A Unified Framework for the Performance Analyses of Diversity Energy Detectors over Fading Channels
International journal of autonomous and adaptive communications systems(2014)
摘要
This paper revisits the problem of energy detection of an unknown deterministic signal over a myriad of fading environments. Specifically, a new analytical approach based on six alternative series representations of the generalised Marcum Q-function of real order in conjunction with moments or derivatives of the Moment Generating Function of Signal-to-Noise Ratio SNR is proposed to analyse the performance of Maximal-Ratio Combining MRC and Square-Law Combining SLC energy detectors with independent but non-identically distributed i.n.d fading statistics. Our analytical framework is sufficiently general, and capable of handling half-odd integer values for the time-bandwidth product and non-integer fading severity indices for the Nakagami-m fading environment, as well as i.n.d Rice and mixed fading scenarios. Many of these cases were either intractable with the classical probability density function/contour integral approaches, or had resisted a simple/computationally efficient solution. Selected numerical results are also provided for the Receiver Operating Characteristic ROC of MRC and SLC diversity-based energy detectors over Rice and Nakagami-m channels.
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