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In the recent years, many researchers have used the theory of Compressed Sensing or Compressive Sampling (CS) for their field of study. Candes and his colleagues in and Donoho in proposed this theory and it has been served in some applications such as image processing, radar, signal detection and other applications Achieving the perfect secrecy to have secret communication is a challenging problem in the field of information theory. Information-theoretic secrecy intends to ensure that an eavesdropper who listens to the wireless transmission of a message can only collect an arbitrarily small number of information bits about this message and this fact was introduced by Shannon in his fundamental paper.
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