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2013-07-30
A Compressive Sensing Signal Detection for UWB Radar
By
Progress In Electromagnetics Research, Vol. 141, 479-495, 2013
Abstract
A major challenge in UWB signal processing is the requirement for very high sampling rate under Shannon-Nyquist sampling theorem which exceeds the current ADC capacity. Radar signal is essentially a delayed and scaled version of the transmitted pulse, determined by sparse parameters such as time delays and amplitudes. A system for sampling UWB radar signal at an ultra-low sampling rate based on the Finite Rate of Innovation (FRI) and the estimation of time delays and amplitudes to detect UWB radar signal is presented in the paper. This sampling scheme which acquires the Fourier series coefficients often results in sparse parameter extraction for UWB radar signal detection. The parameters such as time-delays and amplitudes are estimated using the total variation norm minimization. With this system, the UWB radar signal can be accurately reconstructed and detected with overwhelming probability at the rate much lower than Nyquist rate. The simulation results show that the proposed approach offers very good recovery performances for noisy UWB radar signal using very small number of samples, which is effective for sampling and detecting UWB radar signal.
Citation
Shugao Xia Yuhong Liu Jeffrey Sichina Fengshan Liu , "A Compressive Sensing Signal Detection for UWB Radar," Progress In Electromagnetics Research, Vol. 141, 479-495, 2013.
doi:10.2528/PIER13061714
http://www.jpier.org/PIER/pier.php?paper=13061714
References

1. Hanson, K. M., "Communication in the presence of noise," Proceedings of the IRE, Vol. 37, 10-21, 1949.

2. Nguyen, L. H., "Signal and image processing algorithms for the army research lab ultra-wideband synchronous impulse reconstruction (UWB sire) radar,", Tech. Rep. ARL-TR-4784, ARL, 2009.

3. Mishali, M. and Y. C. Eldar, "From theory to practice: Sub-Nyquist sampling of sparse wideband analog signals," IEEE Journal of Selected Topics in Signal Process, Vol. 4, No. 2, 375-391, 2010.
doi:10.1109/JSTSP.2010.2042414

4. Candes, E. J. and M. Wakin, "An introduction to compressive sampling," IEEE Signal Processing Magazine, Vol. 25, No. 2, 21-30, 2008.
doi:10.1109/MSP.2007.914731

5. Duarte, M. F. and Y. C. Eldar, "Structured compressed sensing: From theory to applications," IEEE Transactions on Signal Processing, Vol. 59, No. 9, 4053-4085, 2011.
doi:10.1109/TSP.2011.2161982

6. Tropp, J. A., J. N. Laska, M. F. Duarte, J. K. Romberg, and R. Baraniuk, "Beyond Nyquist: Efficient sampling of sparse bandlimited signals," IEEE Transactions on Information Theory, Vol. 56, No. 1, 520-544, 2010.
doi:10.1109/TIT.2009.2034811

7. Vetterli, M., P. Marziliano, and T. Blu, "Sampling signals with finite rate of innovation," IEEE Transactions on Signal Processing, Vol. 5, No. 6, 1417-1428, 2002.
doi:10.1109/TSP.2002.1003065

8. Uriguen, J., Y. C. Eldar, P. L. Dragotti, and Z. Ben-Haim, "Sampling at the rate of innovation: Theory and applications," Compressed Sensing: Theory and Applications, Y. C. Eldar and G. Kutyniok (eds.), Cambridge University Press, 2012.

9. Lie, J. P., B. P. Ng, and C. M. See, "Multiple UWB emitters DOA estimation employing time hopping spread spectrum," Progress In Electromagnetics Research, Vol. 78, 83-101, 2008.
doi:10.2528/PIER07091303

10. Michaeli, T. and Y. C. Eldar, "Xampling at the rate of innovation," IEEE Transactions on Signal Processing, Vol. 60, No. 3, 1121-1133, 2012.
doi:10.1109/TSP.2011.2178409

11. Tur, R., Y. C. Eldar, and Z. Friedman, "Innovation rate sampling of pulse streams with application to ultrasound imaging," IEEE Transactions on Signal Processing, Vol. 59, No. 4, 1827-1142, 2011.
doi:10.1109/TSP.2011.2105480

12. Gedalyahu, K., R. Tur, and Y. C. Eldar, "Multichannel sampling of pulse streams at the rate of innovation," IEEE Transactions on Signal Processing, Vol. 59, No. 4, 1491-1504, 2011.
doi:10.1109/TSP.2011.2105481

13. Stoica, P. and R. Moses, Introduction to Spectral Analysis, Prentice-Hall, Englewood Cliffs, NJ, 1997.

14. Wagner, N., Y. C. Eldar, and Z. Friedman, "Compressed beamforming in ultrasound imaging," IEEE Transactions on Signal Processing, Vol. 60, No. 9, 4643-4657, 2012.
doi:10.1109/TSP.2012.2200891

15. Candes, E. J., J. Romberg, and T. Tao, "Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information," IEEE Transactions on Information Theory, Vol. 52, No. 2, 489-509, 2006.
doi:10.1109/TIT.2005.862083

16. Donoho, D. L. and P. B. Stark, "Uncertainty principles and signal recovery," SIAM Journal on Applied Mathematics, Vol. 49, No. 3, 906-931, 1989.
doi:10.1137/0149053

17. Candes, E. J. and C. Fernandez-Granda, "Towards a mathematical theory of super-resolution," Communications on Pure and Applied Mathematics, 2013, doi: 10.1002/cpa.21455.

18. Roy, R. and T. Kailath, "Esprit-estimation of signal parameters via rotational invariance techniques," IEEE Transactions on Acoustics, Speech and Signal Processing, Vol. 37, No. 7, 984-995, 1989.
doi:10.1109/29.32276

19. Tang, G., B. N. Bhaskar, P. Shah, and B. Recht, "Compressed sensing of the grid," 50th Annual Allerton Conference on Communication, Control, and Computing, 778-785, Allerton, Monticello, USA, 2012.