Effective Throughput Analysis of α - η - κ - μ Fading Channels
TL;DR: It is found that the effective throughput improves with the increase of channel nonlinearity and number of multipath clusters, and the high-SNR slope is only dependent on the channel non linearity and the number of multiclass clusters present in the physical channel.
Abstract: The $\alpha $ - $\eta $ - $\kappa $ - $\mu $ fading model is a very useful instrument to accurately describe various radio wave propagation scenarios. In this paper, we study the effective throughput performance of communication systems over the $\alpha $ - $\eta $ - $\kappa $ - $\mu $ fading channels. Novel and exact expressions for the effective throughput over $\alpha $ - $\eta $ - $\kappa $ - $\mu $ channels are derived, and the effective throughput of multiple-input single-output (MISO) and multiple-input multiple-output (MIMO) systems over some widely used small-scale fading models are presented based on the derived results. To obtain more understandings on the impact of physical channel characteristics and system configuration on the effective throughput, closed-form expressions for the asymptotic effective throughput at high signal-to-noise ratio (SNR) regimes are also obtained. The results reveal the underlying connections between different physical channel parameters (e.g., scattering level, phase correlation, channel nonlinearity, multipath clustering, and channel imbalance) and the effective throughput. It is found that the effective throughput improves with the increase of channel nonlinearity and number of multipath clusters, and the high-SNR slope is only dependent on the channel nonlinearity and the number of multipath clusters present in the physical channel.
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TL;DR: The performance of hybrid automatic repeat request (hybrid-ARQ) for an IRS-assisted system is analyzed and shows that the outage performance improves better than linearly by increasing number of reflectors of the IRS-aided system.
Abstract: The intelligent reflecting surface (IRS) is an emerging technique to extend the wireless coverage. In this letter, the performance of hybrid automatic repeat request (hybrid-ARQ) for an IRS-assisted system is analyzed. More specifically, the outage performance of the IRS-aided system using hybrid-ARQ protocol with chase combining is studied. Asymptotic analysis also shows that the outage performance improves better than linearly by increasing number of reflectors of the IRS-aided system. The results also verify the potential of combining the ARQ scheme in the link layer of the IRS-aided system and demonstrate that very small change of path loss condition can impact the performance largely.
2 citations
25 Apr 2021
TL;DR: In this article, the authors investigated the effective rate when the instantaneous received signal-to-noise ratio (SNR) could be modeled as the mixture Gamma (MG), mixture of Gaussian (MoG), and Fox's H-function distributed random variable (RV), respectively.
Abstract: This paper investigates the effective rate when the instantaneous received signal-to-noise ratio (SNR) could be modeled as the mixture Gamma (MG), mixture of Gaussian (MoG), and Fox’s H-function distributed random variable (RV), respectively. Three closed-form expressions are correspondingly derived in terms of the Fox’s H-function. The obtained analytical results are further examined by the Monte-Carlo simulation. One can observe that (i) the analytical solutions provide an excellent match with the Monte-Carlo simulation results; (ii) the MG and MoG approaches provide highly approximated solutions, and the MG is better due to a simpler form; and (iii) the Fox’s H-function solution is exact and offers a unified, general and flexible framework for the effective rate analysis.
1 citations
14 Nov 2022
TL;DR: In this paper , the authors employed a novel approach to derive density and distribution functions of the envelope of the channel without an infinite series approximation, and presented the exact outage probability and average bit-error-rate (BER) performance of a wireless link subjected to the ''alpha''-$\eta$-$\kappa$-$-$\mu$ fading model using a single tri-variate Fox's H-function.
Abstract: The $\alpha$-$\eta$-$\kappa$-$\mu$ is one of the most generalized and flexible channel models having an excellent fit to experimental data from diverse propagation environments. The existing statistical results on the envelope of $\alpha$-$\eta$-$\kappa$-$\mu$ model contain an infinite series involving regularized hypergeometric function and generalized Laguerre polynomial, prohibiting its widespread application in the performance analysis of wireless systems. In this paper, we employ a novel approach to derive density and distribution functions of the envelope of the $\alpha$-$\eta$-$\kappa$-$\mu$ fading channel without an infinite series approximation. The derived statistical results are presented using a single Fox's H-function for tractable performance analysis and efficient numerical computations, especially for high-frequency mmWave and terahertz wireless transmissions. To gain insight into the distribution of channel envelope, we develop an asymptotic analysis using a more straightforward Gamma function converging to the exact within a reasonable range of channel parameters. To further substantiate the proposed analysis, we present the exact outage probability and average bit-error-rate (BER) performance of a wireless link subjected to the $\alpha$-$\eta$-$\kappa$-$\mu$ fading model using a single tri-variate Fox's H-function. We obtain the diversity order of the system by analyzing the outage probability at a high signal-to-noise (SNR) ratio. We use numerical and simulation analysis to demonstrate the significance of the developed statistical results compared with the existing infinite series representation for the envelope of the $\alpha$-$\eta$-$\kappa$-$\mu$ model.
TL;DR: Two simple and yet effective resource allocation schemes for wireless powered communication networks based on static time division multiple access (TDMA) are proposed, which are much simpler for practical implementation.
Abstract: The letter proposes two simple and yet effective resource allocation schemes for wireless powered communication networks based on static time division multiple access (TDMA). The energy harvesting users (EHUs) do not have channel state information (CSI) available and transmit at fixed power and fixed rate to the base station (BS). In order to facilitate fairness, the network employs either the proportional fairness criterion or the max-min criterion for the EHUs’ rates by optimizing the key system parameters: the BS transmit power, the durations of energy harvesting and information transmission phases, and the EHU’s rates. Unlike the existing schemes that adapt the system parameters in each channel fading state, our proposed schemes are much simpler for practical implementation.
Cites background from "Effective Throughput Analysis of α ..."
...[13]), the Rayleigh channel models most severe fading environments and leads to pessimistic estimation of the system performance....
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References
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TL;DR: This paper proposes and develops a link-layer channel model termed effective capacity (EC), which first model a wireless link by two EC functions, namely, the probability of nonempty buffer, and the QoS exponent of a connection, and proposes a simple and efficient algorithm to estimate these EC functions.
Abstract: To facilitate the efficient support of quality of service (QoS) in next-generation wireless networks, it is essential to model a wireless channel in terms of connection-level QoS metrics such as data rate, delay, and delay-violation probability. However, the existing wireless channel models, i.e., physical-layer channel models, do not explicitly characterize a wireless channel in terms of these QoS metrics. In this paper, we propose and develop a link-layer channel model termed effective capacity (EC). In this approach, we first model a wireless link by two EC functions, namely, the probability of nonempty buffer, and the QoS exponent of a connection. Then, we propose a simple and efficient algorithm to estimate these EC functions. The physical-layer analogs of these two link-layer EC functions are the marginal distribution (e.g., Rayleigh-Ricean distribution) and the Doppler spectrum, respectively. The key advantages of the EC link-layer modeling and estimation are: 1) ease of translation into QoS guarantees, such as delay bounds; 2) simplicity of implementation; and 3) accuracy, and hence, efficiency in admission control and resource reservation. We illustrate the advantage of our approach with a set of simulation experiments, which show that the actual QoS metric is closely approximated by the QoS metric predicted by the EC link-layer model, under a wide range of conditions.
1,469 citations
"Effective Throughput Analysis of α ..." refers background in this paper
...effective capacity and effective rate) was proposed in [1]....
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...In the context of effective throughput, the maximum constant arrival rate at the transmitter is measured when guaranteed statistical delay constraints are assumed to be present [1]–[3]....
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Book•
01 Dec 2004
TL;DR: This book discusses vector spaces, linear transformations, eigenvalues and eigenvectors, and the singular value decomposition in the context of Kronecker products.
Abstract: Preface 1. Introduction and review 2. Vector spaces 3. Linear transformations 4. Introduction to the Moore-Penrose pseudoinverse 5. Introduction to the singular value decomposition 6. Linear equations 7. Projections, inner product spaces, and norms 8. Linear least squares problems 9. Eigenvalues and eigenvectors 10. Canonical forms 11. Linear differential and difference equations 12. Generalized eigenvalue problems 13. Kronecker products Bibliography Index.
876 citations
01 Jan 2016
726 citations
Additional excerpts
..., the SNR caused by Nakagami-m fading [28] or α-μ fading [29]), the obtained results on effective throughput for those fading distributions can be straightforwardly extended to the case with MISO or MIMO configurations....
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TL;DR: A fading model is introduced, which explores the nonlinearity of the propagation medium and derives the corresponding fading distribution-the alpha-mu distribution-which is in fact a rewritten form of the Stacy (generalized Gamma) distribution.
Abstract: This paper introduces a fading model, which explores the nonlinearity of the propagation medium. It derives the corresponding fading distribution-the alpha-mu distribution-which is in fact a rewritten form of the Stacy (generalized Gamma) distribution. This distribution includes several others such as Gamma (and its discrete versions Erlang and central Chi-squared), Nakagami-m (and its discrete version Chi), exponential, Weibull, one-sided Gaussian, and Rayleigh. Based on the fading model proposed here, higher order statistics are obtained in closed-form formulas. More specifically, level-crossing rate, average fade duration, and joint statistics (joint probability density function, general joint moments, and general correlation coefficient) of correlated alpha-mu variates are obtained, and they are directly related to the physical fading parameters
568 citations
"Effective Throughput Analysis of α ..." refers background in this paper
..., exponential, Rayleigh, Gamma, Weibull, and Nakagami-m) are all special cases of the α-μ model [32], [33]....
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01 Jan 2012
TL;DR: In this paper, a survey of special functions of importance in physics is presented, where appropriate, including generating functions, Rodrigues formulas, relevant differential equation, orthogonality conditions, and applications.
Abstract: This chapter surveys a number of sets of special functions of importance in physics. Where appropriate, the survey includes generating functions, Rodrigues formulas, the relevant differential equation, orthogonality conditions, and applications. The discussion covers Hermite functions (with applications to the quantum harmonic oscillator and to molecular vibrations), Laguerre functions (with application to the hydrogen atom), Chebyshev polynomials (with application to numerical analysis), hypergeometric and confluent hypergeometric functions, the dilogarithm (with application to electronic structure computations), and elliptic integrals.
273 citations