Method and Apparatus for Distributed Compressed Sensing

摘要

A method for approximating a plurality of digital signals or images using compressed sensing. In a scheme where a common component x_c of said plurality of digital signals or images an innovative component x_i 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 y_c, where y_c comprises a vector with only n_i entries, where n_i is less than m, making a measurement y_i for each of said correlated digital signals, where y_i comprises a vector with only n_i entries, where n_i is less than m, and from each said innovation components y_i, producing an approximate reconstruction of each m-vector x_i using said common component y_c and said innovative component y_i.