Angular Domain-Based Importance Sampling Estimator for Linear Block Codes over the AWGN Channel with M-PSK Modulation
Jinzhe Pan, Wai Ho Mow · 2022 IEEE Information Theory Workshop (ITW) · 2022
In this paper, the problem of efficient performance evaluation of linear block codes over the AWGN channel with M-PSK modulation is considered. Based on the geometric structure of the channel, we define the tangent of the half-angle of the circular cone, whose central line passes through the transmitted signal vector and the origin, as a random variable and refer to its sample space as the angular domain. We propose a minimum-variance importance sampling (IS) estimator by deriving the optimal IS distribution in the angular domain. Besides, we derive the asymptotic IS gain of the proposed estimator compared to the Monte Carlo method as SNR tends to infinity. The effectiveness of the proposed estimator and the accuracy of the asymptotic IS gain are verified through simulation.