Minimum Feedback Rates for Multi-Carrier Transmission with Correlated Frequency-Selective Fading

Yakun Sun*, Michael L Honig

*Corresponding author for this work

Research output: Contribution to conferencePaper

13 Citations (Scopus)

Abstract

We consider multi-carrier transmission through a frequency-selective fading channel with limited feedback. An on-off power allocation activates the set of sub-channels with gains above a threshold. We model the sequence of sub-channel gains as a Markov process, and give a lower bound on the feedback rate in bits per sub-channel needed to specify the sequence of activated sub-channels as a function of the activation threshold. Optimizing the threshold gives the same asymptotic growth in capacity as optimal water-filling as the number of sub-channels N goes to infinity. If the ratio of coherence bandwidth to the total available bandwidth is fixed, then the ratio between minimum feedback rates with correlated and i.i.d, sub-channels, respectively, converges to zero with N. For a sequence of Rayleigh fading sub-channels, which are modeled as a first-order autoregressive process, the ratio goes to zero as O (√log N/N) with the optimized threshold. We also consider finite-precision rate control on each sub-channel, and show that the feedback rate required to specify the sequence of assigned rate levels across sub-channels gives the same asymptotic increase in achievable rate with N as the (infinite-precision) on-off power allocation.

Original languageEnglish (US)
Pages1628-1632
Number of pages5
StatePublished - Dec 1 2003
EventIEEE Global Telecommunications Conference GLOBECOM'03 - San Francisco, CA, United States
Duration: Dec 1 2003Dec 5 2003

Other

OtherIEEE Global Telecommunications Conference GLOBECOM'03
CountryUnited States
CitySan Francisco, CA
Period12/1/0312/5/03

Fingerprint

Carrier communication
Frequency selective fading
Feedback
Bandwidth
Rayleigh fading
Fading channels
Markov processes
Chemical activation
rate
Water

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Global and Planetary Change

Cite this

Sun, Y., & Honig, M. L. (2003). Minimum Feedback Rates for Multi-Carrier Transmission with Correlated Frequency-Selective Fading. 1628-1632. Paper presented at IEEE Global Telecommunications Conference GLOBECOM'03, San Francisco, CA, United States.
Sun, Yakun ; Honig, Michael L. / Minimum Feedback Rates for Multi-Carrier Transmission with Correlated Frequency-Selective Fading. Paper presented at IEEE Global Telecommunications Conference GLOBECOM'03, San Francisco, CA, United States.5 p.
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Sun, Y & Honig, ML 2003, 'Minimum Feedback Rates for Multi-Carrier Transmission with Correlated Frequency-Selective Fading' Paper presented at IEEE Global Telecommunications Conference GLOBECOM'03, San Francisco, CA, United States, 12/1/03 - 12/5/03, pp. 1628-1632.

Minimum Feedback Rates for Multi-Carrier Transmission with Correlated Frequency-Selective Fading. / Sun, Yakun; Honig, Michael L.

2003. 1628-1632 Paper presented at IEEE Global Telecommunications Conference GLOBECOM'03, San Francisco, CA, United States.

Research output: Contribution to conferencePaper

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N2 - We consider multi-carrier transmission through a frequency-selective fading channel with limited feedback. An on-off power allocation activates the set of sub-channels with gains above a threshold. We model the sequence of sub-channel gains as a Markov process, and give a lower bound on the feedback rate in bits per sub-channel needed to specify the sequence of activated sub-channels as a function of the activation threshold. Optimizing the threshold gives the same asymptotic growth in capacity as optimal water-filling as the number of sub-channels N goes to infinity. If the ratio of coherence bandwidth to the total available bandwidth is fixed, then the ratio between minimum feedback rates with correlated and i.i.d, sub-channels, respectively, converges to zero with N. For a sequence of Rayleigh fading sub-channels, which are modeled as a first-order autoregressive process, the ratio goes to zero as O (√log N/N) with the optimized threshold. We also consider finite-precision rate control on each sub-channel, and show that the feedback rate required to specify the sequence of assigned rate levels across sub-channels gives the same asymptotic increase in achievable rate with N as the (infinite-precision) on-off power allocation.

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Sun Y, Honig ML. Minimum Feedback Rates for Multi-Carrier Transmission with Correlated Frequency-Selective Fading. 2003. Paper presented at IEEE Global Telecommunications Conference GLOBECOM'03, San Francisco, CA, United States.