On estimating the loss of signal-to-noise ratio in compressive sensing based systems

The up-to-date researches focused on compressive sensing (CS) have indicated that a CS-based system could be very sensitive to signal noise which contaminates the input signal prior to measurement. In this paper, it is demonstrated that the SNR loss of the recovered signal can be estimated by the subsampling rate. The conditions based on which the proposed estimator is applied are theoretical analyzed and numerically verified.

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