Statistics of the Channel Capacity in a Cellular DS/FFH-CDMA Rayleigh Fading System

Abstract

In this paper, we derive analytically the probability density function (pdf) of the theoretically achievable average channel capacity per user (in the Shannon sense) for a constant total system’s allocated bandwidth hybrid direct-sequence/fast frequency hopping code-division multiple-access (DS/FFHCDMA) cellular system, when operating in a Rayleigh fading environment. Then, the analysis leads to a theoretical novelclosed form expression for the pdf of the channel capacity, which relates the pdf of the channel capacity per user and all system’s parameters. In addition, the probability that the channel capacity per user does not exceed the available average channel capacity per user, in a Rayleigh fading environment, is calculated and respective numerical results are presented to investigate the sensitivity of this probability value from various system’s parameters. Finally, the derived expression can be useful for the initial practical design of a DS/FFHCDMA cellular system and for a quantitative analysis.