Novel iterative and adaptive compressed sensing

In this paper, we propose two compressed sensing methods, signed CASS and iterative signed CASS. The effect of signs of entries in a sparse signal could lead to lower accuracy rate of CASS in low SNR region. Thus, signed CASS is proposed to take the signed of a sparse signal into account. The performance of signed CASS is better than CASS in low SNR region and comparable in high SNR region in terms of error rate. To have even better quality, the iterative signed CASS is proposed as well. This approach not only have better performance in all SNR region but have even better PSNR performance, which is at least 1 dB better than CASS.

[1]  Gonzalo Seco-Granados,et al.  Amplify-and-Forward Compressed Sensing as a Physical-Layer Secrecy Solution in Wireless Sensor Networks , 2014, IEEE Transactions on Information Forensics and Security.

[2]  Matthew Malloy,et al.  Near-Optimal Adaptive Compressed Sensing , 2012, IEEE Transactions on Information Theory.

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

[4]  Yongming Huang,et al.  Pilot Design Schemes for Sparse Channel Estimation in OFDM Systems , 2015, IEEE Transactions on Vehicular Technology.

[5]  Venkatesh Saligrama,et al.  Information Theoretic Bounds for Compressed Sensing , 2008, IEEE Transactions on Information Theory.