Compressive sensing/sampling (CS) has been one of the most active research in signal and image processing since it was proposed. The importance of CS is that it provides a high performance sampling theory for sparse signals or signals with sparse representation. CS has shown outstanding performances in many applications. In this paper we discuss two potential applications of CS in radio astronomy: image deconvolution and Faraday rotation measure synthesis. Both theoretical analysis and experimental results show that CS will bring radio astronomy to a brand new stage.
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