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In this paper, a new approach in solving and analysing the performances of   the digital telecommunication non-coherent FSK/ASK system in 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 a problem for   detailed analysis of complex communication systems. In this case, there is no   insight into the influence of certain parameters on the performance of the   system. The analysis, modelling and design can be time-consuming. One of the   main reasons is that these solutions are obtained by utilising traditional   numerical tools in the shape of closed-form expressions. Our results were   obtained in closed-form solutions. They are resolved by the introduction of   an iteration-based simulation method. The Wolfram language is used for   describing applied symbolic tools, and SchematicSolver application package   has been used for designing. In a new way, the probability density function   and the impact of the newly introduced parameter of iteration are performed   when errors are calculated. Analyses of the new method are applied to several   scenarios: without fading, in the presence of Rayleigh fading, Rician fading,   and in cases when the signals are correlated and uncorrelated. [Projekat   Ministarstva nauke Republike Srbije, br. TR 32023

A novel-iterative simulation method for performance analysis of non-coherent FSK/ASK systems over Rice/Rayleigh channels using the wolfram language