Title: A unified framework for the performance analyses of diversity energy detectors over fading channels

Authors: O. Olabiyi; S. Alam; O. Odejide; A. Annamalai

Addresses: Department of Electrical and Computer Engineering, Prairie View A&M University, Texas 77446, USA ' Department of Electrical and Computer Engineering, Prairie View A&M University, Texas 77446, USA ' Department of Electrical and Computer Engineering, Prairie View A&M University, Texas 77446, USA ' Department of Electrical and Computer Engineering, Prairie View A&M University, Texas 77446, USA

Abstract: 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.

Keywords: diversity energy detectors; unified framework; fading channels; performance analysis; moment generating function method; generalised Marcum Q-function; spectrum sensing; opportunistic spectrum access; energy detection.

DOI: 10.1504/IJAACS.2014.058009

International Journal of Autonomous and Adaptive Communications Systems, 2014 Vol.7 No.1/2, pp.49 - 74

Received: 08 May 2021
Accepted: 12 May 2021

Published online: 04 Sep 2013 *

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