Based on the compressed sensing theory, if a signal is sparse in a suitable space, by using the optimization methods, signal could be accurately reconstructed from measurements that are significantly less than the theoretical Shannon requirements. The sparse representation may exist for the signal and it is not available for the noise; this could be used to distinguish these two. On the other hand, in compressed sensing, finding the answer hinges on finding the most sparse solution; thus this technique can separate clean signal from the noise. In FMCW radar, the distance of a target could be obtained from the frequency of the receiver output signal. Since this signal has a sparse representation in the frequency domain, based on compressed sensing theory, it could be reconstructed from a few number of data. In this paper, a new method for signal processing of FMCW radar is presented based on compressed sensing. Moreover, by considering noise removal feature that is in the nature of this technique, it is shown that the effect of noise on the receiver output signal can be reduced and the system performance of the radar can be improved.
D. L. Donoho, âCompressed Sensing,â IEEE Transactions on Information Theory, vol. 52, no. 4, pp. 1289-1306, 2006.
J. A. Tropp, and A. C. Gilbert, âSignal Recovery from Random Measurements Via Orthogonal Matching Pursuit,â IEEE Transactions on Information Theory, vol. 53, no. 12, pp. 4655-4666, 2007.
G. Shi, J. Lin, X. Chen, F. Qi, et al., âUwb Echo Signal Detection with Ultra-Low Rate Sampling Based on Compressed Sensing,â IEEE Transactions on Circuits and Systems II: Express Briefs, vol. 55, no. 4, pp. 379-383, 2008.
J. L. Paredes, G. R. Arce, and Z. Wang, âUltra-Wideband Compressed Sensing: Channel Estimation,â Selected Topics in IEEE Journal of Signal Processing, vol. 1, no. 3, pp. 383-395, 2007.
M. Herman, and T. Strohmer, âCompressed Sensing Radar,â in Radar Conference, 2008. RADAR'08. IEEE, pp. 1-6, 2008.
C.-Y. Chen, and P. Vaidyanathan, âCompressed Sensing in Mimo Radar,â in 42nd Asilomar Conference on Signals, Systems and Computers, 2008, pp. 41-44, 2008.
M. A. Herman, and T. Strohmer, âHigh-Resolution Radar Via Compressed Sensing,â IEEE Transactions on Signal Processing, vol. 57, no. 6, pp. 2275-2284, 2009.
Greub, Werner H. âLinear algebra,â Vol. 23. Springer Science & Business Media, 2012.
Christensen, Ole. âAn introduction to frames and Riesz bases,â Springer Science & Business Media, 2013.
S. G. Mallat, and Z. Zhang, âMatching Pursuits with Time-Frequency Dictionaries,â IEEE Transaction on Signal Processing, vol. 41, no. 12, pp. 3397-3415, 1993
E. J. Candes, J. K. Romberg, and T. Tao, âStable Signal Recovery from Incomplete and Inaccurate Measurements,â Communications on pure and applied mathematics, vol. 59, no. 8, pp. 1207-1223, 2006.
E. J. Candès, J. Romberg, and T. Tao, âRobust Uncertainty Principles: Exact Signal Reconstruction from Highly Incomplete Frequency Information,â IEEE Transactions on Information Theory, vol. 52, no. 2, pp. 489-509, 2006
E. J. Candes, and T. Tao, âNear-Optimal Signal Recovery from Random Projections: Universal Encoding Strategies?,â IEEE Transactions on Information Theory, vol. 52, no. 12, pp. 5406-5425, 2006.
H. Mohimani, M. Babaie-Zadeh, and C. Jutten, âA Fast Approach for Overcomplete Sparse Decomposition Based on Smoothed Norm,â IEEE Transactions on Signal Processing, vol. 57, no. 1, pp. 289-301, 2009.
E. Van Den Berg, and M. P. Friedlander, âProbing the Pareto Frontier for Basis Pursuit Solutions,â SIAM Journal on Scientific Computing, vol. 31, no. 2, pp. 890-912, 2008.
Y. Jin, and B. D. Rao, âPerformance Limits of Matching Pursuit Algorithms,â in IEEE International Symposium on Information Theory, pp. 2444-2448, 2008.
T. Jihua, S. Jinping, Z. Yuxi, N. Ahmad, et al., âThe Effects of Input Signal-to-Noise Ratio on Compressive Sensing Sar Imaging,â in 2nd International Conference on Signal Processing Systems (ICSPS), pp. V3-533-V3-537, 2010.
J. A. Tropp, and S. J. Wright, âComputational Methods for Sparse Solution of Linear Inverse Problems,â Proceedings of the IEEE, vol. 98, no. 6, pp. 948-958, 2010.
W. Wang, and R. Wu, âHigh Resolution Direction of Arrival (Doa) Estimation Based on Improved Orthogonal Matching Pursuit (Omp) Algorithm by Iterative Local Searching,â Sensors, vol. 13, no. 9, pp. 11167-11183, 2013.
X. Liu, D. Peng, W. Guo, X. Ma, et al., âCompressed Sensing Photoacoustic Imaging Based on Fast Alternating Direction Algorithm,â Journal of Biomedical Imaging, vol. 2012, no. 12, 2012.
A. M. Abdulghani, A. J. Casson, and E. Rodriguez-Villegas, âQuantifying the Performance of Compressive Sensing on Scalp Eeg Signals,â in 3rd International Symposium on Applied Sciences in Biomedical and Communication Technologies, pp. 1-5, 2010.
N. Cao, X. Hu, H. Lu, and M. Mao, âCooperative Spectrum Sensing Algorithm Based on Cs-Slim Iterative Minimization Sparse Learning,â International Journal of Distributed Sensor Networks, vol. 2013, 2013.
C. Hegde, and R. G. Baraniuk, âSampling and Recovery of Pulse Streams,â IEEE Transactions on Signal Processing, vol. 59, no. 4, pp. 1505-1517, 2011.
Douglas A. Lyon: âThe Discrete Fourier Transform, Part 4: Spectral Leakageâ, in Journal of Object Technology, vol. 8. no. 7, November - December 2009 pp. 23 - 34.
N. Wan-zheng, W. Hai-yan, W. Xuan, and Y. Fu-zhou, âThe Analysis of Noise Reduction Performance in Compressed Sensing,â in IEEE International Conference on Signal Processing, Communications and Computing (ICSPCC), pp. 1-5, 2011.
F. Marvasti, A. Amini, F. Haddadi, M. Soltanolkotabi, et al., âA Unified Approach to Sparse Signal Processing,â in EURASIP Journal on Signal Processing., vol. 2012, pp. 44, 2012.
P .E. Pace, âDetecting and Classifying Low Probability of Intercept Radarâ; Artech House, 2009.
Z. Zarei, M. M. Madani, R. Mohseni âDetection of Phase Code Modulated LPI Radar Signals using Time-Frequency Distributions and Comparing with Power Function of Matched Detector,â Journal
Mozaffari, M., & Samadi, S. (2016). Sampling Rate Reduction and System Performance Improvement of FMCW Radar Using Dual Compressed Sensing Technique. Radar, 4(3), 39-53.
MLA
Mostafa Mozaffari; Sadegh Samadi. "Sampling Rate Reduction and System Performance Improvement of FMCW Radar Using Dual Compressed Sensing Technique", Radar, 4, 3, 2016, 39-53.
HARVARD
Mozaffari, M., Samadi, S. (2016). 'Sampling Rate Reduction and System Performance Improvement of FMCW Radar Using Dual Compressed Sensing Technique', Radar, 4(3), pp. 39-53.
VANCOUVER
Mozaffari, M., Samadi, S. Sampling Rate Reduction and System Performance Improvement of FMCW Radar Using Dual Compressed Sensing Technique. Radar, 2016; 4(3): 39-53.