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In this paper, we analyzed the performance of noisy compressive sensing theoretically, and derived both the lower bound and upper bound of the probability of error for compressive sensing, with the assumption that both the original information and the noise follow Gaussian distribution. Both the lower bound and upper bound of the probability of error for the general case without special requirement...
Compressive sensing provides a new approach to data acquisition and storage. In this paper, we derive some information theory bounds on the performance of noisy compressive sensing to calculate the data rate with particular distortion, which has significant meaning in data storage technique. We analyze the rate distortion performance of noisy compressive sensing under Mean Squared distortion and Hamming...
Although there are some work focusing on rate distortion analysis of compressive sensing (CS), some studied the distortion performance at a particular data rate and some only show the related figures without an expression. Different from all the others, in this paper, we study the performance of rate distortion function R(D) of CS with a distortion D and give a clear relationship between rate and...
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