A Simple Upper Bound on the Capacity of BI-AWGN Channel

Abstract

The capacity of binary input additive white Gaussian noise (BI-AWGN) channel has no closed-form solution due to the complicated numerical integrations involved. In this letter, a simple upper bound to evaluate the capacity of BI-AWGN channel is presented. In addition, through the moment generating function (MGF) of fading channel gain, the upper bounds of fading channels are derived by averaging the proposed bound with respect to the probability density function (pdf) of fading gain.