Error Rate and Capacity Analysis for Incremental Hybrid DAF Relaying using Polar Codes

The deployment of an incremental hybrid decode-amplify and forward relaying scheme is a promising and superior solution for cellular networks to meet ever-growing network traffic demands. However, the selection of a suitable relaying protocol based on the signal-to-noise ratio threshold is important in realizing an improved quality of service. In this paper, an incremental hybrid relaying protocol is proposed using polar codes. The proposed protocol achieves a better performance than existing turbo codes in terms of capacity. Simulation results show that the polar codes through an incremental hybrid decode-amplify-and-forward relay can provide a 38% gain when gamma(th(1)) and gamma(th(2)) are optimal. Further, the channel capacity is improved to 17.5b/s/Hz and 23b/s/Hz for 2x2 MIMO and 4x4 MIMO systems, respectively. Monte Carlo simulations are carried out to achieve the optimal solution.