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The performance of wavelet transform based image compressed sensing coding algorithms severely rely on the level of wavelet transform. To this end, this paper investigated the combination of mutil-level wavelet full sub-band in compressed sensing framework. Firstly, we constructed a full sub-band coefficient sparse vector of mutil-level discrete wavelet transform. Secondly, we designed a weight matrix to improve measurement matrix. Finally, sparsity vector was processed by compressed sensing to get the measured value. Compared with the exiting algorithms, the experimental results of the proposed algorithm show that the PSNRs of reconstructed images is improve up to 1~2dB under the same objective quality. Keywords—image coding; wavelet transform; compressed sensing; full sub-band coefficient sparsity vector

A Novel Multi-level Wavelet Image Coding Algorithm by Full Sub-band Compressed Sensing