| 摘要 |
A method for approximating a plurality of digital signals or images using compressed sensing. In a scheme where a common component x<SUB>c </SUB>of said plurality of digital signals or images an innovative component x<SUB>i </SUB>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<SUB>c</SUB>, where y<SUB>c </SUB>comprises a vector with only n<SUB>i </SUB>entries, where n<SUB>i </SUB>is less than m, making a measurement y<SUB>i </SUB>for each of said correlated digital signals, where y<SUB>i </SUB>comprises a vector with only n<SUB>i </SUB>entries, where n<SUB>i </SUB>is less than m, and from each said innovation components y<SUB>i</SUB>, producing an approximate reconstruction of each m-vector x<SUB>i </SUB>using said common component y<SUB>c </SUB>and said innovative component y<SUB>i</SUB>.
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