scholarly journals Performance Analysis of 5G Transmission over Fading Channels with Random IG Distributed LOS Components

2017 ◽  
Vol 2017 ◽  
pp. 1-4
Author(s):  
Dejan Jaksic ◽  
Risto Bojovic ◽  
Petar Spalevic ◽  
Dusan Stefanovic ◽  
Slavisa Trajkovic
Keyword(s):  
Closed Form ◽  
Fading Channels ◽  
Cumulative Distribution ◽  
Component Ratio ◽  
Transmission Parameters ◽  
Inverse Gamma ◽  
Level Crossing Rate ◽  
Distributed Process ◽  
Random Nature ◽  
Probability Density Function Pdf

Mathematical modelling of the behavior of the radio propagation at mmWave bands is crucial to the development of transmission and reception algorithms of new 5G systems. In this study we will model 5G propagation in nondeterministic line-of-sight (LOS) conditions, when the random nature of LOS component ratio will be observed as Inverse Gamma (IG) distributed process. Closed-form expressions will be presented for the probability density function (PDF) and cumulative distribution function (CDF) of such random process. Further, closed-form expressions will be provided for important performance measures such as level crossing rate (LCR) and average fade duration (AFD). Capitalizing on proposed expressions, LCR and AFD will be discussed in the function of transmission parameters.

scholarly journals A Closed-Form Approximation to the Distribution for the Sum of Independent Non-identically Generalized Gamma Variates and Applications

2021 ◽  
Vol 8 (1) ◽  
pp. 33-44
Author(s):  
Toufik Chaayra ◽  
Hussain Ben-azza ◽  
Faissal El Bouanani
Keyword(s):  
Closed Form ◽  
Fading Channels ◽  
Performance Metrics ◽  
Approximate Expression ◽  
Maximal Ratio Combining ◽  
Generalized Gamma ◽  
The Moment ◽  
Probability Density Function Pdf ◽  
Closed Form Approximation ◽  
Fox’S H Function

Evaluating the sum of independent and not necessarily identically distributed (i.n.i.d) random variables (RVs) is essential to study different variables linked to various scientific fields, particularly, in wireless communication channels. However, it is difficult to evaluate the distribution of this sum when the number of RVs increases. Consequently, the complex contour integral will be difficult to determine. Considering this issue, a more accurate approximation of the distribution function is required. By assuming the probability density function (PDF) of a generalized gamma (GG) RV evaluated in terms of a proper subset H1,0 1,1 class of Fox’s H-function (FHF) and the moment-based approximation to estimate the FHF parameters, a closed-form tight approximate expression for the distribution of the sum of i.n.i.d GG RVs and a sufficient condition for the convergence are investigated. The proposed approximate may be an analytical useful tool for analyzing the performance of certain numbers branch maximal-ratio combining receivers subject to GG fading channels. Hence, various closed-form performance metrics are derived and examined in terms of FHF. Numerical simulations are carried out to illustrate the theoretical results.

scholarly journals Performance of Dual-Hop Relaying Over Shadowed Ricean Fading Channels

2011 ◽  
Vol 62 (4) ◽  
pp. 244-248 ◽  
Author(s):  
Aleksandra Cvetković ◽  
Jelena Anastasov ◽  
Stefan Panić ◽  
Mihajlo Stefanović ◽  
Dejan Milić
Keyword(s):  
Lower Bound ◽  
Fading Channels ◽  
Cumulative Distribution Function ◽  
Numerical Results ◽  
Cumulative Distribution ◽  
Performance Gain ◽  
Channel State ◽  
Ricean Fading ◽  
Average Bit Error Probability ◽  
Probability Density Function Pdf

Performance of Dual-Hop Relaying Over Shadowed Ricean Fading Channels In this paper, an analytical approach for evaluating performance of dual-hop cooperative link over shadowed Ricean fading channels is presented. New lower bound expressions for the probability density function (PDF), cumulative distribution function (CDF) and average bit error probability (ABEP) for system with channel state information (CSI) relay are derived. Some numerical results are presented to show behavior of performance gain for the proposed system. Analytical exact and lower bound expression for the outage probability (OP) of CSI assisted relay are obtained and required numerical results are compared.

scholarly journals On the Performance of Cognitive Underlay SIMO Networks over Equally Correlated Rayleigh Fading Channels

2016 ◽  
Vol 5 (1-2) ◽  
Author(s):  
Tu Lam Thanh ◽  
Vo Nguyen Quoc Bao ◽  
Pham Thi Dan Ngoc ◽  
Tran Trung Duy
Keyword(s):  
Fading Channels ◽  
Spectrum Sharing ◽  
Rayleigh Fading ◽  
Ergodic Capacity ◽  
Cumulative Distribution ◽  
Rayleigh Fading Channels ◽  
Input Multiple Output ◽  
Single Input ◽  
Close Form ◽  
Probability Density Function Pdf

The performance of single-input multiple-output (SIMO) cognitive spectrum sharing networks with the presence of equally correlated Rayleigh fading channels is investigated. In particular, based on the truncated infinitive series of cumulative distribution function (CDF) and probability density function (PDF) of the end-to-end signal-to-noise ratios (SNRs), close-form expressions are provided for the system outage performance, bit error rate and ergodic capacity. It is shown that the system performance merely depends on the correlation coefficient between antennas. Monte-Carlo simulations are also contributed to confirm the accuracy of our analysis.

Study on the Nth Best Relay Selection over Nakagami-m Fading Channels

2013 ◽  
Vol 347-350 ◽  
pp. 1561-1565
Author(s):  
Yu Hua Ouyang ◽  
Xiang Dong Jia
Keyword(s):  
Fading Channels ◽  
Relay Selection ◽  
Cumulative Distribution Function ◽  
Signal To Noise Ratio ◽  
Ergodic Capacity ◽  
Cumulative Distribution ◽  
Opportunistic Relaying ◽  
Best Relay Selection ◽  
Error Ratio ◽  
Probability Density Function Pdf

We study the Nth best relay selection schemes over independent and non-identically distributed (i.ni.d) Nakagami-m fading channels. For such opportunistic relaying schemes, we first obtain the closed-form expressions to the probability density function (PDF) and cumulative distribution function (CDF) of the instantaneous end-to-end signal-to-noise ratio (SNR). Then, with the obtained CDF and PDF, three main measurements are investigated, i.e., outage probability, average symbol error ratio (SER), and ergodic capacity. The numerical results show that the simulations match derivations exactly.

scholarly journals BEP/SEP and Outage Performance Analysis of -Branch Maximal-Ratio Combiner for Fading

2009 ◽  
Vol 2009 ◽  
pp. 1-8 ◽  
Author(s):  
Mirza Milišić ◽  
Mirza Hamza ◽  
Mesud Hadžialić
Keyword(s):  
Outage Probability ◽  
Fading Channels ◽  
Error Probability ◽  
Broad Class ◽  
Cumulative Distribution ◽  
Maximal Ratio Combiner ◽  
Model Probability ◽  
Long Time ◽  
Probability Density Function Pdf ◽  
Number Of Branches

Maximal-ratio combiner (MRC) performances in fading channels have been of interest for a long time, which can be seen by a number of papers concerning this topic. In this paper we treat bit error probability (BEP), symbol error probability (SEP) and outage probability of MRC in presence of fading. We will present fading model, probability density function (PDF), and cumulative distribution function (CDF). We will also present PDF, CDF, and outage probability of theL-branch MRC output. BEP/SEP will be evaluated for broad class of modulation types and for coherent and noncoherent types of detection. BEP/SEP and outage performances of the MRC will be evaluated for different number of branches via Monte Carlo simulations and theoretical expressions.

scholarly journals LCR of SC receiver output signal over α-κ-μ multipath fading channels

2016 ◽  
Vol 29 (2) ◽  
pp. 261-268 ◽  
Author(s):  
Suad Suljovic ◽  
Dejan Milic ◽  
Stefan Panic
Keyword(s):  
Fading Channels ◽  
Output Signal ◽  
Multipath Fading ◽  
Selection Combining ◽  
Multipath Fading Channels ◽  
Signal Envelope ◽  
Transmission Parameters ◽  
Dominant Component ◽  
Level Crossing Rate ◽  
Wireless Mobile Communication

Wireless mobile communication system with selection combining (SC) diversity receiver is investigated in this paper. Received signal envelope experiences ?-?-? short term fading resulting in system performance degradation. Level crossing rate (LCR) and average fade duration (AFD) of SC receiver output signal envelope are obtained as rapidly converging infinite series expressions. Numerically evaluated results are presented graphically, in order to discuss the effects of transmission parameters: multipath fading severity, dominant component power and nonlinearity propagation parameter on observed LCR performance of dual SC.

First- and Second-Order Statistics of Interference-Limited Mobile-to-Mobile Weibull Fading Channel

2018 ◽  
Vol 27 (11) ◽  
pp. 1850168 ◽  
Author(s):  
Nenad Milosevic ◽  
Caslav Stefanovic ◽  
Zorica Nikolic ◽  
Milos Bandjur ◽  
Mihajlo Stefanovic
Keyword(s):  
Closed Form ◽  
Fading Channel ◽  
Mobile Station ◽  
Cumulative Distribution ◽  
Weibull Fading ◽  
Second Order Statistics ◽  
Level Crossing Rate ◽  
Statistical Measures ◽  
Channel Parameters ◽  
Theoretical Results

In this paper, we consider a cooperative mobile-to-mobile wireless short-term Weibull fading channel. The source mobile station communicates with the destination via a relay. The channel is considered to be interference-limited, and the interference is present at both relay and the destination. The exact closed-form expressions for the destination mobile station signal-to-interference ratio probability density function and the cumulative distribution function are derived. Approximate numerically efficient closed-form expressions for the level crossing rate and the average fade duration are also derived, using Laplace approximation for a three-fold integral. The influence of the fading channel parameters on the mentioned statistical measures is investigated. The theoretical results are verified by the Monte-Carlo simulation.

scholarly journals Efficient Numerical Methods for Analysis of Square Ratio of κ-μ and η-μ Random Processes with Their Applications in Telecommunications

2018 ◽  
Vol 2018 ◽  
pp. 1-9 ◽  
Author(s):  
Gradimir V. Milovanović ◽  
Suad Suljović ◽  
Stefan R. Panić ◽  
Ismet Kalčo ◽  
Mihajlo Č. Stefanović
Keyword(s):  
Multipath Fading ◽  
Computational Procedure ◽  
Random Processes ◽  
Cumulative Distribution ◽  
Performance Criteria ◽  
Selection Combining ◽  
Weight Functions ◽  
Quadrature Formulas ◽  
Transmission Parameters ◽  
Probability Density Function Pdf

We will provide statistical analysis of the square ratio of κ-μ and η-μ random processes and its application in the signal-to-interference ratio (SIR) based performance analysis of wireless transmission subjected to the influence of multipath fading, modelled by κ-μ fading model, and undesired occurrence of co-channel interference (CCI), distributed as η-μ random process. First contribution of the paper is deriving exact closed expressions for the probability density function (PDF) and cumulative distribution function (CDF) of square ratio of κ-μ and η-μ random processes. Further, a verification of accuracy of these PDF and CDF expressions was given by comparison with the corresponding approximations obtained by the high-precision quadrature formulas of Gaussian type with respect to the weight functions on (0,+∞). The computational procedure of such quadrature rules is provided by using the constructive theory of orthogonal polynomials and the MATHEMATICA package OrthogonalPolynomials created by Cvetković and Milovanović (2004). Capitalizing on obtained expression, important wireless performance criteria, namely, outage probability (OP), have been obtained, as functions of transmission parameters. Also, possible performance improvement is observed through a glance at SC (selection combining) reception employment based on obtained expressions.

Secrecy Performance Analysis over Inverse Gamma Composite Multicast Fading Channels

2020 ◽  
Author(s):  
A. Hanif ◽  
A. S. M. Badrudduza ◽  
M. S. Hossen ◽  
M. K. Kundu ◽  
M. Z. I. Sarkar
Keyword(s):  
Performance Analysis ◽  
Fading Channels ◽  
Inverse Gamma
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