On the optimum joint decoding capacity of Wyner Circular GCMAC by exploiting Hadamard inequality

Abstract

This paper presents an original expression of the theoretical upper bound for the optimum joint decoding capacity of Wyner Circular Gaussian Cellular Multiple Access Channel (C-GCMAC). This upper bound is a novel application of the Hadamard inequality established by exploiting the Hadamard operation between the channel fading (G) and channel slow gain (Ω) matrices. This paper demonstrates that the theoretical upper bound converges to the actual capacity for negligible channel slow gain among the mobile terminals and the base stations for the entire range of Signal to Noise Ratios (SNRs). The behaviour of the theoretical bound is critically observed when the inter-cell and the intra-cell time sharing schemes are employed.