In order to analyze the impact of the asymmetric threshold rate on the performance of two-way relaying system more precisely

a method named performance analysis of ratio of threshold rate(RTR)is presented. The RTR is defined based on two directional threshold rates

then performance expressions are derived to obtain a function of RTR and the effect of the RTR on performance expressions is studied to obtain the effect of asymmetric threshold rate on the performance of the system. The proposed method is used to analyze the outage probability in Nakagami-m fading channel

and the results show that the outage probability increases with RTR increasing when the ratio of signal to noise(SNR)is a constant. Simulation results show that the outage probability increases by about 3% when the fading parameter pertaining to each terminal-pair-relay link is 1 and 1.2

respectively

SNR is 20 dB

and RTR increases from 1 to 3.