We investigate the effective throughput performance of overhead signaling systems from the viewpoint of Shannon Theory 2.0. Assume that R is the achievable throughput of the perfect information system and \Delta R is the difference of the achievable throughput performance between the perfect information system and the limited information system. We denote the overhead signaling time as T_\mathrm{OS} and the total available time as T. Then, the effective throughput performance of the limited information system is defined as[1]

\mathcal{R}_\mathrm{eff} = (1 - \tau_\mathrm{OS}) R_\mathrm{OS}(\tau_\mathrm{OS})

where \tau_\mathrm{OS} = T_\mathrm{OS}/T and R_\mathrm{OS}(\tau_\mathrm{OS}) = R - \Delta R_\mathrm{OS}(\tau_\mathrm{OS}). The equation above shows that if the time resource for overhead signaling \tau_\mathrm{OS} goes to sufficiently large, the real transmission time of T_\mathrm{DL} = 1 - \tau_\mathrm{OS} becomes smaller and the performance difference of \Delta R_\mathrm{OS}(\tau_\mathrm{OS}) becomes smaller. Therefore, it is obvious that there is an optimal point for \tau_\mathrm{OS} to achieve the maximum of \mathcal{R}_\mathrm{eff}.

Pilot Overhead Edit

For non-perfect pilot signaling system, the throughput performance is given by the function of the noise density, R_\mathrm{OS}( \mathrm{SNR}_\mathrm{eff}(\tau_\mathrm{OS})) where

 \mathrm{SNR}_\mathrm{eff} = \frac{ \mathrm{SNR}( 1 - \mathrm{MMSE})}{1 + \mathrm{SNR} \cdot \mathrm{MMSE}}

where \mathrm{MMSE} = E[ | \tilde{H}|^2] and \tilde{H} is the measured channel information at the receiver[1].

References Edit

  1. 1.0 1.1 N. Jindal and A. Lozano, Optimum Pilot Overhead in Wireless Communication: A Unified Treatment of Continuous and Block-Fading Channels, Submitted to IEEE Trans. Wireless Communications, March 2009

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