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A MIMO system with finite-bit feedback based on fixed constellations

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Abstract

In this paper, a MIMO system with finite-bit feedback based on fixed constellations is considered. Based on performance analysis of the system, an optimal operating system with maximum-likelihood decoding is demonstrated. Surprisingly, this operation reveals that the optimal way for the system to transmit signals needs to invoke the multimode scheme. We propose designing criteria for this scheme and methods for pre-codebooks, and a method to determine the number of modes for any specific channel. Furthermore, to reduce encoding complexity at the receiver side, we also develop a fast encoding algorithm. Theoretical analysis and simulations show that the proposed systems offer considerable gain over existing systems. Moreover, these systems also have much lower encoding complexity. Indeed, for the case of a MIMO system with two pairs of transmitting and receiving antennas, a properly designed system with a transmission rate of 8 bits per channel use and with 6-bit feedback can provide about a 1.5 dB performance gain over a beamforming system.

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References

  1. Goldsmith A, Jafar S A, Jindal N, et al. Capacity limits of MIMO channels. IEEE J Sel Area Comm, 2003, 21: 684–702

    Article  Google Scholar 

  2. Visotsky E, Madhow U. Space-time transmit precoding with imperfect feedback. IEEE Trans Inform Theory, 2003, 47: 2632–2639

    Article  MathSciNet  Google Scholar 

  3. Blum R S. MIMO with limited feedback of channel state information. In: Proceedings of IEEE International Conference on Acoustics, Speech, and Signal Processing. Hong Kong: IEEE, 2003. 89–92

    Google Scholar 

  4. Zhou S, Giannakis G B. Adaptive modulation for multiantenna transmissions with channel mean feedback. IEEE Trans Wirel Commun, 2004, 3: 1626–1636

    Article  Google Scholar 

  5. Zhang L, Wu G, Li S Q. Capacity bounds of transmit beamforming over MISO time-varying channels with imperfect feedback. Sci China Inf Sci, 2010, 53: 1417–1430

    Article  MathSciNet  Google Scholar 

  6. Love D J, Heath R W, Lau V K N, et al. An overview of limited feedback in wireless communication systems. IEEE J Sel Area Comm, 2008, 26: 1341–1365

    Article  Google Scholar 

  7. Lau K N, Liu Y, Chen T A. On the design of MIMO blockfading channels with feedback-link capacity constraint. IEEE Trans Commun, 2004, 52: 62–70

    Article  Google Scholar 

  8. Roh J C, Rao B D. Multiple antenna channels with partial channel state information at the transmitter. IEEE Trans Wirel Commun, 2004, 3: 677–688

    Article  Google Scholar 

  9. Roh J C, Rao B D. Transmit beamforming in multiple-antenna systems with finite rate feedback: a VQ-based approach. IEEE Trans Inform Theory, 2006, 52: 1101–1112

    Article  MathSciNet  Google Scholar 

  10. Roh J C, Rao B D. Design and analysis of MIMO spatial multiplexing systems with quantized feedback. IEEE Trans Signal Proces, 2006, 54: 2874–2886

    Article  Google Scholar 

  11. Zheng J, Duni E R, Rao B D. Analysis of multiple-antenna systems with finite-rate feedback using high-resolution quantization theory. IEEE Trans Signal Proces, 2007, 55: 1462–1476

    MathSciNet  MATH  Google Scholar 

  12. Xia P, Giannakis G B. Design and analysis of transmit-beamforming based on limited-rate feedback. IEEE Trans Signal Proces, 2006, 54: 1853–1863

    Article  Google Scholar 

  13. Jafar S A, Srinivasa S. On the optimality of beamforming with quantized feedback. IEEE Trans Commun, 2007, 55: 2288–2302

    Article  Google Scholar 

  14. Mukkavilli K K, Sabharwal A, Erkip E, et al. On beamforming with finite rate feedback in multiple-antenna systems. IEEE Trans Inform Theory, 2003, 49: 2562–2579

    Article  MathSciNet  Google Scholar 

  15. Narula A, Lopez M J, Trott M D, et al. Efficient use of side information in multiple-antenna data transmission over fading channels. IEEE J Sel Area Comm, 1998, 16: 1423–1436

    Article  Google Scholar 

  16. Love D J, Heath R W, Strohmer Jr T. Grassmannian beamforming for multiple-input, multiple-output wireless systems. IEEE Trans Inform Theory, 2003, 49: 2735–2747

    Article  MathSciNet  Google Scholar 

  17. Lin M, Li M, Yang L X, et al. Combined adaptive beamforming with space-time block coding for multi-antenna communications. Sci China Ser F-Inf Sci, 2008, 51: 2062–2073

    Article  MathSciNet  Google Scholar 

  18. Love D J, Heath Jr R W. Limited feedback unitary precoding for orthogonal space-time block codes. IEEE Trans Signal Proces, 2005, 53: 64–73

    Article  MathSciNet  Google Scholar 

  19. Xia P, Zhou S, Giannakis G B. Multiantenna adaptive modulation with beamforming based on bandwith-constrained feedback. IEEE Trans Commun, 2005, 53: 526–536

    Article  Google Scholar 

  20. Zhou S, Wang Z, Giannakis G B. Quantifying the power-loss when transmit-beamforming relies on finite rate feedback. IEEE Trans Wirel Commun, 2005, 4: 1948–1957

    Article  Google Scholar 

  21. Zhou S, Li B. BER criterion and codebook construction for finite-rate precoded spatial multiplexing. In: IEEE 6th Workshop on Signal Processing Advances in Wireless Communications. New York: IEEE, 2005. 66–70

    Google Scholar 

  22. Wang H, Yang E-H. On Space-time coding with finite-bit feedback. In: 10th Canadian Workshop on Information Theory. Edmonton, 2007. 124–127

    Google Scholar 

  23. Love D J, Heath R W. Multimode precoding for MIMO wireless systems. IEEE Trans Signal Proces, 2005, 53: 3674–3687

    Article  MathSciNet  Google Scholar 

  24. Song X F, Lee H-N. Multimode precoding for MIMO systems: performance bounds and limited feedback codebook design. IEEE Trans Signal Proces, 2008, 55: 5296–5301

    Article  MathSciNet  Google Scholar 

  25. Shin M, Kim S, Kang J W. An efficient multimode quantized precoding technique for MIMO wireless systems. IEEE Trans Veh Technol, 2009, 58: 733–743

    Article  Google Scholar 

  26. Ordonez L G, Palomar D P, Zamora A P, et al. Minimum BER linear MIMO transceivers with adaptive number of substreams. IEEE Trans Signal Proces, 2009, 57: 2336–2353

    Article  Google Scholar 

  27. Dhillon I S, Heath Jr R W, Strohmer T, et al. Constructing parking in Grassmannian manifolds via alternating projection. Exp Math, 2008, 17: 9–35

    Article  MathSciNet  MATH  Google Scholar 

  28. Wang H. Space-time codes for MIMO systems. PhD Thesis. Newark: University of Delaware, 2005. 71–94

    Google Scholar 

  29. Hochwald B M, Marzetta T L, Richardson T J, et al. Systematic design of unitary space-time constellations. IEEE Trans Inform Theory, 2000, 46: 1962–1973

    Article  MATH  Google Scholar 

  30. Roh J C, Rao B D. Efficient feedback for MIMO channels based on parameterizations. IEEE Trans Wirel Commun, 2007, 6: 282–292

    Article  Google Scholar 

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Authors and Affiliations

  1. School of Communications Engineering, Hangzhou Dianzi University, Hangzhou, 310018, China

    HaiQuan Wang & ZhiJin Zhao

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  1. HaiQuan Wang
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  2. ZhiJin Zhao
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Correspondence to HaiQuan Wang.

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Wang, H., Zhao, Z. A MIMO system with finite-bit feedback based on fixed constellations. Sci. China Inf. Sci. 56, 1–14 (2013). https://doi.org/10.1007/s11432-011-4528-9

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  • DOI: https://doi.org/10.1007/s11432-011-4528-9

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