Average quality description of energy detection for generalised multipath shadowed κ – μ fading channels

Gvozdarev, Aleksey S.

doi:10.1080/09205071.2021.1934901

Cited by 7 publications

(5 citation statements)

References 38 publications

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“…For instance, for 2 5   dB and BER level of 3 10  , as modulation scheme changes from BPSK to DPSK, 1  requires to be increased by about 3 dB. Further, it can be observed that the asymptotic findings given in (11) match fully the theoretical expression proposed in (10) proving the certainty of the derived expressions.…”

Section: Numerical Resultssupporting

confidence: 59%

“…In [9], a statistical characterization investigation related to the   shadowed and Beckmann fading models were presented. In [10], the energy detection characteristic analysis for the   shadowed fading channels were proposed. In [11], a mixture Gamma shadowed case was considered by using inverse Nakagami-m. Then, the proposed unified distribution model was applied to double   shadowed fading channels.…”

Section: Introductionmentioning

confidence: 99%

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Cascaded Double κ-μ Shadowed Fading Channels

Bilim

2021

Preprint

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In this study, the cascaded double shadowed fading model is mathematically introduced. A novel expression is obtained for the cumulative distribution function (CDF) of the cascaded double shadowed fading channels by using Meijer’s G function and Laplace transform. Based on the obtained CDF expression, the exact and asymptotic expressions are derived for the outage probability (OP), the bit error rate (BER) for various modulations of the considered channel model. The OP and the average BER curves with exact simulations obtained by the proposed expressions are presented for different parameters and modulation schemes of the considered channel model. Finally, the accuracy of the derived OP and the average BER expressions is confirmed.

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Section: Numerical Resultssupporting

confidence: 59%

Section: Introductionmentioning

confidence: 99%

Cascaded Double κ-μ Shadowed Fading Channels

Bilim

2021

Preprint

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“…Hence, Theorems 1 and 2 provide a solid ground for the unification of the derived quality metrics (APD and AUC) of those models. The APD and AUC expressions for the models included in Section 3.2, that can be derived directly from ( 5) and ( 6), with some exceptions, were generally reported in the literature, but in differing forms (see [8,16] for Rayleigh, [8] for Nakagami-m, [17] for Hoyt, [9,13] for η − µ, [14,30,31] for κ − µ shadowed) and hence are of limited interest, mainly for illustrative purposes and notation unification.…”

Section: Proof Of Theorem 2 For Proof See Appendix Bmentioning

confidence: 99%

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

Gvozdarev

2022

Sensors

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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, η−μ, κ−μ 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.

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“…Reference [ 20 ] studied the performance of energy-based spectrum sensing in k-μ and k-μ extreme fading channels under the Bayesian framework, and derived accurate expressions for the channel model error probability (as a convex combination of false alarm probability and signal detection probability). Reference [ 21 ] derived a novel closed-form analytical solution for the average quality metric (average receiver operating characteristic curve and area under the curve) of a generic k-μ shadow fading channel model by analyzing the average quality metric describing the energy detection process; moreover, to investigate the impact of human body occlusion on the channel in cellular device-to-device communication, reference [ 22 ] derived the probability density function and moment function of the channel model and applied it to link communication between devices in an outdoor urban environment at 868 MHz, and found that the shadow effect of the deterministic component varies significantly depending on the relative position of the user device to the body and link geometry. Reference [ 23 ] derived approximate expressions for the system interruption probability and channel capacity in a system where both the sensing transmission signal and the interference signal experience k-μ shadow fading under given conditions such as signal-to-noise ratio.…”

Section: Introductionmentioning

confidence: 99%

Multi-Parameter Estimation Method and Closed-Form Solution Study for k-µ Channel Model

Tian

Fan

et al. 2023

Sensors

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This paper proposes a novel multi-parameter estimation algorithm for the k-µ fading channel model to analyze wireless transmission performance in complex time-varying and non-line-of-sight communication scenarios involving moving targets. The proposed estimator offers a mathematically tractable theoretical framework for the application of the k-µ fading channel model in realistic scenarios. Specifically, the algorithm obtains expressions for the moment-generating function of the k-µ fading distribution and eliminates the gamma function using the even-order moment value comparison method. It then obtains two sets of solution models for the moment-generating function at different orders, which enable the estimation of the k and µ parameters using three sets of closed-form solutions. The k and µ parameters are estimated based on received channel data samples generated using the Monte Carlo method to restore the distribution envelope of the received signal. Simulation results show strong agreement between theoretical and estimated values for the closed-form estimated solutions. Additionally, the differences in complexity, accuracy exhibited under different parameter settings, and robustness under decreasing SNR may make the estimators suitable for different practical application scenarios.

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Average quality description of energy detection for generalised multipath shadowed κ – μ fading channels

Cited by 7 publications

References 38 publications

Cascaded Double κ-μ Shadowed Fading Channels

Cascaded Double κ-μ Shadowed Fading Channels

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

Multi-Parameter Estimation Method and Closed-Form Solution Study for k-µ Channel Model

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