Fast and robust parametric estimation of jointly sparse channels

IEEE Journal on Emerging and Selected Topics in Circuits and Systems

Volumn 2, Issue 3, 2012, Pages 402-412

  Barbotin, Yann ^a   Vetterli, Martin ^a  

^a EPFL   (Switzerland)

Author keywords

Channel estimation; effective rank; finite rate of innovation (FRI); Krylov subspace; sparse

Indexed keywords

COMPRESSIVE SENSING; DIGITAL BROADCASTING; EFFECTIVE RANK; ESTIMATION ALGORITHM; ESTIMATION PERFORMANCE; FIELD MEASUREMENT; FINITE RATE; FREQUENCY DOMAINS; JOINT ESTIMATION; KRYLOV SUBSPACE; LOW SIGNAL-TO-NOISE RATIO; MEMORY FOOTPRINT; MOBILE ACCESS; OPERATING CONDITION; PARAMETRIC ESTIMATION; SPARSE; SPARSE CHANNELS; SYMBOL DECODING; SYNTHETIC ADDITIVES;

CHANNEL ESTIMATION; ESTIMATION; GAUSSIAN NOISE (ELECTRONIC); MULTIPATH PROPAGATION; RECEIVING ANTENNAS; SIGNAL RECONSTRUCTION;

ALGORITHMS;

EID: 84871008171     PISSN: 21563357     EISSN: None     Source Type: Journal    
DOI: 10.1109/JETCAS.2012.2214872     Document Type: Article

References (39)

1. Requirements for E-UTRA and E-UTRAN, ETSI TR 125 913, 2009.
2. 300 744, DVB; Framing, Channel Coding and Modulation for Digital Terrestrial Television, ETSI Std. 300 744, ETSI, 2001.
3. Y. Barbotin, A. Hormati, S. Rangan, and M. Vetterli, "Estimation of sparseMIMOchannels with common support," IEEE Trans. Commun., 2012, submitted for publication.
4. Y. Lu and M. Do, "Sampling signals from a union of subspaces," IEEE Signal Process. Mag., vol. 25, no. 2, pp. 41-47, Mar. 2008.
5. T. Blu, P. L.Dragotti,M.Vetterli, P.Marziliano, and L. Coulot, "Sparse sampling of signal innovations," IEEE Signal Process. Mag., vol. 25, no. 2, pp. 31-40, Mar. 2008.
6. A. Aldroubi and K. Gröchenig, "Nonuniform sampling and reconstruction in shift-invariant spaces," SIAM Rev., pp. 585-620, 2001. (Pubitemid 34220945)
7. D. L. Boley, F. T. Luk, and D. Vandevoorde, "A fast method to diagonalize a Hankel matrix," Linear Alg. Appl., vol. 284, pp. 41-52, 1998.
8. J. Rissanen, "Modeling by shortest data description," Automatica, vol. 14, no. 5, pp. 465-471, 1978.
9. L. C. Zhao, P. R. Krishnaiah, and Z. D. Bai, "On detection of the number of signals in presence of white noise," J. Multivariate Anal., vol. 20, no. 1, pp. 1-25, 1986.
10. H. Hofstetter, C. Mecklenbräuker, R. Müller, H. Anegg, H. Kunczier, E. Bonek, I.Viering, and A.Molisch, 2002, MIMOmeasurements [Online]. Available: http://measurements.ftw.at/MIMO.html
11. C. Berger, S. Zhou, J. Preisig, and P. Willett, "Sparse channel estimation for multicarrier underwater acoustic communication: From subspace methods to compressed sensing," IEEE Trans. Signal Process., vol. 58, no. 3, pp. 1708-1721, Mar. 2010.
12. G. Taubock and F. Hlawatsch, "A compressed sensing technique for OFDM channel estimation inmobile environments: Exploiting channel sparsity for reducing pilots," in Proc. ICASSP, 2008, pp. 2885-2888.
13. O. Roy and M. Vetterli, "The effective rank: A measure of effective dimensionality," in Eur. Signal Process. Conf. (EUSIPCO), 2007, pp. 606-610.
14. M. Davies and Y. Eldar, "Rank awareness in joint sparse recovery," IEEE Trans. Inf. Theory, vol. 58, no. 2, pp. 1135-1146, Feb. 2012.
15. K. Lee, Y. Bresler, and M. Junge, "Subspace methods for joint sparse recovery," IEEE Trans. Inf. Theory, vol. 58, no. 6, pp. 3613-3641, Jun. 2012.
16. A. Saleh and R. Valenzuela, "A statistical model for indoor multipath propagation," IEEE J. Sel. Areas Commun., vol. 5, no. SAC-2, pp. 128-137, Feb. 1987. (Pubitemid 17534688)
17. D. Baum, J. Hansen, and J. Salo, "An interim channel model for beyond-3G systems: Extending the 3GPP spatial channel model (SCM)," in Proc. IEEE 61st Veh. Technol. Conf., 2005, vol. 5, pp. 3132-3136. (Pubitemid 41430293)
18. J. Salz and J. Winters, "Effect of fading correlation on adaptive arrays in digital mobile radio," IEEE Trans. Veh. Technol., vol. 43, no. 4, pp. 1049-1057, 1994.
19. D. Cassioli, M. Win, and A. Molisch, "The ultra-wide bandwidth indoor channel: From statistical model to simulations," IEEE J. Sel. Areas Commun., vol. 20, no. 6, pp. 1247-1257, Aug. 2002. (Pubitemid 34950013)
20. T. S. Rappaport, Principles of Wireless Communications, 2nd ed. Upper Saddle River, NJ: Prentice Hall, 2002.
21. R. Roy and T. Kailath, "ESPRIT-estimation of signal parameters via rotational invariance techniques," IEEE Trans. Acoust., Speech, Signal Process., vol. 37, no. 7, pp. 984-995, Jul. 1989.
22. D. Tufts and R. Kumaresan, "Estimation of frequencies of multiple sinusoids: Making linear prediction perform like maximum likelihood," Proc. IEEE, vol. 70, no. 9, pp. 975-989, Sep. 1982.
23. M. Soltanolkotabi,M. Soltanalian, A. Amini, and F.Marvasti, "A practical sparse channel estimation for current OFDM standards," in ICT '09, May 2009, pp. 217-222.
24. B. N. Parlett, The Symmetric Eigenvalue Problem. Englewood Cliffs, NJ: Prentice Hall, 1998.
25. G. Golub and C. van Van Loan, Matrix Computations. Baltimore, MD: Johns Hopkins Uni. Press, 1996.
26. Y. Saad, "On the rates of convergence of the Lanczos and the block-Lanczos methods," SIAM J. Num. Anal., pp. 687-706, 1980.
27. C. Paige, "Computational variants of the Lanczosmethod for the eigenproblem," SIMA J. Appl. Math., vol. 10, no. 3, p. 373, 1972.
28. Boley, "Fast identification of impulse response modes via Krylov space methods," in Proc. 36th IEEE Conf. Decision Control, 1997, pp. 4384-4388.
29. G. Xu, H. Zha, G. Golub, and T. Kailath, "Fast algorithms for updating signal subspaces," IEEE Trans. Circuits Syst. II, Analog Digit. Signal Process., vol. 41, no. 8, pp. 537-549, Aug. 1994.
30. W. Yeh and C. Jen, "High-speed and low-power split-radix FFT," IEEE Trans. Signal Process., vol. 51, no. 3, pp. 864-874, Mar. 2003.
31. R. Brent, F. Luk, and C. Van Loan, "Computation of the singular value decomposition using mesh-connected processors," J. VLSI Comput. Syst., vol. 1, no. 3, pp. 242-270, 1985. (Pubitemid 15544853)
32. J. Cavallaro and F. Luk, "CORDIC arithmetic for an SVD processor," J. Parallel Dist. Comput., vol. 5, no. 3, pp. 271-290, 1988.
33. G. Szegö, Orthogonal Polynomials. Providence, RI: AMS, 1939.
34. Y. Yin and P. Krishnaiah, "On some nonparametric methods for detection of the number of signals," IEEE Trans. Acoust., Speech, Signal Process., vol. ASSP-35, no. 11, pp. 1533-1538, Nov. 1987. (Pubitemid 18537492)
35. M. Kaveh, H.Wang, andH. Hung, "On the theoretical performance of a class of estimators of the number of narrow-band sources," IEEE Trans. Acoust., Speech, Signal Process., vol. ASSP-35, no. 9, pp. 1350-1352, Sep. 1987. (Pubitemid 17650871)
36. G. Xu, R. H. Roy, and T. Kailath, "Detection of number of sources via exploitation of centro-symmetry property," IEEE Trans. Signal Process., vol. 42, no. 1, pp. 102-112, Jan. 1994.
37. W. Bryc, A. Dembo, and T. Jiang, "Spectral measure of large random Hankel, Markov and Toeplitz matrices," Ann. Probabil., vol. 34, no. 1, pp. 1-38, 2006. (Pubitemid 43409918)
38. M. Meckes, "On the spectral norm of a random Toeplitz matrix," Elec. Comm. Prob., vol. 12, pp. 315-325, 2007.
39. R. Lehoucq, D. Sorensen, and C. Yang, "ARPACK Users' Guide: Solution of large-scale eigenvalue problems with implicitly restarted Arnoldi methods," SIAM, vol. 6, 1998.