Convex primal decomposition for multicarrier linear MIMO transceivers

IEEE Transactions on Signal Processing

Volumn 53, Issue 12, 2005, Pages 4661-4674

  Palomar, Daniel Pérez ^a  

^a Princeton University   (United States)

Author keywords

Convex optimization theory; Linear precoder; Majorization theory; Multicarrier transceiver; Multiple input multiple output (MIMO) channel; Primal decomposition technique; Schur convexity; Waterfilling

Indexed keywords

BIT ERROR RATE; COMMUNICATION CHANNELS (INFORMATION THEORY); MATHEMATICAL MODELS; MATRIX ALGEBRA; OPTIMIZATION; SIGNAL RECEIVERS; THEOREM PROVING; VECTORS;

CONVEX OPTIMIZATION THEORY; LINEAR PRECODER; MAJORIZATION THEORY; MULTICARRIER TRANSCEIVER; MULTIPLE INPUT MULTIPLE OUTPUT (MIMO) CHANNEL; PRIMAL DECOMPOSITION TECHNIQUE; SCHUR CONVEXITY; WATERFILLING;

TRANSCEIVERS;

EID: 29144480224     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2005.859241     Document Type: Article

References (45)

1. I. E. Telatar,"Capacity of multi-antenna Gaussian channels," Eur. Trans. Telecommun., vol. 10, no. 6, pp. 585-595, Nov.-Dec. 1999.
2. G. J. Foschini, "Layered space-time architecture for wireless communication in a fading environment when using multi-element antennas," Bell Labs Tech. J., vol. 1, no. 2, pp. 41-59, 1996.
3. G. G. Raleigh and J. M. Cioffi, "Spatio-temporal coding for wireless communication," IEEE Trans. Commun., vol. 46, no. 3, pp. 357-366, Mar. 1998.
4. G. Foschini and M. Gans, "On limits of wireless communications in a fading environment when using multiple antennas," Wireless Personal Commun., vol. 6, pp. 311-335, 1998.
5. M. L. Honig, K. Steiglitz, and B. Gopinath, "Multichannel signal processing for data communications in the presence of crosstalk," IEEE Trans. Commun., vol. 38, no. 4, pp. 551-558, Apr. 1990.
6. T. M. Cover and J. A. Thomas, Elements of Information Theory. New York: Wiley, 1991.
7. A. Scaglione, S. Barbarossa, and G. B. Giannakis, "Filterbank transceivers optimizing information rate in block transmissions over dispersive channels," IEEE Trans. Inform. Theory, vol. 45, no. 3, pp. 1019-1032, Apr. 1999.
8. K. H. Lee and D. P. Petersen, "Optimal linear coding for vector channels," IEEE Trans. Commun., vol. COM-24, no. 12, pp. 1283-1290, Dec. 1976.
9. J. Salz,"Digital transmission over cross-coupled linear channels," AT&T Tech. J., vol. 64. no. 6, pp. 1147-1159, Jul.-Aug, 1985.
10. J. Yang and S. Roy, "On joint transmitter and receiver optimization for multiple-input-multiple-output (MIMO) transmission systems," IEEE Trans. Commun., vol. 42, no. 12, pp. 3221-3231, Dec. 1994.
11. A. Scaglione, G. B. Giannakis, and S. Barbarossa, "Redundant filterbank precoders and equalizers. Part I: Unification and optimal designs," IEEE Trans. Signal Process., vol. 47, no. 7, pp. 1988-2006, Jul. 1999.
12. H. Sampath, P. Stoica, and A. Paulraj, "Generalized linear precoder and decoder design for MIMO channels using the weighted MMSE criterion," IEEE Trans. Commun., vol. 49, no. 12, pp. 2198-2206, Dec. 2001.
13. A. Mertins, "MMSE design of redundant FIR precoders for arbitrary channel lengths," IEEE Trans. Signal Process., vol. 51, no. 9, pp. 2402-2409, Sep. 2003.
14. J. Yang and S. Roy, "Joint transmitter-receiver optimization for multi-input multi-output systems with decision feedback," IEEE Trans. Inform. Theory, vol. 40, no. 5, pp. 1334-1347, Sep. 1994.
15. E. N. Onggosanusi, A. M. Sayeed, and B. D. V. Veen, "Efficient signaling schemes for wideband space-time wireless channels using channel state information," IEEE Trans. Veh. Technol., vol. 52, no. 1, pp. 1-13, Jan. 2003.
16. Y. Ding, T. N. Davidson, Z.-Q. Luo, and K. M. Wong, "Minimum BER block precoders for zero-forcing equalization," IEEE Trans. Signal Process., vol. 51, no. 9, pp. 2410-2423, Sep. 2003.
17. D. P. Palomar, J. M. Cioffi, and M. A. Lagunas, "Joint Tx-Rx beamforming design for multicarrier MIMO channels: A unified framework for convex optimization," IEEE Trans. Signal Process., vol. 51, no. 9, pp. 2381-2401, Sep. 2003.
18. Y.-P. Lin and S.-M. Phoong, "BER minimized OFDM systems with channel independent precoders," IEEE Trans. Signal Process., vol. 51, no. 9, pp. 2369-2380, Sep. 2003.
19. A. Hjorungnes, P. S. R. Diniz, and M. L. R. de Campos, "Jointly minimum BER transmitter and receiver FIR MIMO filters for binary signal vectors," IEEE Trans. Signal Process., vol. 52, no. 4, pp. 1021-1036, Apr. 2004.
20. Y.-P. Lin and S.-M. Phoong, "Optimal ISI-free DMT transceivers for distorted channels with colored noise," IEEE Trans. Signal Process., vol. 49, no. 11, pp. 2702-2712, Nov. 2001.
21. A. Pandharipande and S. Dasgupta, "Optimum DMT-based transceivers for multiuser communications," IEEE Trans. Commun., vol. 51, no. 12, pp. 2038-2046, Dec. 2003.
22. S. Dasgupta and A. Pandharipande, "Optimum biorthogonal DMT systems for multi-service communication," in Proc. 2003 IEEE Int. Conf. Acoustics, Speech, and Signal Processing (ICASSP - 2003), vol. IV, Hong Kong, Apr. 6-10, 2003, pp. 552-555.
23. A. W. Marshall and I. Olkin, Inequalities: Theory of Majorization and Its Applications. New York: Academic, 1979.
24. D. P. Palomar, M. Bengtsson, and B. Ottersten, "Minimum BER linear transceivers for MIMO channels via primal decomposition," IEEE Trans. Signal Process., vol. 53, no. 8, pp. 2866-2822, Aug. 2005.
25. L. S. Lasdon, Optimization Theory for Large Systems. New York: Macmillian, 1970.
26. N. Z. Shor, Minimization Methods for Non-Differentiable Functions. Berlin, Germany: Springer-Verlag, 1985.
27. D. P. Bertsekas and J. N. Tsitsiklis, Parallel and Distributed Computation: Numerical Methods. Englewood Cliffs, NJ: Prentice-Hall, 1989.
28. D. P. Bertsekas, Nonlinear Programming, 2nd ed. Belmont, MA: Athena Scientific, 1999.
29. D. P. Palomar, M. A. Lagunas, and J. M. Cioffi, "Optimum linear joint transmit-receive processing for MIMO channels with QoS constraints," IEEE Trans. Signal Process., vol. 52, no. 5, pp. 1179-1197, May 2004.
30. S. Benedetto and E. Biglieri, Principles of Digital Transmission: With Wireless Applications. New York: Kluwer, 1999.
31. S. Verdú, Multiuser Detection. New York: Cambridge Univ. Press, 1998.
32. D. P. Palomar, "A unified framework for communications through MIMO channels," Ph.D. dissertation, Technical Univ. Catalonia (UPC), Barcelona, Spain, 2003.
33. S. M. Kay, Fundamentals of Statistical Signal Processing: Estimation Theory. Englewood Cliffs, NJ: Prentice-Hall, 1993.
34. S. Boyd and L. Vandenberghe, Convex Optimization. Cambridge, U.K.: Cambridge Univ. Press, 2004.
35. L. Xiao, M. Johansson, and S. Boyd, "Simultaneous routing and resource allocation via dual decomposition," IEEE Trans. Commun., vol. 52, no. 7, pp. 1136-1144, Jul. 2004.
36. W. Yu, "A dual decomposition approach to the sum power Gaussian vector multiple access channel sum capacity problem," in Proc. 37th IEEE Annu. Conf. Information Sciences and Systems (CISS-2003), Baltimore, MD. Mar. 2003.
37. P. Viswanath and V. Anantharam, "Optimal sequences and sum capacity of synchronous CDMA systems," IEEE Trans. Inform. Theory, vol. 45. no. 6, pp. 1984-1991, Sep. 1999.
38. D. P. Palomar and J. R. Fonollosa, "Practical algorithms for a family of waterfilling solutions," IEEE Trans. Signal Process., vol. 53, no. 2, pp. 686-695, Feb. 2005.
39. H. Sampath, "Linear precoding and decoding for multiple input multiple output MIMO wireless channels," Ph.D. dissertation, Stanford Univ., Stanford, CA, 2001.
40. A. Scaglione, P. Stoica, S. Barbarossa, G. B. Giannakis, and H. Sampath, "Optimal designs for space-time linear precoders and decoders," IEEE Trans. Signal Process., vol. 50, pp. 1051-1064, May 2002.
41. J.-L. Goffin and J.-P. Vial, "Convex nondifferentiable optimization: A survey focussed on the analytic center cutting plane method," Dept. Management Studies, Univ. Geneva, Geneva, Switzerland, 1999.
42. D. P. Bertsekas, A. Nedic, and A. E. Ozdaglar, Convex Analysis and Optimization. Belmont, MA: Athena Scientific, 2003.
43. J.-B. Hiriart-Urruty and C. Lemaréchal, Convex Analysis and Minimization Algorithms I. New York: Springer-Verlag, 1993.
44. J. G. Proakis, Digital Communications, 3rd ed. New York: McGraw-Hill, 1995.
45. K. Cho and D. Yoon, "On the general BER expression of one- and two-dimensional amplitude modulations," IEEE Trans. Commun., vol. 50, no. 7, pp. 1074-1080, Jul. 2002.