Novel Asymptotic Results on the High-Order Statistics of the Channel Capacity over Generalized Fading Channels

Yilmaz F. , Alouini M.

13th IEEE International Workshop on Signal Processing Advances in Wireless Communications (SPAWC), Cesme, Turkey, 17 - 20 June 2012, pp.389-393 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Doi Number: 10.1109/spawc.2012.6292934
  • City: Cesme
  • Country: Turkey
  • Page Numbers: pp.389-393
  • Keywords: Higher-order statistics, higher-order amount-of-fading, ergodic capacity, higher-order ergodic capacity, generalized fading channels


The exact analysis of the higher-order statistics of the channel capacity (i.e., higher-order ergodic capacity) often leads to complicated expressions involving advanced special functions. In this paper, we provide a generic framework for the computation of the higher-order statistics of the channel capacity over generalized fading channels. As such, this novel framework for the higher-order statistics results in simple, closed-form expressions which are shown to be asymptotically tight bounds in the high signal-to-noise ratio (SNR) regime of a variety of fading environment. In addition, it reveals the existence of differences (i.e., constant capacity gaps in log-domain) among different fading environments. By asymptotically tight bound we mean that the high SNR limit of the difference between the actual higher-order statistics of the channel capacity and its asymptotic bound (i.e., lower bound) tends to zero. The mathematical formalism is illustrated with some selected numerical examples that validate the correctness of our newly derived results.