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Abstract
Incorporating different fading distributions in detection problems, results in different performance expressions, each of which is bounded by the applicability of the presumed distribution. Utilizing Ü-æfading distribution for performance generalization is obstructed by some technical and mathematical problems. In this work, not only a generalized solution of Energy Detection problem is provided, but also the framework to guarantee mathematically convergent results for further research. Additionally, we provided a faster simulation method based on Asymptotic Inversion of Incomplete Gamma Function. Moreover, we provided a novel generation technique, completely free of any special functions thus suitable for real time simulators especially using Field Programmable Logic Arrays FPGA platforms thus convenient to be implanted on hardwired real time testers