O. N. Granichin, D. V. Pavlenko, “Randomization of data acquisition and <nobr>$\ell_1$</nobr>-optimization (recognition with compression)”, Avtomat. i Telemekh., 2010, Issue 11,Pages <nobr>3

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Randomization of data acquisition and $\ell_1$-optimization (recognition with compression)

O. N. Granichin, D. V. Pavlenko

St. Petersburg State University, St. Petersburg, Russia

Abstract: A new paradigm for processing signals with sparse representation in some basis is actively developed for some time past. It relies largely on the ideas of measurement randomization and $\ell_1$-optimization. The recent methods of acquisition and representation of the compressed data were christened compressive sensing.

Presented by the member of Editorial Board: B. T. Polyak

Received: 16.02.2010