scholarly journals Exact BER Analysis of NOMA with Arbitrary Number of Users and Modulation Orders

Author(s):  
Hamad Yahya ◽  
Emad Alsusa ◽  
Arafat Al-Dweik

<div><div>Non-orthogonal multiple access (NOMA) is a promising candidate for future mobile networks as it enables improved spectral-efficiency, massive connectivity and low latency. This paper derives exact and asymptotic bit error rate (BER) expressions under Rayleigh fading channels for NOMA systems with arbitrary number of users and arbitrary number of receiving antennas and modulation orders, including binary phase-shift keying and rectangular/square quadrature amplitude modulation. Furthermore, the power coefficients' bounds, which ensure users' fairness, and solve the constellation ambiguity problem, are derived for N=2 and 3 users cases with any modulation orders. In addition, this paper determines the optimal power assignment that minimizes the system's average BER. These results provide valuable insight into the system's BER performance and power assignment granularity. For instance, it is shown that the feasible power coefficients range becomes significantly small as the modulation order, or N, increases, where the BER performance degrades due to the increased inter-user interference. Hence, the derived expressions can be crucial for the system scheduler in allowing it to make accurate decisions of selecting appropriate N, modulation orders, and power coefficients to satisfy the users' requirements. The presented expressions are corroborated via Monte Carlo simulations.</div></div><div><br></div>

2020 ◽  
Author(s):  
Hamad Yahya ◽  
Emad Alsusa ◽  
Arafat Al-Dweik

<div>Non-orthogonal multiple access (NOMA) is considered a promising candidate for future mobile networks due to its ability to provide improved spectral-efficiency, massive connectivity and low latency. As such, studying the bit error rate (BER) performance of NOMA is crucial, particularly as its BER performance depends on the power assignment for each user. Therefore, this paper derives exact BER expressions under additive white Gaussian noise (AWGN) and Rayleigh fading channels for an arbitrary number of NOMA users, where each user employs quadrature amplitude modulation (QAM) with an arbitrary modulation order. Furthermore, the power coefficient bounds (PCB), which ensure fairness between users and solve the constellation points ambiguity problem, are derived for the two and three users NOMA system with arbitrary, but identical, modulation orders. However, the procedure to find these bounds for any modulation orders are exemplified. In addition, this paper finds the optimal power assignment that minimizes the system's average BER for N=2 and 3 users cases. The integrity of the analytical expressions is verified by Monte Carlo simulations, where the results give a valuable insight on the system's BER performance and power assignment granularity. It is shown that the feasible power assignment range becomes significantly small as the modulation order, or the number of users, increases, where the BER performance degrades due to the increased inter-user interference (IUI).</div><div><br></div>


2020 ◽  
Author(s):  
Hamad Yahya ◽  
Emad Alsusa ◽  
Arafat Al-Dweik

<div>Non-orthogonal multiple access (NOMA) is considered a promising candidate for future mobile networks due to its ability to provide improved spectral-efficiency, massive connectivity and low latency. As such, studying the bit error rate (BER) performance of NOMA is crucial, particularly as its BER performance depends on the power assignment for each user. Therefore, this paper derives exact BER expressions under additive white Gaussian noise (AWGN) and Rayleigh fading channels for an arbitrary number of NOMA users, where each user employs quadrature amplitude modulation (QAM) with an arbitrary modulation order. Furthermore, the power coefficient bounds (PCB), which ensure fairness between users and solve the constellation points ambiguity problem, are derived for the two and three users NOMA system with arbitrary, but identical, modulation orders. However, the procedure to find these bounds for any modulation orders are exemplified. In addition, this paper finds the optimal power assignment that minimizes the system's average BER for N=2 and 3 users cases. The integrity of the analytical expressions is verified by Monte Carlo simulations, where the results give a valuable insight on the system's BER performance and power assignment granularity. It is shown that the feasible power assignment range becomes significantly small as the modulation order, or the number of users, increases, where the BER performance degrades due to the increased inter-user interference (IUI).</div><div><br></div>


2013 ◽  
Vol 427-429 ◽  
pp. 1241-1245
Author(s):  
Hong Gang He ◽  
Hai Yang Fu

Focused on the communication system of differentially encoded binary phase-shift keying (DBPSK/2DPSK), this paper studies on the influences of inter symbol interferences (ISI) on the bit error rate (BER) performance and derives the BER expression that is applicable for arbitrary sending probabilities of binary symbols using the knowledge of integration and probability theory, which is then demonstrated to be correct by the Monte Caro simulation method.


2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Rashid A. Fayadh ◽  
F. Malek ◽  
Hilal A. Fadhil

When receiving high data rate in ultra-wideband (UWB) technology, many users have experienced multiple-user interference and intersymbol interference in the multipath reception technique. Structures have been proposed for implementing rake receivers to enhance their capabilities by reducing the bit error probability (Pe), thereby providing better performances by indoor and outdoor multipath receivers. As a result, several rake structures have been proposed in the past to reduce the number of resolvable paths that must be estimated and combined. To achieve this aim, we suggest two maximal ratio combiners based on the pulse sign separation technique, such as the pulse sign separation selective combiner (PSS-SC) and the pulse sign separation partial combiner (PSS-PC) to reduce complexity with fewer fingers and to improve the system performance. In the combiners, a comparator was added to compare the positive quantity of positive pulses and negative quantities of negative pulses to decide whether the transmitted bit was 1 or 0. ThePewas driven by simulation for multipath environments for impulse radio time-hopping binary phase shift keying (TH-BPSK) modulation, and the results were compared with those of conventional selective combiners (C-SCs) and conventional partial combiners (C-PCs).


2019 ◽  
Vol 7 (1) ◽  
pp. 30-39
Author(s):  
Fatima faydhe Al- Azzawi ◽  
Faeza Abas Abid ◽  
Zainab faydhe Al-Azzawi

Phase shift keying modulation approaches are widely used in the communication industry. Differential phase shift keying (DPSK) and Offset Quadrature phase shift keying (OQPSK) schemes are chosen to be investigated is multi environment channels, where both systems are designed using MATLAB Simulink and tested. Cross talk and unity of signals generated from DPSK and OQPSK are examined using Cross-correlation and auto-correlation, respectively. In this research a proposed system included improvement in bit error rate (BER) of both systems in  the additive white Gaussian Noise (AWGN) channel, by using the convolutional and block codes, by increasing the ratio of energy in the specular component to the energy in the diffuse component (k) and  the diversity order BER in the fading channels will be improved in both systems.    


Sensors ◽  
2021 ◽  
Vol 21 (13) ◽  
pp. 4347
Author(s):  
Boyun Lyu ◽  
Yu Hua ◽  
Jiangbin Yuan ◽  
Shifeng Li

The Enhanced Loran (eLoran) system is valued for its important role in the positioning, navigation, and timing fields; however, with its current modulation methods, low data rate restricts its development. Ultra narrow band (UNB) modulation is a modulation method with extremely high spectrum utilization. If UNB modulation can be applied to the eLoran system, it will be very helpful. The extended binary phase shift keying modulation in UNB modulation is selected for a detailed study, parameters and application model are designed according to its unique characteristics of signal time and frequency domains, and it is verified through simulation that the application of this modulation not only meets the design constraints of the eLoran system but also does not affect the reception of the respective signals of both parties. Several feasible schemes are compared, analyzed, and selected. Studies have revealed that application of UNB modulation in the eLoran system is feasible, and it will increase the data rate of the system by dozens of times.


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