Low complexity distributed video coding using compressed sensing

Compressive sensing (CS) is an efficient method to reconstruct sparse images with under-sampled data. In this method sensing and coding steps integrated to a one-step, low-complexity measurement acquisition system. In this paper, we use a Non-linear Conjugate Gradient (NLCG) algorithm to significantly increase the quality of reconstructed frames of video sequences. Our proposed framework divides sequence of a video to several groups of pictures (GOPs), where each GOP consisting of one key frame followed by two non-key frames. CS is then applied on each key and non-key frame with different sampling rates. For reconstruction final frames, NLCG algorithm was performed on each key frame with acceptable fidelity. To achieve desired quality on low-rate sampled non-key frames, NLCG modified using side information (SI) obtained from last two successive reconstructed key frames. Based on some performance measures such as SNR, PSNR, SSIM and RSE, our implementation results indicate that employing NLCG with Gaussian sampling matrix outperforms other methods in quality measures.

[1]  Samuel Cheng,et al.  Compressive video sampling , 2008, 2008 16th European Signal Processing Conference.

[2]  Trac D. Tran,et al.  Distributed Compressed Video Sensing , 2009, 2009 43rd Annual Conference on Information Sciences and Systems.

[3]  Balas K. Natarajan,et al.  Sparse Approximate Solutions to Linear Systems , 1995, SIAM J. Comput..

[4]  Ting Sun,et al.  Single-pixel imaging via compressive sampling , 2008, IEEE Signal Process. Mag..

[5]  D. Donoho,et al.  Sparse MRI: The application of compressed sensing for rapid MR imaging , 2007, Magnetic resonance in medicine.

[6]  D. Donoho,et al.  Basis pursuit , 1994, Proceedings of 1994 28th Asilomar Conference on Signals, Systems and Computers.

[7]  Trac D. Tran,et al.  Fast compressive imaging using scrambled block Hadamard ensemble , 2008, 2008 16th European Signal Processing Conference.

[8]  R.G. Baraniuk,et al.  Compressive Sensing [Lecture Notes] , 2007, IEEE Signal Processing Magazine.

[9]  Chun-Shien Lu,et al.  Distributed compressive video sensing , 2009, 2009 IEEE International Conference on Acoustics, Speech and Signal Processing.

[10]  P. Brandimarte Finite Difference Methods for Partial Differential Equations , 2006 .

[11]  David L Donoho,et al.  Compressed sensing , 2006, IEEE Transactions on Information Theory.

[12]  L. Rudin,et al.  Nonlinear total variation based noise removal algorithms , 1992 .

[13]  C.E. Shannon,et al.  Communication in the Presence of Noise , 1949, Proceedings of the IRE.

[14]  W. Wasow,et al.  Finite-Difference Methods for Partial Differential Equations , 1961 .

[15]  A. Wyner,et al.  Source coding for multiple descriptions , 1980, The Bell System Technical Journal.

[16]  Mário A. T. Figueiredo,et al.  Gradient Projection for Sparse Reconstruction: Application to Compressed Sensing and Other Inverse Problems , 2007, IEEE Journal of Selected Topics in Signal Processing.

[17]  Emmanuel J. Candès,et al.  Near-Optimal Signal Recovery From Random Projections: Universal Encoding Strategies? , 2004, IEEE Transactions on Information Theory.