In this paper, a method for approximating the probability distribution of sum of independent and identical Weibull\nrandom variables is adopted to analyze the performance of equal gain combiner (EGC) receiver over non-identical\nWeibull fading channel (WFC). Our main result is to derive a generalized expression of the probability density function\n(PDF) of the signal-to-noise ratio (SNR) at the EGC output in the case of non-identical WFC. Based on this PDF, accurate\napproximation of significant performance criteria, such as outage probability (OP), the amount of fading (AoF), and\naverage symbol/bit error probability (ASEP/ABEP), are derived. In addition, we derived the analytical expressions for\nchannel capacities under various adaptation policies such as optimal rate adaptation (ORA), optimal simultaneous\npower and rate adaptation (OPRA), channel inversion with fixed rate (CIFR), and truncated channel inversion with fixed\nrate (TCIFR). The proposed mathematical analysis is complemented by several numerical results and validated using\nMonte Carlo simulation method.
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