Image coding in compressed sensing based on noise shaping

In this paper, we propose a new image coding based on compressed sensing scheme, called image coding in compressed sensing based on noise shaping. The 2D discrete wavelet transform (DWT) is utilized for source images to produce wavelet coefficients, and then using noise shaping(NS) algorithm to sparse represent of wavelet coefficients. The low frequency coefficients store and transfer directly, as for high frequency coefficients is sampled random projection and transfer. Finally, at the receiver reconstitute image by orthogonal matching pursuit (OMP) algorithm for the high and low frequency information. Experimental result shows that the put forward method in our article can serve as a good solution for the efficient and improve the effect of the compressed sensing image coding.