A Compressive Sensing Based Secure Data Transmission Scheme

In compressive sensing theory, a signal can be reconstructed from a small set of non-adaptive, linear measurements if the signal can be represented as a sparse object in some orthonormal basis. We proposed a compressive sensing based secure data transmission scheme in this paper. Only simple linear operations are required in the encryption end and complex computations are transferred to the resourcerich decryption end. The detailed encryption and decryption processes are described in detail. We proved the proposed secure data transmission scheme can achieve perfect secrecy under some conditions. Signal encryption and decryption experiments are also provided to verify the effectiveness of the proposed scheme.