Shannon Limit of Coding in Wireless Communication

Abstract

A limit SNR(signal noise ratio) -1.6dB has been derived in continuous AWGN channel by shannon theorem. In this paper we study the channel capacity and limit SNR by series representation unlike iteration method for BI-AWGN(discrete binary input, continuous output) and rayleigh channel in BPSK modulation. The limit SNR is obtained under the help of Cesαro series summation rule. We figure out that BI-AWGN and rayleigh channel with (channel state information)CSI behave the same in limit SNR in terms of R → 0 and P → 0. For rayleigh channel without CSI, We solve it approximately by series expanded in R → 0 and an expression of capacity behaves more simple than the two others derived before.