scholarly journals Performance Analysis Of Cooperative Relaying In Nakagami-M Fading Channels

1970 ◽  
Vol 6 (2) ◽  
pp. 1-5
Author(s):  
B Barua ◽  
MZI Sarkar
Keyword(s):  
Probability Density Function ◽  
Probability Density ◽  
Density Function ◽  
Fading Channels ◽  
Generating Function ◽  
Error Probability ◽  
Moment Generating Function ◽  
Cooperative Relaying ◽  
Relay Network ◽  
Symbol Error Probability

This paper is concerned with the analysis of exact symbol error probability (SEP) for cooperative diversity using amplify-and-forward (AF) relaying over independent and non-identical Nakagami-m fading channels. The mathematical formulations for Probability Density Function (pdf) and Moment Generating Function (MGF) of a cooperative link have been derived for calculating symbol error probability with well-known MGF based approach taking M-ary Phase Shift Keying (MPSK) signals as input. The numerical results obtained from this research have been compared with different fading conditions. It is observed that the existence of the diversity link in a relay network plays a dominating role in error performance. Keywords: Symbol Error Probability; Probability Density Function; Moment Generating Function; Nakagami-m fading. DOI: http://dx.doi.org/10.3329/diujst.v6i2.9338 DIUJST 2011; 6(2): 1-5

scholarly journals A probablistic proof of the series representation of the MacDonald function with applications

1998 ◽  
Vol 21 (3) ◽  
pp. 463-466
Author(s):  
M. Aslam Chaudhry ◽  
Munir Ahmad
Keyword(s):  
Probability Density Function ◽  
Probability Density ◽  
Density Function ◽  
Generating Function ◽  
Open Problem ◽  
Series Representation ◽  
Moment Generating Function ◽  
Macdonald Function

A series representation of the Macdonald function is obtained using the properties of a probability density function and its moment generating function. Some applications of the result are discussed and an open problem is posed.

scholarly journals Concomitant of Order Statistics from New Bivariate Gompertz Distribution

2020 ◽  
Vol 18 (2) ◽  
pp. 2-20
Author(s):  
Sumit Kumar ◽  
M. J. S. Khan ◽  
Surinder Kumar
Keyword(s):  
Probability Density Function ◽  
Probability Density ◽  
Order Statistics ◽  
Density Function ◽  
Generating Function ◽  
Moment Generating Function ◽  
Exact Expression ◽  
Gompertz Distribution ◽  
The Mean ◽  
Probability Density Function Pdf

For the new bivariate Gompertz distribution, the expression for probability density function (pdf) of rth order statistics and pdf of concomitant arising from rth order statistics are derived. The properties of concomitant arising from the corresponding order statistics are used to derive these results. The exact expression for moment generating function (mgf) of concomitant of order rth statistics is derived. Also, the mean of concomitant arising from rth order statistics is computed using the mgf of concomitant of rth order statistics, and the exact expression for joint density of concomitant of two non-adjacent order statistics are derived.

On the linear exponential family

1968 ◽  
Vol 64 (2) ◽  
pp. 481-483 ◽  
Author(s):  
J. K. Wani
Keyword(s):  
Probability Density Function ◽  
Probability Density ◽  
Density Function ◽  
Scalar Product ◽  
Exponential Family ◽  
Characterization Theorem ◽  
Random Variable ◽  
Moment Generating Function ◽  
The Moment ◽  
Image Position

In this paper we give a characterization theorem for a subclass of the exponential family whose probability density function is given bywhere a(x) ≥ 0, f(ω) = ∫a(x) exp (ωx) dx and ωx is to be interpreted as a scalar product. The random variable X may be an s-vector. In that case ω will also be an s-vector. For obvious reasons we will call (1) as the linear exponential family. It is easy to verify that the moment generating function (m.g.f.) of (1) is given by

Moment-Generating Function Based Symbol Error Probability Comparison of M-ary Modulation Techniques in Fading Environment

2020 ◽  
Vol 17 (11) ◽  
pp. 5085-5090
Author(s):  
Kapil Gupta ◽  
Rachna Mehta
Keyword(s):  
Phase Shift ◽  
Generating Function ◽  
Error Probability ◽  
Moment Generating Function ◽  
Maximal Ratio Combining ◽  
Phase Shift Keying ◽  
Symbol Error Probability ◽  
Differential Phase Shift ◽  
Receiver Diversity ◽  
Shift Keying

This paper analyses and compare Symbol Error Probability (SEP) of M-ary modulation in different fading environment. Maximal ratio combining (MRC) technique with N branch receiver diversity is taken into consideration for the analysis. Expression for probability of symbol error for M-ary frequency shift keying/M-ary phase shift keying/M-ary differential phase shift key/and M-Level Quadrature Amplitude Modulation are obtained through moment-generating function (MGF) approach. Conventional integration process has probability of uncertainty and erroneousness because of composite mathematical calculations and infinite integration bounds. MGF method is used to avoid complex numerical computation for calculation of SEP. Comparison of SEP for diverse values of Rician factor “K”, Nakagami-M factor, modulation order “M” and diversity order “N” has been carried out.

scholarly journals Symbol Error Probability of DF Relay Selection over Arbitrary Nakagami-mFading Channels

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
George C. Alexandropoulos ◽  
Paschalis C. Sofotasios ◽  
Khuong Ho-Van ◽  
Steven Freear
Keyword(s):  
Fading Channels ◽  
Relay Selection ◽  
Error Probability ◽  
Signal To Noise Ratio ◽  
Moment Generating Function ◽  
Symbol Error Probability ◽  
Decode And Forward ◽  
Shift Keying ◽  
Relaying Systems ◽  
The Moment

We present a new analytical expression for the moment generating function (MGF) of the end-to-end signal-to-noise ratio of dual-hop decode-and-forward (DF) relaying systems with relay selection when operating over Nakagami-mfading channels. The derived MGF expression, which is valid for arbitrary values of the fading parameters of both hops, is subsequently utilized to evaluate the average symbol error probability (ASEP) ofM-ary phase shift keying modulation for the considered DF relaying scheme under various asymmetric fading conditions. It is shown that the MGF-based ASEP performance evaluation results are in excellent agreement with equivalent ones obtained by means of computer simulations, thus validating the correctness of the presented MGF expression.

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