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Optimization of Feedback for Adaptive MIMO Transmissions Over Time Varying Channels

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Abstract

This paper studies the capacity issue of adaptive multiple-input-multiple-output (MIMO) transmissions with channel state information (CSI) feedback over a time-varying channel which is modeled as time-correlated blocks. The CSI is estimated at the receiver and fed back periodically to the transmitter to enable adaptive transmissions. With the objective to maximize the ergodic capacity, a CSI-feedback strategy is proposed based on the optimization of following two parameters. (1) The bit number for the quantization of each CSI and (2) the time interval to refresh the CSI. The first parameter determines the accuracy of the quantization and the latter one deal with the time variation of the channel. The optimization is conducted under a given feedback-capacity constraint i.e., the maximum number of feedback bits per block is fixed in average. A theoretical result is derived and numerical results are presented to show the effectiveness of the proposed strategy.

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References

  1. Foschini G.J. (1996) Layered space-time architecture for wireless communication in fading environments when using multi-element antennas. Bell Labs Technical Journal, 1: 41–59

    Article  Google Scholar 

  2. Foschini G. J., Gans M. J. (1998) On limits of wireless communications in a fading environment when using multiple antennas. Wireless Personal Communications 6(3): 311–335

    Article  Google Scholar 

  3. Telatar I. E. (1999) Capacity of multi-antenna Gaussian channels. European Transactions on Telecommunications 10(6): 585–595

    Article  Google Scholar 

  4. Roh J. C., Rao B. D. (2004) Multiple antenna channels with partial channel state information at the transmitter. IEEE Transactions on Wireless Communications 3(2): 677–688

    Article  Google Scholar 

  5. Lau V., Liu Y., Chen T. A. (2004) On the design of MIMO block-fading channels with feedback-link capacity constraint. IEEE Transactions on Communications 52(1): 62–70

    Article  Google Scholar 

  6. Samardzija D., Mandayam N. (2003) Pilot-assisted estimation of MIMO fading channel response and achievable data rates. IEEE Transactions on Signal Processing 51(11): 2882–2890

    Article  MathSciNet  Google Scholar 

  7. Hassibi B., Hochwald B. M. (2003) How much training is needed in multiple-antenna wireless links? IEEE Transactions on Information Theory 49(4): 951–963

    Article  MATH  Google Scholar 

  8. Onggosanusi E. N., Gatherer A., Dabak A. G., Hosur S. (2001) Performance analysis of closed-loop transmit diversity in the presence of feedback delay. IEEE Transactions on Communications 49(9): 1618–1630

    Article  MATH  Google Scholar 

  9. Love D. J., Heath R. W. Jr., Strohmer T. (2003) Grassmannian beamforming for multiple-input multiple-output wireless systems. IEEE Transactions on Information Theory 49: 2735–2747

    Article  Google Scholar 

  10. Mukkavilli K. K., Sabharwal A., Erkip E., Aazhang B. (2003) On beamforming with finite rate feedback in multiple antenna systems. IEEE Transactions on Information Theory 49: 2562–2579

    Article  MathSciNet  Google Scholar 

  11. Zhou S., Wang W., Giannakis G. B. (2005) Quantifying the power loss when transmit beamforming relies on finite-rate feedback. IEEE Transactions on Wireless Communications 4(7): 1948–1957

    Article  Google Scholar 

  12. Larsson E. G., Ganesan G., Stoica P., Wong W.-H. (2002) On the performance of orthogonal space-time block coding with quantized feedback. IEEE Communications Letters 6: 487–489

    Article  Google Scholar 

  13. Love D. J., Heath R. W. Jr. (2005) Limited feedback unitary precoding for orthogonal space-time block codes. IEEE Transactions on Signal Processing 53: 64–73

    Article  MathSciNet  Google Scholar 

  14. Akhtar J., Gesbert D. (2004) Extending orthogonal block codes with partial feedback. IEEE Transactions on Wireless Communications, 3: 1959–1962

    Article  Google Scholar 

  15. Love D. J., Heath R. W. Jr. (2005) Limited feedback unitary precoding for spatial multiplexing systems. IEEE Transactions on Information Theory 51: 2967–2976

    Article  MathSciNet  Google Scholar 

  16. Zhang D., Wei G., Zhu J., Tian Z. (2007) On the bounds of feedback rates for pilot-assisted MIMO systems. IEEE Transactions on Vehicular Technology 56(4): 1727–1736

    Article  Google Scholar 

  17. Sadrabadi M. A., Maddah-Ali M. A., Khandani A. K. (2007) On the capacity of time-varying channels with periodic feedback. IEEE Transactions on Information Theory 53(8): 2910–2915

    Article  MathSciNet  Google Scholar 

  18. Narula A., Lopez M. J., Trott M. D., Wornell G. W. (1998) Efficient use of side information in multiple antenna data transmission over fading channels. IEEE Journal on Selected Areas in Communications 16(8): 1423–1436

    Article  Google Scholar 

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Correspondence to Meng Ma.

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Li, W., Ma, M. & Jiao, B. Optimization of Feedback for Adaptive MIMO Transmissions Over Time Varying Channels. Wireless Pers Commun 54, 579–590 (2010). https://doi.org/10.1007/s11277-009-9741-0

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  • DOI: https://doi.org/10.1007/s11277-009-9741-0

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