Linear precoding for finite-alphabet signaling over MIMOME wiretap channels

IEEE Transactions on Vehicular Technology

Volumn 61, Issue 6, 2012, Pages 2599-2612

  Wu, Yongpeng ^a   Xiao, Chengshan ^b   Ding, Zhi ^a,c   Gao, Xiqi ^a   Jin, Shi ^a  

^a SOUTHEAST UNIVERSITY   (China)

^b Architectural and Environmental Engineering   (United States)

^c University of California   (United States)

Author keywords

Finite alphabet; multiple input multiple output multiple antenna eavesdropper (MIMOME); transmit precoding; wiretap channel

Indexed keywords

BACKTRACKING LINE SEARCH; CLOSED FORM; FINITE ALPHABET; FINITE-ALPHABET INPUTS; GAUSSIANS; ITERATIVE ALGORITHM; JAMMING SIGNALS; KARUSH KUHN TUCKERS; LINEAR PRE-CODING; LOW SIGNAL-TO-NOISE RATIO; MATRIX CALCULUS; MULTIPLE-INPUT-MULTIPLE-OUTPUT-MULTIPLE-ANTENNA EAVESDROPPER (MIMOME); NUMERICAL RESULTS; POWER CONTROL POLICIES; PRECODING; PRECODING MATRIX; RATE LOSS; TRANSMIT PRECODING; WIRETAP CHANNEL;

ALGORITHMS; ANTENNAS; CHANNEL STATE INFORMATION; COMMUNICATION CHANNELS (INFORMATION THEORY); GAUSSIAN DISTRIBUTION; MATRIX ALGEBRA; SIGNAL GENERATORS; STRUCTURAL OPTIMIZATION; TELECOMMUNICATION REPEATERS; TRANSMITTERS;

DESIGN;

EID: 84863908572     PISSN: 00189545     EISSN: None     Source Type: Journal    
DOI: 10.1109/TVT.2012.2195339     Document Type: Article

References (51)

1. B. Schnerier, "Cryptographic design vulnerabilities," Computer, vol. 31, no. 9, pp. 29-33, Sep. 1998.
2. Y.-L. Huang, C.-Y. Shen, and S. W. Shieh, "S-AKA: A provable and secure authentication key agreement protocol for UMTS networks," IEEE Trans. Veh. Technol., vol. 60, no. 9, pp. 4509-4519, Nov. 2011.
3. A. D. Wyner, "The wiretap channel," Bell Syst. Tech. J., vol. 54, no. 8, pp. 1355-1387, Oct. 1975.
4. I. Csiszár and J. Körner, "Broadcast channels with confidential messages," IEEE Trans. Inf. Theory, vol. IT-24, no. 3, pp. 339-348, May 1978.
5. A. Khisti and G. W. Wornell, "Secure transmission with multiple antennas-Part I: The MISOME wiretap channel," IEEE Trans. Inf. Theory, vol. 56, no. 7, pp. 3088-3104, Jul. 2010.
6. A. Khisti and G. W. Wornell, "Secure transmission with multiple antennas-Part II: The MIMOME wiretap channel," IEEE Trans. Inf. Theory, vol. 56, no. 11, pp. 5515-5532, Nov. 2010.
7. F. Oggier and B. Hassibi, "The secrecy capacity of the MIMO wiretap channel," IEEE Trans. Inf. Theory, vol. 57, no. 8, pp. 4961-4972, Aug. 2011.
8. J. Li and A. P. Petropulu, "Transmitter optimization for achieving secrecy capacity in Gaussian MIMO wiretap channels," IEEE Trans. Inf. Theory, Sep. 2009, submitted for publication. [Online]. Available: http://arxiv.org/abs/arXiv:0909.2622
9. L. Dong, Z. Han, A. P. Petropulu, and H. V. Poor, "Improving wireless physical-layer security via cooperating relay," IEEE Trans. Signal Process., vol. 58, no. 3, pp. 1875-1888, Mar. 2011.
10. T.-H. Chang, W.-C. Chiang, Y.-W. P. Hong, and C.-Y. Chi, "Training sequence design for discriminatory channel estimation in wireless MIMO systems," IEEE Trans. Signal Process., vol. 58, no. 12, pp. 6223-6237, Dec. 2010.
11. W.-C. Liao, T.-H. Chang, W.-K. Ma, and C.-Y. Chi, "QoS-based transmit beamforming in the presence of eavesdropper: An optimized artificialnoise-aided approach," IEEE Trans. Signal Process., vol. 59, no. 3, pp. 1202-1216, Mar. 2011.
12. G. Zheng, L.-C. Choo, and K.-K. Wong, "Optimal cooperative jamming to enhance physical-layer security using relays," IEEE Trans. Signal Process., vol. 59, no. 3, pp. 1317-1322, Mar. 2011.
13. J. Li, A. P. Petropulu, and S. Weber, "On cooperative relaying schemes for wireless physical-layer security," IEEE Trans. Signal Process., vol. 59, no. 10, pp. 4985-4997, Oct. 2011.
14. S. A. A. Fakoorian and A. L. Swindlehurst, "Solutions for the MIMO Gaussian wiretap channel with a cooperative jammer," IEEE Trans. Signal Process., vol. 59, no. 10, pp. 5013-5022, Oct. 2011.
15. J. Huang and A. L. Swindlehurst, "Cooperative jamming for secure communications in MIMO relay networks," IEEE Trans. Signal Process., vol. 59, no. 10, pp. 4871-4884, Oct. 2011.
16. S. A. A. Fakoorian and A. L. Swindlehurst, Optimal Power Allocation for GSVD-Based Beamforming in the MIMO Wiretap Channel, Jun. 2010. [Online]. Available: http://arxiv.org/abs/1006.1890
17. S. Shafiee and S. Ulukus, "Achievable rates in Gaussian MISO channels with secrecy constraints," in Proc. IEEE ISIT, Nice, France, Jun. 2007, pp. 2466-2470.
18. P. K. Gopala, L. Lai, and H. E. Gammal, "On the secrecy capacity of fading channels," IEEE Trans. Inf. Theory, vol. 54, no. 10, pp. 4687-4689, Oct. 2008.
19. X. Zhou and M. R. McKay, "Secure transmission with artificial noise over fading channels: Achievable rate and optimal power allocation," IEEE Trans. Veh. Technol., vol. 59, no. 8, pp. 3831-3842, Oct. 2010.
20. A. Mukherjee and A. L. Swindlehurst, "Robust beamforming for security in MIMO wiretap channels with imperfect CSI," IEEE Trans. Signal Process., vol. 59, no. 1, pp. 351-361, Jan. 2011.
21. S. Bashar, Z. Ding, and G. Y. Li, "On secrecy of codebook-based transmission beamforming under receiver-limited feedback," IEEE Trans.Wireless Commun., vol. 10, no. 4, pp. 1212-1223, Apr. 2011.
22. J. Li and A. P. Petropulu, "On ergodic secrecy capacity for Gaussian MISO wiretap channels," IEEE Trans. Wireless Commun., vol. 10, no. 4, pp. 1176-1187, Apr. 2011.
23. J. Li, A. P. Petropulu, and H. V. Poor, "On cooperative beamforming based on second-order statistic of channel-state information," IEEE Trans. Signal Process., vol. 59, no. 3, pp. 1280-1291, Mar. 2011.
24. J. Huang and A. L. Swindlehurst, "Robust secure transmission in MISO channels based on worst case optimization," IEEE Trans. Signal Process., vol. 60, no. 4, pp. 1696-1707, Apr. 2012.
25. A. Lozano, A. M. Tulino, and S. Verdú, "Optimum power allocation for parallel Gaussian channels with arbitrary input distributions," IEEE Trans. Inf. Theory, vol. 52, no. 7, pp. 3033-3051, Jul. 2006. (Pubitemid 44192966)
26. F. Gao, A. Nallanathan, and C. Tellambura, "Blind channel estimation for cyclic-prefixed single-carrier systems by exploiting real symbol characteristics," IEEE Trans. Veh. Technol., vol. 56, no. 1, pp. 2487-2498, Sep. 2007.
27. C. Xiao and Y. R. Zheng, "On the mutual information and power allocation for vector Gaussian channels with finite discrete inputs," in Proc. IEEE GLOBECOM, New Orleans, LA, Dec. 2008, pp. 1-5.
28. C. Xiao and Y. R. Zheng, "Transmit precoding for MIMO systems with partial CSI and discrete-constellation inputs," in Proc. IEEE ICC, Dresden, Germany, Jun. 2009, pp. 1-5.
29. F. Pérez-Cruz, M. R. D. Rodrigues, and S. Verdú, "MIMO Gaussian channels with arbitrary input: Optimal precoding and power allocation," IEEE Trans. Inf. Theory, vol. 56, no. 3, pp. 1070-1084, Mar. 2010.
30. J. Harshan and B. S. Rajan, "On two-user Gaussian multiple access channels with finite input constellations," IEEE Trans. Inf. Theory, vol. 57, no. 3, pp. 1299-1327, Mar. 2011.
31. G. Abhinav and B. S. Rajan, "Two-user Gaussian interference channel with finite constellation input and FDMA," in Proc. IEEE WCNC, Quintana-Roo, Mexico, Mar. 2011, pp. 25-30.
32. S. K. Mohammed, E. Viterbo, Y. Hong, and A. Chockalingam, "Precoding by pairing subchannels to increase MIMO capacity with discrete input alphabets," IEEE Trans. Inf. Theory, vol. 57, no. 7, pp. 4156-4169, Jul. 2011.
33. C. Xiao, Y. R. Zheng, and Z. Ding, "Globally optimal linear precoders for finite alphabet signals over complex vector Gaussian channels," IEEE Trans. Signal Process., vol. 59, no. 7, pp. 3301-3314, Jul. 2011.
34. M. R. D. Rodrigues, A. Somekh-Baruch, and M. Bloch, "On Gaussian wiretap channels with M-PAM inputs," in Proc. Eur. Wireless Conf., Lucca, Italy, Apr. 2010, pp. 774-781.
35. G. D. Raghava and B. S. Rajan, Secrecy Capacity of the Gaussian Wire-Tap Channel With Finite Complex Constellation, Oct. 2010. [Online]. Available: http://arxiv.org/abs/1010.1163v1
36. S. Bashar, Z. Ding, and C. Xiao, "On the secrecy rate of multiantenna wiretap channel under finite-alphabet input," IEEE Commun. Lett., vol. 15, no. 5, pp. 527-529, May 2011.
37. S. Bashar, Z. Ding, and C. Xiao, "On secrecy rate analysis ofMIMO wiretap channels driven by finite-alphabet input," IEEE Trans. Commun., accepted for publication. [Online]. Available: http://arxiv.org/abs/1104.1014
38. W. Zeng, C. Xiao, M. Wang, and J. Lu, "Linear precoding for finitealphabet inputs over MIMO fading channels with statistical CSI," IEEE Trans. Signal Process., vol. 60, no. 7, July 2012.
39. S. S. Christensen, R. Agarwal, E. de Carvlho, and J. M. Cioffi, "Weighted sum-rate maximization using weighted MMSE forMIMO-BC beamforming design," IEEE Trans. Wireless Commun., vol. 7, no. 12, pp. 4792-4799, Dec. 2008.
40. S. Boyd and L. Vandenberghe, Convex Optimization. New York: Cambridge Univ. Press, 2004.
41. D. P. Palomar and S. Verdú, "Gradient of mutual information in linear vector Gaussian channels," IEEE Trans. Inf. Theory, vol. 52, no. 1, pp. 141-154, Jan. 2006. (Pubitemid 43263124)
42. S. Serbetli and A. Yener, "Transceiver optimization for multiuser MIMO systems," IEEE Trans. Signal Process., vol. 52, no. 1, pp. 214-226, Jan. 2004.
43. J. Dumont, W. Hachem, S. Lasaulce, P. Loubaton, and J. Najim, "On the capacity achieving covariance matrix for Rician MIMO channels: An asymptotic approach," IEEE Trans. Inf. Theory, vol. 56, no. 3, pp. 1048-1069, Mar. 2010.
44. V. Veeravalli, Y. Liang, and A. M. Sayeed, "Correlated MIMO Rayleigh fading channels: Capacity, optimal signalling and asymptotics," IEEE Trans. Inf. Theory, vol. 51, no. 6, pp. 2058-2072, Jun. 2008.
45. A. M. Tulino, A. Lozano, and S. Verdú, "Capacity-achieving input covariance for single-user multiantenna channels," IEEE Trans. Wireless Commun., vol. 5, no. 3, pp. 662-671, Mar. 2006.
46. X. Gao, B. Jiang, X. Li, A. B. Gershman, and M. R. McKay, "Statistical eigenmode transmission over jointly correlated MIMO channels," IEEE Trans. Inf. Theory, vol. 55, no. 8, pp. 3735-3750, Aug. 2009.
47. T. M. Cover and J. A. Thomas, Elements of Information Theory, 2nd ed. New York: Wiley, 2006.
48. A. Hjørunges, Complex-Valued Matrix Derivatives. New York: Cambridge Univ. Press, 2011.
49. K. B. Petersen and M. S. Petersen, The Matrix Cookbook, Feb. 2007. [Online]. Available: http://www2.imm.dtu.dk/pubdb/p.php?3274
50. S. Goel and R. Negi, "Guaranteeing secrecy using artificial noise," IEEE Trans. Wireless Commun., vol. 7, no. 6, pp. 2180-2189, Jun. 2008.
51. R. A. Horn and C. R. Johnson, Matrix Analysis. New York: Cambridge Univ. Press, 1999.