Reliable data transmission in sensor networks using compressive sensing and real expander codes

The resource-constraints in the sensor networks make reliable data communication a challenging task. Particularly, the limited availability of battery and computing power necessitates designing computationally efficient means for providing data compression and protection against data loss. In this paper, we propose to integrate the emerging framework of compressive sensing (CS) with real expander codes (RECs), coined as CS-REC, for robust data transmission. CS works as a computationally inexpensive data compression scheme, while RECs act as an elegant application layer erasure coding scheme. The benefits provided by RECs are twofold: one, RECs require only few addition-subtraction operations over real numbers for encoding and decoding; two, they provide graceful degradation in recovery performance with increase in the number of erasures. Through elaborate simulations, we show that CS-REC can achieve the recovery performance close to the case where there is no data loss. Further, again via simulations, we demonstrate the usefulness of CS-REC for reliably transmitting image data in multimedia sensor networks.

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

[2]  A. Lubotzky,et al.  Ramanujan graphs , 2017, Comb..

[3]  E. O. Elliott Estimates of error rates for codes on burst-noise channels , 1963 .

[4]  Suku Nair,et al.  Real-Number Codes for Bault-Tolerant Matrix Operations On Processor Arrays , 1990, IEEE Trans. Computers.

[5]  Swanand Kadhe,et al.  A Class of Real Expander Codes Based on Projective- Geometrically Constructed Ramanujan Graphs , 2011 .

[6]  Gitta Kutyniok,et al.  1 . 2 Sparsity : A Reasonable Assumption ? , 2012 .

[7]  D. Spielman,et al.  Expander codes , 1996 .

[8]  A. Robert Calderbank,et al.  Construction of a Large Class of Deterministic Sensing Matrices That Satisfy a Statistical Isometry Property , 2009, IEEE Journal of Selected Topics in Signal Processing.

[9]  Emmanuel J. Candès,et al.  Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information , 2004, IEEE Transactions on Information Theory.

[10]  Georgios B. Giannakis,et al.  Complex-field coding for OFDM over fading wireless channels , 2003, IEEE Trans. Inf. Theory.

[11]  Tommaso Melodia,et al.  Resilient image sensor networks in lossy channels using compressed sensing , 2010, 2010 8th IEEE International Conference on Pervasive Computing and Communications Workshops (PERCOM Workshops).

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

[13]  Tommaso Melodia,et al.  On the Performance of Compressive Video Streaming for Wireless Multimedia Sensor Networks , 2010, 2010 IEEE International Conference on Communications.

[14]  Mani B. Srivastava,et al.  Compressive Oversampling for Robust Data Transmission in Sensor Networks , 2010, 2010 Proceedings IEEE INFOCOM.

[15]  Ute Rosenbaum,et al.  Projective Geometry: From Foundations to Applications , 1998 .