Advances in Theory of Compressive Sensing

Compressive sensing captures and represents compressible signals at a sampling rate significantly below the Nyquist rate.It is an emerging theory of signal acquirement.The theoretical framework was reviewed as well as and the three key points of compressive sensing, including sparse representation,measurement matrix construction and signal reconstruction.The latest development of the signal sparse representation,design of measurement matrix and reconstruction algorithm was also introduced with some problems in compressive sensing theory analysed.