Analysis of Energy Detector in Cooperative Relay Networks for Cognitive Radios

Abstract

Abstract-In this paper, performance of the energy detector is analyzed in blind cooperative relay networks operating over independent and identically distributed (IID) Rayleigh fading channels. First, utilizing the closed-form expression of the probability density function (PDF) of the dual-hop relay link along with an alternative series form representation of the generalized marcum-Q function, exact average detection probability expression is obtained for the dual-hop blind relay link. After that, a closed-form PDF expression is derived for the total received signal-to-noise ratio (SNR) of the combined received signal, received via the relay path and direct path, at the destination, which is assumed to be equipped with selection combiner (SC) and energy detector. Finally, within the same analytical framework, as established for the analysis of the relay link, an exact average detection probability expression for the cooperative system is derived. Since the obtained expressions are in the form of infinite summation series, therefore, respective series truncation error bounds are also calculated, which can be used to compute the number of terms required to achieve a given figure of accuracy. In the end, analytical expressions are validated with the help of computer simulations. It is expected that these analysis will be helpful in quantifying the future communication networks such as cognitive radio networks.

Quickest physical‐layer MGD anomaly detection for jamming attacks in centralized modulated wideband converter‐based ROC curve

“…Some existing technique–based mathematical domain in the literature cannot detect the jamming problem because it can work below the threshold value, for example: energy detector, cyclostasionary detector, and detection‐based eigenvalue …”

“…Some existing technique-based mathematical domain in the literature cannot detect the jamming problem because it can work below the threshold value, for example: energy detector, 29,30 cyclostasionary detector, 31 and detection-based eigenvalue. 32 There are many antijamming technique-based mitigation and detection in the literature that explain the problem of jamming but have shown a loss of spectral efficiency, an increase in energy consumption by each CR, and an increase in the complexity of computation of the system.…”

Energy Detection in Multihop Cooperative Diversity Networks: An Analytical Study

“…Several observations are made which are outlined below. Figure 4 shows the comparison of analytical equation (15) with its simulation counterpart. The curves are plotted against different number of hops ( ) on varying values of SNR.…”

Intelligent cognitive radio jamming - a game-theoretical approach

“…1: function FICTIOUS EXPECTED UTILITY UPDATE 2: powers ← Available powers 3: freqs ← Available frequencies flist ← Opponent's previous states 6: 7: flist.append(SS) 8: for d ∈ possible actions do 9: sum ← 0 10: for C, f ∈ powers, freqs do 11: N ← count (C, f )in flist 12: sum ← sum + N · P(d [3] , d [4] , C, f ) 13: end for 14:…”

“…Different spectrum sensing approaches, such as energy detection [3], matched filters [4], various feature detection methods (e.g., cyclostationary) [5], and hybrid methods [6] have been proposed and analyzed in the past. These are *Correspondence: kresimir.dabcevic@ginevra.dibe.unige.it DITEN -Department of Electrical, Electronic, Telecommunications Engineering and Naval Architecture, University of Genova, Via Opera Pia 11A, Genoa, Italy mainly differentiated by their computational complexity (energy detection being the most computationally efficient, thus simplest to implement), necessity for a priori knowledge of the observed signals (matched filters), and the means of extracting features of the recognized signals (feature detectors).…”