A Novel-Iterative Simulation Method for Performance Analysis of Non-Coherent FSK/ASK Systems Over Rice/Rayleigh Channels using the Wolfram Language

Abstract

In this paper, a new approach in solving and analysing theperformances of the digital telecommunication non-coherent FSK/ASK systemin the presence of noise is derived, by using a computer algebra system. So far,most previous solutions cannot be obtained in closed form, which can be aproblem for detailed analysis of complex communication systems. In this case,there is no insight into the influence of certain parameters on the performance ofthe system. The analysis, modelling and design can be time-consuming. One ofthe main reasons is that these solutions are obtained by utilising traditionalnumerical tools in the shape of closed-form expressions. Our results wereobtained in closed-form solutions. They are resolved by the introduction of aniteration-based simulation method. The Wolfram language is used for describingapplied symbolic tools, and SchematicSolver application package has been usedfor designing. In a new way, the probability density function and the impact ofthe newly introduced parameter of iteration are performed when errors arecalculated. Analyses of the new method are applied to several scenarios: withoutfading, in the presence of Rayleigh fading, Rician fading, and in cases when thesignals are correlated and uncorrelated.