Sparse learning via iterative minimization with application to MIMO radar imaging

IEEE Transactions on Signal Processing

Volumn 59, Issue 3, 2011, Pages 1088-1101

  Tan, Xing ^a   Roberts, William ^b   Li, Jian ^c   Stoica, Petre ^d  

^a MaxLinear Inc   (United States)

^b Department of Defense ^*  (United States)

^c University of Florida   (United States)

^d UPPSALA UNIVERSITY   (Sweden)

Author keywords

bayesian information criterion; MIMO radar; radar imaging; Sparse learning via iterative minimization; sparse signal recovery

Indexed keywords

BAYESIAN INFORMATION CRITERION; COMPUTATIONAL COSTS; DATA SNAPSHOT; DOPPLER IMAGES; EXISTING METHOD; HIGHER RESOLUTION; IMAGING APPLICATIONS; MULTIPLE-INPUT MULTIPLE-OUTPUT RADARS; PARAMETER IDENTIFIABILITY; PHASED ARRAY RADARS; SPARSE LEARNING VIA ITERATIVE MINIMIZATION; SPARSE METHODS; SPARSE SIGNALS; WAVEFORM DIVERSITY;

BAYESIAN NETWORKS; COMPUTATIONAL COMPLEXITY; ESTIMATION; MIMO SYSTEMS; OPTIMIZATION; RADAR; RADAR IMAGING; RECOVERY; SIGNAL RECONSTRUCTION;

MIMO RADAR;

EID: 79951624794     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2010.2096218     Document Type: Article

References (55)

1. A. A. Oliner and G. H. Knittel, Phased Array Antennas. Norwood, MA: Artech House, 1972.
2. E. Brookner, "Phased array radars," Scientif. Amer., vol. 252, pp. 94-102, Feb. 1985.
3. E. Fishler, A. Haimovich, R. Blum, D. Chizhik, L. Cimini, and R. Valenzuela, "MIMO radar: An idea whose time has come," in Proc. IEEE Radar Conf., Apr. 2004, pp. 71-78.
4. E. Fishler, A. Haimovich, R. Blum, L. Cimini, D. Chizhik, and R. Valenzuela, "Performance of MIMO radar systems: Advantages of angular diversity," in Proc. 38th Asilomar Conf. Signals, Syst. Comput., Pacific Grove, CA, Nov. 2004, vol. 1, pp. 305-309. (Pubitemid 40930619)
5. E. Fishler, A. Haimovich, R. Blum, L. Cimini, D. Chizhik, and R. Valenzuela, "Spatial diversity in radars-Models and detection performance," IEEE Trans. Signal Process., vol. 54, pp. 823-838, Mar. 2006. (Pubitemid 43280562)
6. A. H. Haimovich, R. S. Blum, and L. J. Cimini, "MIMO radar with widely separated antennas," IEEE Signal Process. Mag., vol. 25, pp. 116-129, Jan. 2008.
7. I. Bekkerman and J. Tabrikian, "Spatially coded signal model for active arrays," in The 2004 IEEE Int. Conf. Acoust., Speech, Signal Process., Montreal, Quebec, Canada, Mar. 2004, vol. 2, pp. ii/209-ii/212.
8. F. C. Robey, S. Coutts, D. Weikle, J. C. McHarg, and K. Cuomo, "MIMO radar theory and experimental results," in Proc. 38th Asilomar Conf. Signals, Syst. Comput., Pacific Grove, CA, Nov. 2004, vol. 1, pp. 300-304. (Pubitemid 40930618)
9. L. B. White and P. S. Ray, "Signal design for MIMO diversity systems," in Proc. 38th Asilomar Conf. Signals, Syst. Comput., Pacific Grove, CA, Nov. 2004, vol. 1, pp. 973-977. (Pubitemid 40930744)
10. , J. Li and P. Stoica, Eds., MIMO Radar Signal Processing. Hoboken, NJ: Wiley, 2009.
11. K. Forsythe, D. Bliss, and G. Fawcett, "Multiple-input multiple-output (MIMO) radar: Performance issues," in Proc. 38th Asilomar Conf. Signals, Syst. Comput., Pacific Grove, CA, Nov. 2004, vol. 1, pp. 310-315. (Pubitemid 40930620)
12. D. W. Bliss and K. W. Forsythe, "Multiple-input multiple-output (MIMO) radar and imaging: Degrees of freedom and resolution," in Proc. 38th Asilomar Conf. Signals, Syst. Comput., Pacific Grove, CA, Nov. 2003, vol. 1, pp. 54-59.
13. J. Li and P. Stoica, "MIMO radar with colocated antennas: Review of some recent work," IEEE Signal Process. Mag., vol. 24, pp. 106-114, Sep. 2007. (Pubitemid 350130508)
14. J. Li, P. Stoica, L. Xu, and W. Roberts, "On parameter identifiability of MIMO radar," IEEE Signal Process. Lett., vol. 14, pp. 968-971, Dec. 2007. (Pubitemid 350201255)
15. J. Li, P. Stoica, and X. Zheng, "Signal synthesis and receiver design for MIMO radar imaging," IEEE Trans. Signal Process., vol. 56, pp. 3959-3968, Aug. 2008.
16. H. He, P. Stoica, and J. Li, "Designing unimodular sequence sets with good correlations-Including an application to MIMO radar," IEEE Trans. Signal Process., vol. 57, pp. 4391-4405, Nov. 2009.
17. B. Friedlander, "Waveform design for MIMO radars," IEEE Trans. Aerosp. Electron. Syst., vol. 43, pp. 1227-1238, Jul. 2007. (Pubitemid 350218366)
18. Y. Yang and R. Blum, "Minimax robust MIMO radar waveform design," IEEE J. Sel. Topics in Signal Process., vol. 1, pp. 147-155, Jun. 2007. (Pubitemid 46805296)
19. Y. Yang and R. S. Blum, "MIMO radar waveform design based on mutual information and minimum mean-square error estimation," IEEE Trans. Aerosp. Electron. Syst., vol. 43, pp. 330-343, January 2007. (Pubitemid 46773725)
20. A. De Maio and M. Lops, "Achieving full diversity in MIMO radar: Code construction and performance bounds," in Proc. 7th Int. Radar Symp. (IRS), May 2006, pp. 153-156.
21. A. De Maio and M. Lops, "Spacetime coding for MIMO radar," in MIMO Radar Signal Processing, J. Li and P. Stoica, Eds. New York: Wiley, 2008, pp. 411-444.
22. D. R. Fuhrmann and G. San Antonio, "Transmit beamforming for MIMO radar systems using partial signal correlation," in Proc. 38th Asilomar Conf. Signals, Syst. Comput., Pacific Grove, CA, Nov. 2004, vol. 1, pp. 295-299. (Pubitemid 40930617)
23. D. R. Fuhrmann and G. San Antonio, "Transmit beamforming for MIMO radar systems using signal cross-correlation," IEEE Trans. Aerosp. Electron. Syst., vol. 44, pp. 1-16, Jan. 2008.
24. P. Stoica, J. Li, and X. Zhu, "Waveform synthesis for diversity-based transmit beampattern design," IEEE Trans. Signal Process., vol. 56, pp. 2593-2598, Jun. 2008. (Pubitemid 351795908)
25. P. Stoica, J. Li, and Y. Xie, "On probing signal design for MIMO radar," IEEE Trans. Signal Process., vol. 55, pp. 4151-4161, Aug. 2007. (Pubitemid 47261534)
26. W. Roberts, P. Stoica, J. Li, T. Yardibi, and F. Sadjadi, "Iterative adaptive approaches to MIMO radar imaging," IEEE J. Sel. Topics Signal Process.: Special Issue on MIMO Radar and Its Appl., vol. 4, pp. 5-20, Feb. 2010.
27. M. I. Skolnik, Introduction to Radar System, 3rd ed. New York: Mc- Graw-Hill, 2002.
28. J. Capon, "High resolution frequency-wavenumber spectrum analysis," Proc. IEEE, vol. 57, pp. 1408-1418, Aug. 1969.
29. J. Li and P. Stoica, "An adaptive filtering approach to spectral estimation and SAR imaging," IEEE Trans. Signal Process., vol. 44, pp. 1469-1484, Jun. 1996. (Pubitemid 126777963)
30. R. Tibshirani, "Regression shrinkage and selection via the lasso," J. Royal Statist. Soc., vol. 58, no. 1, pp. 267-288, 1996.
31. S. Chen, D. Donoho, and M. Saunders, "Atomic decomposition by basis pursuit," SIAM J. Scientif. Comput., vol. 20, pp. 33-61, August 1998. (Pubitemid 128689501)
32. D. L. Donoho, "Compressed sensing," IEEE Trans. Inf. Theory, vol. 52, pp. 1289-1306, Apr. 2006.
33. R. G. Baraniuk, "Compressive sensing," IEEE Signal Process. Mag., vol. 24, pp. 118-121, Jul. 2007.
34. E. Candés and M. Wakin, "An introduction to compressive sampling," IEEE Signal Process. Mag., vol. 25, pp. 21-30, Mar. 2008.
35. T. Yardibi, J. Li, P. Stoica, M. Xue, and A. B. Baggeroer, "Source localization and sensing: A nonparametric iterative adaptive approach based on weighted least squares," IEEE Trans. Aerosp. Electron. Syst., vol. 46, pp. 425-443, Jan. 2010.
36. D. Needell and J. Tropp, "CoSaMP: Iterative signal recovery from incomplete and inaccurate samples," Appl. Computat. Harmon. Anal., vol. 26, pp. 301-321, May 2009.
37. E. Candés, J. Romberg, and T. Tao, "Stable signal recovery from incomplete and inaccurate measurements," Communications on Pure and Applied Mathematics, vol. 59, pp. 1207-1223, 2006. (Pubitemid 43988295)
38. S. Boyd and L. Vandenberghe, Convex Optimization. Cambridge, U. K.: Cambridge Univ. Press, 2004.
39. M. Figueiredo and R. Nowak, "An EM algorithm for wavelet-based image restoration," IEEE Trans. Image Process., vol. 12, pp. 906-916, 2003.
40. I. Daubechies, M. Defrise, and C. De Mol, "An iterative thresholding algorithm for linear inverse problems with a sparsity constraint," Commun. Pure and Appl. Math., vol. 57, pp. 1413-1457, 2004. (Pubitemid 39427442)
41. M. Figueiredo, R. Nowak, and S. Wright, "Gradient projection for sparse reconstruction: Application to compressed sensing and other inverse problems," IEEE J. Sel. Topics in Signal Process., vol. 1, pp. 586-597, 2007. (Pubitemid 351276802)
42. S. Mallat and Z. Zhang, "Matching pursuits with time-frequency dictionaries," IEEE Trans. Signal Process., vol. 41, no. 12, pp. 3397-3415, 1993.
43. Y. Pati, R. Rezaiifar, and P. Krishnaprasad, "Orthogonal matching pursuit: Recursive function approximation with applications towavelet decomposition," in Proc. 27th Asilomar Conf. Signals, Syst., Comput., Nov. 1993, vol. 1, pp. 40-44.
44. J. Tropp and A. Gilbert, "Signal recovery from random measurements via orthogoanl matching pursuit," IEEE Trans. Inf. Theory, vol. 53, pp. 4655-4666, Dec. 2007.
45. R. Chartrand, "Exact reconstruction of sparse signals via nonconvex minimization," IEEE Signal Process. Lett., vol. 14, pp. 707-710, Oct. 2007. (Pubitemid 47434090)
46. A. Gelman, J. B. Carlin, H. S. Stern, and D. B. Rubin, Bayesian Data Analysis. Boca Raton, FL: Chapman & Hall/CRC, 2004.
47. C. P. Robert and G. Casella, Monte Carlo Statistical Methods. New York: Springer Science + Business Media, 2004.
48. 1 minimization," J. Fourier Anal. Appl., vol. 14, pp. 877-905, Dec. 2008.
49. T. Goldstein and S. Osher, The Split Bregman Method for l1 Regularized Problem Aug. 2008 [Online]. Available: ftp://ftp.math.ucla.edu/ pub/camreport/cam08-29.pdf, UCLA CAM report
50. B. D. Rao, K. Engan, S. F. Cotter, J. Palmer, and K. Kreutz-Delgado, "Subset selection in noise based on diversity measure minimization," IEEE Trans. Signal Process., vol. 51, no. 3, pp. 760-770, 2003.
51. P. Stoica and R. L. Moses, Spectral Analysis of Signals. Upper Saddle River, NJ: Prentice-Hall, 2005.
52. P. Stoica and Y. Selén, "Model-order selection: A review of information criterion rules," IEEE Signal Process. Mag., vol. 21, pp. 36-47, July 2004.
53. T. Yardibi, J. Li, P. Stoica, M. Xue, and A. B. Baggeroer, "Source localization and sensing: A nonparametric iterative adaptive approach based on weighted least squares," IEEE Trans. Aerosp. Electron. Syst., vol. 46, pp. 425-443, Jan. 2010.
54. R. Aster, B. Borchers, and C. Thurber, Parameter Estimation and Inverse Problems. Burlington, MA: Elsevier Academic, 2005.
55. J. Daniel, "The conjugate gradient method for linear and nonlinear operator equations," SIAM J. Numer. Anal., vol. 4, pp. 10-26, Mar. 1967