Solution refinement of wireless optical system model with multi-level modulation

Abstract

Two optimisation models established for a wireless optical communication system based on the four-level pulse amplitude modulation scheme were recently reported. Both models were expressed in terms of multiple improper integrals. To improve the computational efficiency, the closed-form in terms of the incomplete gamma function is derived that is supported by most mathematical software packages, including MATLAB. The previously reported optimisation models are solved with the new method. The solutions are presented.Introduction: In a recent paper [1], a wireless optical communication (WOC) system based on the multi-level pulse amplitude modulation scheme was investigated and two optimisation models were developed. One of the primary metrics in these models is the average bit error probability (BEP) [1]:

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“…Kapova and Goldschmidt [13] proposed model-driven application engineering based on the concept of analytical transformations. Liu [14] established two optimization models for a wireless optical communication system based on a four-level pulse amplitude modulation scheme. Ragnhild et al [15] explored the behavior inheritance consistency of both refined and re-factored models with respect to the original model.…”