Capacity Analysis of One-Bit Quantized MIMO Systems with Transmitter Channel State Information

IEEE Transactions on Signal Processing

Volumn 63, Issue 20, 2015, Pages 5498-5512

  Mo, Jianhua ^a   Heath, Robert W ^a  

^a The University of Texas at Austin   (United States)

Author keywords

Analog to digital convertor; millimeter wave; MIMO channel; one bit quantization

Indexed keywords

ANALOG TO DIGITAL CONVERSION; BLIND EQUALIZATION; CHANNEL CAPACITY; CHANNEL ESTIMATION; CHANNEL STATE INFORMATION; COMMUNICATION CHANNELS (INFORMATION THEORY); MILLIMETER WAVES; MIMO SYSTEMS; RECEIVING ANTENNAS; TRANSMITTERS;

ANALOG-TO-DIGITAL CONVERTORS; MIMO CHANNEL; MULTIPLE INPUT SINGLE OUTPUTS; MULTIPLE-INPUT MULTIPLE-OUTPUT CHANNELS; ONE-BIT QUANTIZATION; SINGLE INPUT MULTIPLE OUTPUTS; TRANSMITTER AND RECEIVER; TRANSMITTER CHANNELS;

SIGNAL TO NOISE RATIO;

EID: 84959378939     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2015.2455527     Document Type: Article

References (59)

1. J. Mo and R. W. Heath, Jr., "High SNR capacity of millimeter wave MIMO systems with one-bit quantization," in Proc. Inf. Theory Appl. (ITA) Workshop, Feb. 2014, pp. 1-5.
2. T. Baykas, C.-S. Sum, Z. Lan, J. Wang, M. Rahman, H. Harada, S. Kato, "IEEE 802.15.3c: The first IEEE wireless standard for data rates over 1 Gb/s," IEEE Commun. Mag., vol. 49, no. 7, pp. 114-121, Jul. 2011.
3. A. Ghosh, T. Thomas, M. Cudak, R. Ratasuk, P. Moorut, F. Vook et al., "Millimeter-wave enhanced local area systems: a high-data-rate approach for future wireless networks," IEEE J. Sel. Areas Commun., vol. 32, no. 6, pp. 1152-1163, Jun. 2014.
4. T. Rappaport, S. Sun, R. Mayzus, H. Zhao, Y. Azar, K. Wang et al., "Millimeter wave mobile communications for 5G cellular: It will work!," IEEE Access, vol. 1, pp. 335-349, 2013.
5. W. Hong, K.-H. Baek, Y. Lee, Y. Kim, S.-T. Ko, "Study and prototyping of practically large-scale mmWave antenna systems for 5G cellular devices," IEEE Commun. Mag., vol. 52, no. 9, pp. 63-69, Sep. 2014.
6. Wilocity Chipsets [Online]. Available: http://wilocity.com/products/chipsets
7. S. Rangan, T. Rappaport, E. Erkip, "Millimeter-wave cellular wireless networks: Potentials and challenges," Proc. IEEE, vol. 102, no. 3, pp. 366-385, Mar. 2014.
8. R. Walden, "Analog-to-digital converter survey and analysis," IEEE J. Sel. Areas Commun., vol. 17, no. 4, pp. 539-550, 1999.
9. B. Murmann, ADC Performance Survey 1997-2015 [Online]. Available: http://www.stanford.edu/murmann/adcsurvey.html
10. B. Le, T. Rondeau, J. Reed, C. Bostian, "Analog-to-digital converters," IEEE Signal Process. Mag., vol. 22, no. 6, pp. 69-77, 2005.
11. Texas Instruments ADC Products [Online]. Available: http://www.ti. com/lsds/ti/data-converters/analog-to-digital-converter-products.page
12. S. Vitali, G. Cimatti, R. Rovatti, G. Setti, "Adaptive time-interleaved ADC offset compensation by nonwhite data chopping," IEEE Trans. Circuits Syst. II, vol. 56, no. 11, pp. 820-824, 2009.
13. S. Ponnuru, M. Seo, U. Madhow, M. Rodwell, "Joint mismatch and channel compensation for high-speed OFDM receivers with time-interleaved ADCs," IEEE Trans. Commun., vol. 58, no. 8, pp. 2391-2401, 2010.
14. H. Witsenhausen, "Some aspects of convexity useful in information theory," IEEE Trans. Inf. Theory, vol. 26, no. 3, pp. 265-271, May 1980.
15. J. Singh, O. Dabeer, U. Madhow, "On the limits of communication with low-precision analog-to-digital conversion at the receiver," IEEE Trans. Commun., vol. 57, no. 12, pp. 3629-3639, 2009.
16. A. Mezghani and J. Nossek, "Analysis of rayleigh-fading channels with 1-bit quantized output," in Proc. IEEE Int. Symp. Inf. Theory, 2008, pp. 260-264.
17. A. Mezghani and J. Nossek, "On ultra-wideband MIMO systems with 1-bit quantized outputs: Performance analysis and input optimization," in Proc. IEEE Int. Symp. Inf. Theory, 2007, pp. 1286-1289.
18. J. G. Proakis, Digital Communications. New York, NY, USA: Mc-Graw-Hill, 2008.
19. B. Murray and I. Collings, "AGC and quantization effects in a zeroforcing MIMO wireless system," in Proc. IEEE 63rd Veh. Technol. Conf., May 2006, vol. 4, pp. 1802-1806.
20. J. A. Nossek and M. T. Ivrlac, "Capacity and coding for quantized MIMO systems," in Proc. 2006 ACM Int. Conf. Wireless Commun. Mobile Compu., Ser. IWCMC'06, New York, NY, USA, 2006, pp. 1387-1392.
21. M. Ivrlac and J. Nossek, "Challenges in coding for quantized MIMO systems," in Proc. IEEE Int. Symp. Inf. Theory, Jul. 2006, pp. 2114-2118.
22. O. Dabeer and U. Madhow, "Channel estimation with low-precision analog-to-digital conversion," in Proc. IEEE Int. Conf. Commun. (ICC), 2010, pp. 1-6.
23. G. Zeitler, G. Kramer, A. Singer, "Bayesian parameter estimation using single-bit dithered quantization," IEEE Trans. Signal Process., vol. 60, no. 6, pp. 2713-2726, 2012.
24. T. Lok and V.-W. Wei, "Channel estimation with quantized observations," in Proc. IEEE Int. Symp. Inf. Theory, Aug. 1998, p. 333.
25. M. T. Ivrlac and J. A. Nossek, "On MIMO channel estimation with single-bit signal-quantization," presented at the ITG Smart Antenna Workshop, Vienna, Austria, Feb. 2007.
26. A. Mezghani, F. Antreich, J. Nossek, "Multiple parameter estimation with quantized channel output," in Proc. Int. ITG Workshop Smart Antennas (WSA), 2010, pp. 143-150.
27. S. Jacobsson, G. Durisi, M. Coldrey, U. Gustavsson, C. Studer, "One-bit massive MIMO: Channel estimation and high-order modulations," Apr. 2015, arXiv preprint arXiv:1504.04540 [Online]. Available: http://arxiv.org/abs/1504.04540
28. A. Mezghani and J. Nossek, "Efficient reconstruction of sparse vectors from quantized observations," in Proc. Int. ITG Workshop Smart Antennas (WSA), Mar. 2012, pp. 193-200.
29. L. Jacques, J. Laska, P. Boufounos, R. Baraniuk, "Robust 1-bit compressive sensing via binary stable embeddings of sparse vectors," IEEE Trans. Inf. Theory, vol. 59, no. 4, pp. 2082-2102, Apr. 2013.
30. C.-K. Wen, C.-J. Wang, S. Jin, K.-K. Wong, P. Ting, "Bayes-optimal joint channel-and-data estimation for massive MIMO with low-precision ADCs," 2015, arXiv preprint arXiv:1507.07766 [Online]. Available: http://arxiv.org/abs/1507.07766
31. J. Mo, P. Schniter, N. G. Prelcic, R. W. Heath, Jr., "Channel estimation in millimeter wave MIMO systems with one-bit quantization," in Proc. 48th Asilomar Conf. Signals, Syst. Comput., Nov. 2014, pp. 957-961.
32. Q. Bai and J. Nossek, "Energy efficiency maximization for 5G multiantenna receivers," Trans. Emerg. Telecommun. Technol., vol. 26, no. 1, pp. 3-14, 2014.
33. A. Mezghani, M. Rouatbi, J. Nossek, "An iterative receiver for quantized MIMO systems," in Proc. 16th IEEE Mediterranean Electrotechnic. Conf. (MELECON), Mar. 2012, pp. 1049-1052.
34. T. Shah and O. Dabeer, "Optimal subcarrier power allocation for OFDM with low precision ADC at receiver," IEEE Trans. Commun., vol. 61, no. 11, pp. 4591-4601, Nov. 2013.
35. S. Wang, Y. Li, J. Wang, "Multiuser detection in massive spatial modulation MIMO with low-resolution ADCs," IEEE Trans. Wireless Commun., vol. 14, no. 4, pp. 2156-2168, Apr. 2015.
36. O. Orhan, E. Erkip, S. Rangan, "Low power analog-to-digital conversion in millimeter wave systems: Impact of resolution and bandwidth on performance," in Proc. Inf. Theory Applicant. (ITA) Workshop, 2015, pp. 1-8.
37. A. Mezghani, M.-S. Khoufi, J. A. Nossek, "A modified MMSE receiver for quantized MIMO systems," presented at the ITG/IEEE WSA, Vienna, Austria, 2007.
38. A. Mezghani and J. Nossek, "Capacity lower bound of MIMO channels with output quantization and correlated noise," in Proc. IEEE Int. Symp. Inf. Theory Process. (ISIT), 2012.
39. G. Zeitler, A. Singer, G. Kramer, "Low-precision A/D conversion for maximum information rate in channels with memory," IEEE Trans. Commun., vol. 60, no. 9, pp. 2511-2521, 2012.
40. M. Lu, N. Shanbhag, A. Singer, "BER-optimal analog-to-digital converters for communication links," in Proc. IEEE Int. Symp. Circuits Syst. (ISCAS), 2010, pp. 1029-1032.
41. R. Narasimha, M. Lu, N. Shanbhag, A. Singer, "BER-optimal analog-to-digital converters for communication links," IEEE Trans. Signal Process., vol. 60, no. 7, pp. 3683-3691, 2012.
42. T. Sundstrom, B. Murmann, C. Svensson, "Power dissipation bounds for high-speed Nyquist analog-to-digital converters," IEEE Trans. Circuits Syst. I, vol. 56, no. 3, pp. 509-518, 2009.
43. J. Singh, S. Ponnuru, U. Madhow, "Multi-gigabit communication: the ADC bottleneck," in Proc. IEEE Int. Conf. Ultra-Wideband, 2009, pp. 22-27.
44. O. Dabeer, J. Singh, U. Madhow, "On the limits of communication performance with one-bit analog-to-digital conversion," in Proc. IEEE 7th Workshop Signal Process. Adv. Wireless Commun., 2006, pp. 1-5.
45. T. M. Cover and J. A. Thomas, Elements of Information Theory. New York, NY, USA: Wiley, 2012.
46. R. O. Winder, "Single stage threshold logic," in Proc. 2nd Annu. Symp. Switch. Circuit Theory Logic. Design, Oct. 1961, pp. 321-332.
47. J. G. Wendel, "A problem in geometric probability," Math. Scand., vol. 11, pp. 109-111, 1962.
48. T. Cover, "Geometrical and statistical properties of systems of linear inequalities with applications in pattern recognition," IEEE Trans. Electron. Comput., vol. EC-14, no. 3, pp. 326-334, Jun. 1965.
49. L. Flatto, "A new proof of the transposition Theorem," Proc. Amer. Math. Soc., vol. 24, no. 1, pp. 29-31, 1970.
50. S. P. Boyd and L. Vandenberghe, Convex Optimization. Cambridge, U.K.: Cambridge Univ. Press, 2004.
51. L. L. Dines, "Systems of linear inequalities," Ann. Math. vol. 20, no. 3, pp. 191-199, 1919 [Online]. Available: http://www.jstor.org/stable/1967869
52. G. B. Dantzig and B. C. Eaves, "Fourier-Motzkin Elimination and its dual," J. Combinator. Theory, ser. A, vol. 14, no. 3, pp. 288-297, 1973.
53. R. Blahut, "Computation of channel capacity and rate-distortion functions," IEEE Trans. Inf. Theory, vol. 18, no. 4, pp. 460-473, 1972.
54. T. S. Rappaport, R. W. Heath, Jr., R. C. Daniels, J. N. Murdock, Millimeter Wave Wireless Communications. Englewood Cliffs, NJ, USA: Prentice-Hall, 2015.
55. C. A. Balanis, Antenna Theory: Analysis and Design. NewYork,NY, USA: Wiley, 2012.
56. J. Huang and S. Meyn, "Characterization and computation of optimal distributions for channel coding," IEEE Trans. Inf. Theory, vol. 51, no. 7, pp. 2336-2351, 2005.
57. S. Krone and G. Fettweis, "Capacity of communications channels with 1-bit quantization and oversampling at the receiver," in Proc. 35th IEEE Sarnoff Symp. (SARNOFF), 2012, pp. 1-7.
58. E. Baccarelli, "Evaluation of the reliable data rates supported by multiple-antenna coded wireless links for QAM transmissions," IEEE J. Sel. Areas Commun., vol. 19, no. 2, pp. 295-304, 2001.
59. P. Boufounos and R. Baraniuk, "1-bit compressive sensing," in 42nd Annu. Conf. Inf. Sci. Syst., Mar. 2008, pp. 16-21.