Rate Distortion Performance Analysis of Compressive Sensing

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 distortion. Besides, we specify both uniform and non-uniform quantization for CS, and get the corresponding rate distortion functions in these two cases. Then, we compare their performance and analyze the results. In addition, we get the rate distortion function R(D) in the case of combining channel coding with CS, as channel coding process can make our final recovery of the original signal more accurate.