A novel semi-analytical performance evaluation for a digital communication system using orthogonal series

Error probability is the most popular metric for evaluating the performance of a digital communication system. It is often estimated using Monte-Carlo simulation method since analytical expressions of the error probabilities are not always available especially for advanced communication systems. In this paper, we propose a new semi-analytical method for fast performance evaluation. This method is based on estimating the probability density using orthogonal series. We show that the proposed technique requires a few numbers of observation samples for performance evaluation compared with Monte-Carlo simulation. Consequently, it provides a significant gain in terms of computing time.