scholarly journals LCR and AFD of the Products of Nakagami-m and Nakagami-m Squared Random Variables: Application to Wireless Communications Through Relays

2021 ◽  
Author(s):  
Caslav Stefanovic ◽  
Ivan Milovanovic ◽  
Mihajlo Stefanovic
Keyword(s):  
Fading Channels ◽  
Random Variables ◽  
System Model ◽  
Model Parameters ◽  
Free Space Optical ◽  
Amplify And Forward ◽  
Level Crossing ◽  
Level Crossing Rate ◽  
Statistical Results ◽  
Af Relaying

Abstract The paper considers level crossing rate (LCR) and average fade du- ration (AFD) of the product of independent and identically distributed (i.i.d) Nakagami-m (NM) and double NM squared (also known as gamma-gamma) random variables (RVs). The derived statistical results are than related to the radio-frequency (RF) - free space optical (FSO), dual-hop (DH), amplify- and forward (AF) relaying system over non turbulent-induced-fading channels (nTIFCs) and turbulent-induced-fading channels (TIFCs). The obtained re- sults of DH-AF, RF-FSO system over TIFCs and nTIFCs are numerically evaluated and graphically presented for all system model parameters.

Level Crossing Rate and Average Fade Duration in $\mathcal{F}$ Composite Fading Channels

2020 ◽  
Vol 9 (3) ◽  
pp. 281-284 ◽  
Author(s):  
Seong Ki Yoo ◽  
Simon L. Cotton ◽  
Paschalis C. Sofotasios ◽  
Sami Muhaidat ◽  
George K. Karagiannidis
Keyword(s):  
Fading Channels ◽  
Level Crossing ◽  
Level Crossing Rate ◽  
Composite Fading ◽  
Average Fade Duration

scholarly journals Performance Analysis of Amplify and Forward Cooperative Networks over Rayleigh and Nakagami-m Channels based Relaying Selection

2016 ◽  
Vol 15 (5) ◽  
pp. 6749-6756
Author(s):  
Ali Abdulwahhab Mohammed ◽  
Li Yu ◽  
Li Yu ◽  
Manar Al-Kali ◽  
Manar Al-Kali ◽  
...  
Keyword(s):  
Performance Analysis ◽  
Closed Form ◽  
Density Function ◽  
Fading Channels ◽  
Relay Selection ◽  
Cooperative Networks ◽  
Amplify And Forward ◽  
The Impact ◽  
Af Relaying ◽  
Relaying System

In this paper investigates the performance, analysis of amplify and forward (AF) cooperative networks with the relay selection over  Nakagami-m and Rayleigh fading channels and  M-ary phase shift keying (MPSK) modulations. New closed form expressions are derived for the general cases of Rayleigh and Nakagami-m fading channels. cumulative density function (CDF), probability density function (PDF) of the end –to - end signal –to – nois ratio (SNR) of a dual-hop opportunistic AF relaying system, moment generating function (MGF), symbol error rate (SER) and outage probability (Pout). and the first  closed-form study for opportunistic AF relaying system where the best node is selected from a number of candidate intermediate nodes to relay the data signal between the source and the destination. Simulation results reveal that the PDF , CDF, Pout and SER performance downgrades either the m parameter or the number of relays increases. Our simulations compared between Rayleigh and Nakagami-m links for a different number of relays. In addition, different modulation techniques are examined to show the effect of the modulation scheme which was used over Rayleigh and Nakagami-m fading channels on the cooperative networks. The obtained results proved the impact of m parameters, relay selection and modulation index on the pout and SER performance.

scholarly journals Performance Analysis of RIS-Assisted FSO Communications over Fisher–Snedecor F Turbulence Channels

2021 ◽  
Vol 11 (21) ◽  
pp. 10149
Author(s):  
Caslav Stefanovic ◽  
Máximo Morales-Céspedes ◽  
Ana García Armada
Keyword(s):  
Fading Channels ◽  
Direct Detection ◽  
Signal To Noise Ratio ◽  
Moment Generating Function ◽  
Cumulative Distribution ◽  
Model Parameters ◽  
Free Space Optical ◽  
F Distribution ◽  
The Moment ◽  
Analytical Expressions

The Fisher–Snedecor (F-S) F distribution has recently been introduced as a tractable turbulence-induced (TI) fading model that fits well with the experimental data. This paper provides a performance evaluation of a free-space optical (FSO) re-configurable intelligent surface (RIS)-assisted communications (ACs) link over the F-S F TI fading channels, assuming the intensity modulation–direct detection (IM–DD) technique. In particular, novel and closed-form (C-F) analytical expressions for the probability density function (PDF) and cumulative distribution function (CDF) of the end-to-end signal-to-noise ratio (SNR) in terms of Gaussian hyper-geometric functions are efficiently derived. Capitalizing on the obtained results, novel C-F analytical expressions for the moment generating function (MMGF), outage probability (OP), average bit error rate (BER) and ergodic channel capacity (Cγ) of the FSO RIS-ACs system over the F-S F TI fading channels are provided and numerically evaluated under the various TI fading severity conditions. Furthermore, the second-order (S-O) statistical expressions for the level crossing rate (LCR) and average fade duration (AFD) are obtained and thoroughly examined for various FSO RIS-ACs system model parameters.

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