Reliability performance estimation and its applications of rate-compatible polar codes for B5G-IoT

The beyond fifth-generation Internet of Things requires more capable channel coding schemes to achieve high-reliability, low-complexity and low-latency communications. The theoretical analysis of error-correction performance of channel coding functions as a significant way of optimizing the transmission reliability and efficiency. In this paper, the efficient estimation methods of the block error rate (BLER) performance for rate-compatible polar codes (RCPC) are proposed under several scenarios. Firstly, the BLER performance of RCPC is generally evaluated in the additive white Gaussian noise channels. That is further extended into the Rayleigh fading channel case using an equivalent estimation method. Moreover, with respect to the powerful decoder such as successive cancellation list decoding, the performance estimation is derived analytically based on the polar weight spectrum and BLER upper bounds. Theoretical evaluation and numerical simulation results show that the estimated performance can fit well the practical simulated results of RCPC under the objective conditions, verifying the validity of our proposed performance estimation methods. Furthermore, the application designs of the reliability estimation of RCPC are explored, particularly in the advantages of the signal-to-noise (SNR) estimation and throughput efficiency optimization of polar coded hybrid automatic repeat request.