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Proceedings ArticleDOI

BER analysis of PLC system under Rician channel gain over Nakagami-m additive noise

TL;DR: The performance analysis of a PLC system over Rician fading channel under Nakagami-m distributed additive background noise assuming binary phase shift keying modulation scheme is provided and the probability density function of the decision variable is derived.
Abstract: Power line communication (PLC) deals with the transmission of power as well as data through the use of power lines It is an emerging field of communication for the home area network of smart grid The performance of a PLC system is significantly affected by the presence of the additive and multiplicative power line noises The multiplicative PLC noise results in fading in the received signal strength This paper provides the performance analysis of a PLC system over Rician fading channel under Nakagami-m distributed additive background noise assuming binary phase shift keying modulation scheme We derive the probability density function of the decision variable A numerically computable expression of the analytical average bit error rate of the considered system is obtained The validity of the derived analytical expressions is closely verified by the simulated results
Citations
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01 Jan 2016
TL;DR: The table of integrals series and products is universally compatible with any devices to read and is available in the book collection an online access to it is set as public so you can get it instantly.
Abstract: Thank you very much for downloading table of integrals series and products. Maybe you have knowledge that, people have look hundreds times for their chosen books like this table of integrals series and products, but end up in harmful downloads. Rather than reading a good book with a cup of coffee in the afternoon, instead they cope with some harmful virus inside their laptop. table of integrals series and products is available in our book collection an online access to it is set as public so you can get it instantly. Our book servers saves in multiple locations, allowing you to get the most less latency time to download any of our books like this one. Merely said, the table of integrals series and products is universally compatible with any devices to read.

4,085 citations

Journal ArticleDOI
TL;DR: Using the statistics of the instantaneous SNR, the performance of the considered narrowband PLC system is analyzed and new expressions are derived for the outage probability and end-to-end average bit-error-rate.
Abstract: In this paper, we consider a decode-and-forward relay-assisted multihop power-line communication (PLC) system. The statistics of the end-to-end signal-to-noise ratio (SNR) in the destination are studied considering the Gaussian-distributed background and Laplacian-distributed impulsive noises. Using the statistics of the instantaneous SNR, the performance of the considered narrowband (NB) PLC system is analyzed. Particularly, new expressions are derived for the outage probability and end-to-end average bit-error-rate. Moreover, the average channel capacity is also obtained. The analytical results are corroborated through Monte Carlo simulations.

14 citations


Cites background from "BER analysis of PLC system under Ri..."

  • ...The background noise is modeled as a Gaussian-distributed random variable (RV) in [12]–[15], whereas in [6], [10], and [11] the background noise is assumed to be a Nakagami-m distributed RV....

    [...]

Proceedings ArticleDOI
01 Aug 2015
TL;DR: This paper uses a novel gamma approximation to log- normal distribution to evaluate the performance of a PLC system over log-normal fading channel under Nakagami-m distributed additive background noise assuming binary phase shift keying modulation scheme.
Abstract: Power line communication (PLC) utilizes power lines for the purpose of electronic data transmission. The performance of a PLC system is significantly affected by the additive and multiplicative power line noises; the additive noises are of two types, namely background noise and impulsive noise. Whereas, the multiplicative PLC noise leads to fading in the received signal strength. In this paper, we evaluate the performance of a PLC system over log-normal fading channel under Nakagami-m distributed additive background noise assuming binary phase shift keying modulation scheme. The analysis involving log-normal fading is very complicated. Hence we use a novel gamma approximation to log-normal distribution for our analysis. We evaluate the probability density function of the decision variable. A closed-form expression of the analytical average bit error rate of the considered system is derived. We also compute the diversity order of the considered PLC system. The validity of the derived analytical expressions is closely verified by the simulation results.

8 citations


Cites methods from "BER analysis of PLC system under Ri..."

  • ...A numerically computable expression for BER of BPSK transmitted data over Rician fading channel under Nakagami-m additive noise was derived in [16]....

    [...]

Proceedings ArticleDOI
01 Sep 2015
TL;DR: This paper provides the performance analysis of a PLC system over Rician fading channel under Nakagami-m distributed additive background noise assuming binary phase shift keying modulation scheme and derives the probability density function of the decision variable and the instantaneous signal-to- noise ratio (SNR).
Abstract: Power line communication (PLC) deals with the transmission of data through the use of power lines. It is an emerging field of communication for the home area network of smart grid. The presence of the additive and multiplicative power line noises significantly affects the performance of PLC systems. There are two types of additive noises in PLC systems, namely background noise and impulsive noise. The multiplicative PLC noise results in fading in the received signal strength. The Rician fading model has been experimentally found to be applicable to the PLC systems and has been widely used in conventional and current literature on PLC. In this paper, we provide the performance analysis of a PLC system over Rician fading channel under Nakagami-m distributed additive background noise assuming binary phase shift keying modulation scheme. We derive the probability density function of the decision variable and the instantaneous signal-to- noise ratio (SNR). A closed-form expression of the outage probability of the considered system is obtained. The validity of the derived analytical expressions is closely verified by the simulated results.

8 citations


Cites methods from "BER analysis of PLC system under Ri..."

  • ...A numerically computable expression for BER of BPSK transmitted data over Rician fading channel under Nakagamim additive noise was derived in [17]....

    [...]

Proceedings ArticleDOI
10 Jul 2018
TL;DR: This paper statistically analyze the performance of the power line and wireless communication network with selection combining at the receiver in terms of outage probability and calculates the robustness and stability of the system through Monte Carlo simulations.
Abstract: In this paper, we consider the parallel use of the power line and wireless communication network with selection combining at the receiver to enhance the robustness and stability of the system. The attenuation of the transmitted symbol due to a channel is characterized by Nakagami- $m$ and Log-normal distribution for wireless and power line communication (PLC) links, respectively. Moreover, we assume that the additive noise at the receiver is additive white Gaussian (AWGN). We statistically analyze the performance of such system in terms of outage probability. The numerical results are verified through Monte Carlo simulations.

3 citations


Cites methods from "BER analysis of PLC system under Ri..."

  • ...In [4], a PLC system with Rician fading channel has been analyzed, while in [5], [6], [7] and [8] channel is assumed to be Rayleigh-distributed....

    [...]

References
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Book
01 Jan 1943
TL;DR: Combinations involving trigonometric and hyperbolic functions and power 5 Indefinite Integrals of Special Functions 6 Definite Integral Integral Functions 7.Associated Legendre Functions 8 Special Functions 9 Hypergeometric Functions 10 Vector Field Theory 11 Algebraic Inequalities 12 Integral Inequality 13 Matrices and related results 14 Determinants 15 Norms 16 Ordinary differential equations 17 Fourier, Laplace, and Mellin Transforms 18 The z-transform
Abstract: 0 Introduction 1 Elementary Functions 2 Indefinite Integrals of Elementary Functions 3 Definite Integrals of Elementary Functions 4.Combinations involving trigonometric and hyperbolic functions and power 5 Indefinite Integrals of Special Functions 6 Definite Integrals of Special Functions 7.Associated Legendre Functions 8 Special Functions 9 Hypergeometric Functions 10 Vector Field Theory 11 Algebraic Inequalities 12 Integral Inequalities 13 Matrices and related results 14 Determinants 15 Norms 16 Ordinary differential equations 17 Fourier, Laplace, and Mellin Transforms 18 The z-transform

27,354 citations

Book
01 Jan 2002
TL;DR: In this paper, the meaning of probability and random variables are discussed, as well as the axioms of probability, and the concept of a random variable and repeated trials are discussed.
Abstract: Part 1 Probability and Random Variables 1 The Meaning of Probability 2 The Axioms of Probability 3 Repeated Trials 4 The Concept of a Random Variable 5 Functions of One Random Variable 6 Two Random Variables 7 Sequences of Random Variables 8 Statistics Part 2 Stochastic Processes 9 General Concepts 10 Random Walk and Other Applications 11 Spectral Representation 12 Spectral Estimation 13 Mean Square Estimation 14 Entropy 15 Markov Chains 16 Markov Processes and Queueing Theory

12,407 citations

01 Jan 2016
TL;DR: The table of integrals series and products is universally compatible with any devices to read and is available in the book collection an online access to it is set as public so you can get it instantly.
Abstract: Thank you very much for downloading table of integrals series and products. Maybe you have knowledge that, people have look hundreds times for their chosen books like this table of integrals series and products, but end up in harmful downloads. Rather than reading a good book with a cup of coffee in the afternoon, instead they cope with some harmful virus inside their laptop. table of integrals series and products is available in our book collection an online access to it is set as public so you can get it instantly. Our book servers saves in multiple locations, allowing you to get the most less latency time to download any of our books like this one. Merely said, the table of integrals series and products is universally compatible with any devices to read.

4,085 citations

Book ChapterDOI
04 Dec 2017
TL;DR: Probability theory as mentioned in this paper is a framework and tools to quantify and predict the chance of occurrence of an event in the presence of uncertainties, and also provides a logical way to make decisions in situations where the outcomes are uncertain.
Abstract: This chapter focuses on the basic results and illustrate the theory with several numerical examples. Probability theory essentially provides a framework and tools to quantify and predict the chance of occurrence of an event in the presence of uncertainties. Probability theory also provides a logical way to make decisions in situations where the outcomes are uncertain. Probability theory has widespread applications in a plethora of different fields such as financial modeling, weather prediction, and engineering. The literature on probability theory is rich and extensive. The proofs of the major results are not provided and relegated to the references. While there are many different philosophical approaches to define and derive probability theory, Kolmogorov's axiomatic approach is the most widely used. This axiomatic approach begins by defining a small number of precise axioms or postulates and then deriving the rest of the theory from these postulates.

1,563 citations