Method and apparatus for distributed compressed sensing

Abstract

A method for approximating a plurality of digital signals or images using compressed sensing. In a scheme where a common component xc of said plurality of digital signals or images an innovative component xi of each of said plurality of digital signals each are represented as a vector with m entries, the method comprises the steps of making a measurement yc, where yc comprises a vector with only ni entries, where ni is less than m, making a measurement yi for each of said correlated digital signals, where yi comprises a vector with only ni entries, where ni is less than m, and from each said innovation components yi, producing an approximate reconstruction of each m-vector xi using said common component yc and said innovative component yi.

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Baraniuk, Richard G., Baron, Dror Z., Duarte, Marco F., Sarvotham, Shriram, Wakin, Michael B. and Davenport, Mark A., "Method and apparatus for distributed compressed sensing." Patent US7511643B2. issued 2009-03-31. Retrieved from https://hdl.handle.net/1911/79987.

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