A Novel Unified Framework for Energy-Based Spectrum Sensing Analysis in the Presence of Fading.

Aleksey S. Gvozdarev

doi:10.3390/s22051742

Abstract

This paper studies the performance of the energy-based sensing procedure in the presence of multipath fading and shadowing effects in terms of its average probability of detection (APD), average receiver operating characteristic (AROC) and the area under the AROC curve (AUC). A new generalization for the class of the fading channel moment generating functions (MGFs) (i.e., factorized power type (FPT) MGF) was proposed and applied for the construction of the unified framework for the analytical treatment of the formulated problem. The contiguity of the proposed model with the existing classical ones (Rayleigh, Nakagami-m, Hoyt, , shadowed and Mixture-Gamma) was demonstrated. Within the assumed MGF representation, the novel closed-form solutions and computationally efficient approximation for APD and AUC are derived. The obtained general expressions were then applied for derivation of the new results for the recent generalized fading channel models: Fluctuating Beckmann and Beaulieu-Xie shadowed. For each of the models, high-SNR asymptotic expressions were obtained. Lastly, numeric simulation was performed to verify the correctness of the derived results, to establish the dependencies of the sensing performance quality from the channel parameters and to identify the specific ranges of their asymptotic behavior.

Highlights

The implementation of cognitive principles in internet of things (IoT) applications and various ad hoc communication systems leads to the simplification of involved mobile devices (M2M, D2D communications, etc.), and to the requirement of computational load reduction
The most general energy-based detection (ED) quality description is well known since the pioneering work of [3] and is given in terms of the average probability of detection (APD), average receiver operating characteristic (AROC)
J =1 with a set of coefficients A p, δj, α j, β j, N (it should be emphasized that this definition is close to the monomial/posynomial moment generating functions (MGFs) defined in [26])

Summary

Introduction

The implementation of cognitive principles in internet of things (IoT) applications and various ad hoc communication systems leads to the simplification of involved mobile devices (M2M, D2D communications, etc.), and to the requirement of computational load reduction. The solution of the problem is usually sought involving the so-called generalized channel models [4,5,6] (such as η − μ, κ − μ, Generalized Gamma, Fading Beckmann, etc.), that inherently include as specific limiting cases the simplified classical models (Rayleigh, Rician, Nakagami-m, Hoyt, etc.). In most cases, their flexibility is obtained at the expense of the higher analytic and computational complexity [7]. From a practical perspective, it is highly desired for scientific researchers and engineers to have at hand closed-form expressions for ROC/AUC that can be used for the design of efficient optimization strategies in terms of link quality and reliability

Results

Discussion

Conclusion