EE6140 Multi-Antenna Digital Communications (Jul-Nov 2019)


Srikrishna Bhashyam
Office: NAC 343
Phone: 2257 4439

Class Timings

A Slot (Mon: 8-8.50 am, Tue: 12-12.50 pm, Thu: 11-11.50 am, Fri: 10-10.50 am)


Quiz I : 20% (Sep 9, 2019)
Project & Assignments : 30%
Final Exam : 50% (Nov 15, 2019)

Course content

Preliminaries: Review of Gaussian random variables and vectors, Complex Gaussian random vectors, Detection in Gaussian noise, Probability of error, union bound, some definitions and results from Information theory

Capacity of the vector Gaussian or MIMO channel, Ergodic Capacity of multi-antenna Gaussian channels with Rayleigh fading, Outage capacity of multi-antenna Gaussian channels with fading

Spatial multiplexing: V-BLAST

Space-time codes: Design criteria, Alamouti code, Orthogonal designs, Quasi-orthogonal space-time codes, Diversity-multiplexing gain trade-off

MISO capacity with Per-Antenna Power Constraint

MIMO capacity with feedback: Long-term and short-term power constraints, delay-limited capacity

Multiuser MIMO capacity: Multiple access

Hybrid Precoding for point-to-point mmWave MIMO

MIMO Broadcast: Dirty Paper Coding, Linear Precoding

Lecture Notes
2019 Lecture Notes

Course Notes (2012 version)

Part 1

Part 2

Reference Papers, Book Chapters

[1] Telatar, E. (1999) Capacity of multi-antenna Gaussian channels. European Transactions on Telecommunications, 10(6) pp. 585-596.
[2] G. J. Foschini, Layered space-time architecture for wireless communication in a fading environment when using multi-element antennas, Bell Labs Technical Journal, 1(2), 1996, 41-59.
[3] G. J. Foschini and M. J. Gans, On limits of wireless communication in a fading environment when using multiple antennas, Wireless Personal Communications, 6(3), 1998, 311-335.
[4] P. W. Wolniansky, G. J. Foschini, G. D. Golden and R. A. Valenzuela, V-BLAST: an architecture for realizing very high data rates over the rich-scattering wireless channel, Proceedings of the URSI International Symposium on Signals, Systems, and Electronics Conference, New York, 1998, pp. 295-300.
[5] Golden, G.D.; Foschini, C.J.; Valenzuela, R.A.; Wolniansky, P.W.; , "Detection algorithm and initial laboratory results using V-BLAST space-time communication architecture," Electronics Letters , vol.35, no.1, pp.14-16, 7 Jan 1999.
[6] Tarokh, V.; Seshadri, N.; Calderbank, A.R.; , "Space-time codes for high data rate wireless communication: performance criterion and code construction," Information Theory, IEEE Transactions on , vol.44, no.2, pp.744-765, Mar 1998
[7] Alamouti, S.M.; , "A simple transmit diversity technique for wireless communications ," Selected Areas in Communications, IEEE Journal on , vol.16, no.8, pp.1451-1458, Oct 1998.
[8] Tarokh, V.; Jafarkhani, H.; Calderbank, A.R.; , "Space-time block codes from orthogonal designs," Information Theory, IEEE Transactions on , vol.45, no.5, pp.1456-1467, Jul 1999.
[9] Jafarkhani, H.; , "A quasi-orthogonal space-time block code," Communications, IEEE Transactions on , vol.49, no.1, pp.1-4, Jan 2001.
[10] Lizhong Zheng; Tse, D.N.C.; , "Diversity and multiplexing: a fundamental tradeoff in multiple-antenna channels," Information Theory, IEEE Transactions on , vol.49, no.5, pp. 1073- 1096, May 2003.
[11] Mai Vu; , "MISO Capacity with Per-Antenna Power Constraint," Communications, IEEE Transactions on , vol.59, no.5, pp.1268-1274, May 2011
[12] Biglieri, E.; Caire, G.; Taricco, G.; , "Limiting performance of block-fading channels with multiple antennas," Information Theory, IEEE Transactions on , vol.47, no.4, pp.1273-1289, May 2001.
[14] Wei Yu; Wonjong Rhee; Boyd, S.; Cioffi, J.M.; , "Iterative water-filling for Gaussian vector multiple-access channels," Information Theory, IEEE Transactions on , vol.50, no.1, pp. 145- 152, Jan. 2004.
[15] Wonjong Rhee; Cioffi, J.M.; , "On the capacity of multiuser wireless channels with multiple antennas," Information Theory, IEEE Transactions on , vol.49, no.10, pp. 2580- 2595, Oct. 2003.
[16] O. E. Ayach, S. Rajagopal, S. Abu-Surra, Z. Pi and R. W. Heath, "Spatially Sparse Precoding in Millimeter Wave MIMO Systems," in IEEE Transactions on Wireless Communications, vol. 13, no. 3, pp. 1499-1513, March 2014.
[17] G. Caire and S. Shamai, "On the achievable throughput of a multiantenna Gaussian broadcast channel," in IEEE Transactions on Information Theory, vol. 49, no. 7, pp. 1691-1706, July 2003.
[18] A. D. Dabbagh and D. J. Love, "Precoding for Multiple Antenna Gaussian Broadcast Channels With Successive Zero-Forcing," in IEEE Transactions on Signal Processing, vol. 55, no. 7, pp. 3837-3850, July 2007.


[1] D. Tse, P. Viswanath, "Fundamentals of Wireless Communication," Cambridge University Press, 2005.
[2] H. Jafarkhani, "Space-Time Coding: Theory and Practice," Cambridge University Press, 2005.
[3] E. Biglieri, R. Calderbank, A. Constantinides, A. Goldsmith, A. Paulraj, H. V. Poor, "MIMO Wireless Communications," Cambridge University Press, 2007.
[4] H. Huang, C. B. Papadias, S. Venkatesan, "MIMO Communication for Cellular Networks," Springer, 2012.
[5] A. Goldsmith, "Wireless Communications," Cambridge University Press, 2005.
[6] J. Choi, "Optimal Combining and Detection: Statistical Signal Processing for Communications," Cambridge University Press, 2010.
[7] L. Sanguinetti and H. Vincent Poor, 'Fundamentals of Multi-User MIMO Communications', Chapter 6 in New Directions in Wireless Communications Research, Springer 2009.

Papers for Projects

Click here