TARU PUBLICATIONS
Journal of Interdisciplinary Mathematics cover
Open Access ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502

Freq.: MONTHLY - Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

Issues up to 2022 co-published with and available at:Taylor & Francis Online
submissions@tarupublications.com
Open Access Research Article

A mathematical analysis of the PAPR in the NOMA waveform using SLM algorithm for 64-QAM

, , , *

* Corresponding author · click or hover a name for details

pp. 223–232Vol. 27Issue 2March 2024DOI: 10.47974/JIM-1815XML
Published Online:
19 Mar 2024
Article type:
Research Article
Language:
EN
Article no.:
JIM-1815
Pages:
223–232

Abstract

In Non-Orthogonal Multiple Access (NOMA) technology, a paradigm shift in wireless communication is observed, as it allows numerous users to simultaneously transmit data over the same spectral resources in a non-orthogonal manner. Despite the advancements it brings to the table, NOMA is faced with a notable technical obstacle, that being the elevated Peak-to-Average Power Ratio (PAPR). Elevated PAPR levels can lead to less efficient use of power and a deterioration in the fidelity of the signal. We proposed a Selective Mapping (SLM) as a powerful solution to address this issue. SLM is a PAPR reduction technique that applies controlled phase rotations to the symbols of different users before transmission, aiming to minimize the PAPR of the combined signal. In the context of NOMA, the application of SLM offers several notable advantages. SLM modifies the Power Spectrum Density (PSD), leading to a more uniform and spectrally efficient power distribution over the frequency spectrum. This enhancement in spectral efficiency concurrently lowers the risk of disrupting nearby frequency channels. Moreover, SLM exerts a favorable influence on the Bit Error Rate (BER) in NOMA systems, which contributes to improved transmission accuracy. Utilizing SLM to achieve lower PAPR values significantly diminishes the probability of symbol errors, thus enhancing the dependability. Additionally, it has been observed that the method in question delivers an improvement in PAPR, BER, and PSD with gains of 2.2 dB, 4 dB, and -620 respectively, in comparison to traditional SLM techniques.

Keywords

Subject Classifications

94A05

References

[1] Mohit Kumar Sharma & Arun Kumar “NOMA waveform technique using orthogonal supplementary signal for advanced 5g networks security”, Journal of Discrete Mathematical Sciences and Cryptography, vol. 25, no 4, pp.1125-1136 (2022). 
[2] Y. Hama and H. Ochiai, “Time-Frequency Domain Non-Orthogonal Multiple Access for Power Efficient Communications,” in IEEE Transactions on Wireless Communications, vol. 22, no. 9, pp. 5711-5724 (2023).
[3] Jaiman, Akash, Kumar, Arun, Sharma, Himanshu, Gour, Nidhi, Gour, Nishant & Chakravarty, Sumit, “A mathematical analysis of M-MIMO using ML based signal detection algorithms”, Journal of Discrete Mathematical Sciences and Cryptography, vol. 26, no. 3, pp. 759-766 (2023).
[4] Kumar, A. “Analysis of PAPR on NOMA Waveforms Using Hybrid Algorithm”, Wireless Personal Communications, vol. 132, pp. 1849–1861 (2023). 
[5] Kumar A, Rajagopal K, Gugapriya G, Sharma H, Gour N, Masud M, AlZain MA, Alajmani SH. Reducing PAPR with Low Complexity Filtered NOMA Using Novel Algorithm. Sustainability, vol.14, no. 15, pp. 9631 (2022).
[6] Arun Kumar et al., “PAPR reduction using SLM-PTS-CT hybrid PAPR method for optical NOMA waveform”, Heliyon 9, https://doi.org/10.1016/j.heliyon.2023.e20901 (2023).
[7] Reza Sayyari, Jafar Pourrostam and Hamed Ahmadi, “Efficient PAPR reduction scheme for OFDM-NOMA systems based on DSI & precoding methods”, Physical Communication, vol. 47, 101372, pp. 2021.
[8] Mounir, M., Youssef, M.I. & Aboshosha, A.M. Low-complexity selective mapping technique for PAPR reduction in downlink power domain OFDM-NOMA. EURASIP J. Adv. Signal Process. 2023, 10 (2023).
[9] Hao M-J, Pi W-W. PAPR Reduction in OFDM Signals by Self-Adjustment Gain Method. Electronics. 10(14) : 1672 (2021). https://doi.org/10.3390/electronics10141672.
[10] I. Baig, “A Precoding-Based Multicarrier Non-Orthogonal Multiple Access Scheme for 5G Cellular Networks,” in IEEE Access, vol. 5, pp. 19233-19238 (2017), doi: 10.1109/ACCESS.2017.2752804.
[11] Feng Zou, Zhijun Liu, Xin Hu, and Gang Wang, “A Novel PAPR Reduction Scheme for OFDM Systems Based on Neural Networks”, Wireless Communications and Mobile Computing, Vol. 2021, pp.1-8 (2021).
[12] Kumar, Anil , Gupta, Amit Kumar , Panwar, Deepak , Chaurasia, Sandeep & Goyal, Dinesh. Operating system security with discrete mathematical structure for secure round robin scheduling method with intelligent time quantum, Journal of Discrete Mathematical Sciences and Cryptography, 26:5, 1519–1533 (2023).
[13] Kushwaha, Satpal Singh, Joshi, Sandeep & Gupta, Amit Kumar. An efficient approach to secure smart contract of Ethereum blockchain using hybrid security analysis approach, Journal of Discrete Mathematical Sciences and Cryptography, 26:5, 1499–1517 (2023), DOI: https://doi.org/10.47974/JDMSC-1815.
[14] Joshi, Ruchi, Mathur, Priya, Gupta, Amit Kumar, Singh, Suyesha, Paliwal, Vismita & Nayar, Sejal. Mathematical modeling of intelligent system for predicting effectiveness of premenstrual syndrome, Journal of Interdisciplinary Mathematics, 26:3, 551-562 (2023).

Views: 225Downloads: 6Citations: 4