Comparison of Harmonic and Arithmetic-Geometric Mean inequality for performance analysis of relay networks

A new method of analyzing the Asymptotic Bit Error Rate (ABER) performance of Bidirectional Amplify-and-Forward Multiple Relay (BAF-MR) networks is presented in this paper. The analytical expression of the average Signal-to-Noise Ratio (SNR) is derived using both of Arithmetic-Geometric Mean inequality (AGM) and Harmonic Mean (HM). The ABER results obtained from the AGM and HM are then compared to determine the more accurate ABER. All the analytical expressions are verified using simulation results.