on so--called ``compressible signals" which appear to match rather well the class of smooth bandlimited functions. Numerical results are displayed for both numerical techniques and the accuracy of the process consisting in putting them altogether is studied for several test-signals.