Design Low Complexity SCMA Codebook Using Arnold’s Cat Map
DOI:
https://doi.org/10.26636/jtit.2022.164422Keywords:
chaotic interleaving, codebook design, dimension rotation, Euclidean distance, sparse code multiple accessAbstract
In 5G wireless communications, sparse code multiple access (SCMA) – a multi-dimensional codebook based on a specific category of the non-orthogonal multiple access (NOMA) technique - enables many users to share non-orthogonal resource components with a low level of detection complexity. The multi-dimensional SCMA (MD-SCMA) codebook design presented in this study is based on the constellation rotation and interleaving method. Initially, a subset of the lattice Z 2 is used to form the mother constellation’s initial dimension. The first dimension is then rotated to produce other dimensions. Additionally, interleaving is employed for even dimensions to enhance fading channel performance. Arnold’s chaotic cat map is proposed as the interleaving method to reduce computational complexity. Performance of the SCMA codebook based on interleaving is evaluated by comparing it with selected codebooks for SCMA multiplexing. The metrics used for performance evaluation purposes include bit error rate (BER), peak to average power ratio (PAPR), and minimum Euclidean distance (MED), as well as complexity. The results demonstrate that the suggested codebook with chaotic interleaving offers performance that is equivalent to that of the conventional codebook based on interleaving. It is characterized by lower MED and higher BER compared to computer-generated and 16-star QAM codebook design approaches, but its complexity is lower than that of the conventional codebook based on interleaving.
Downloads
References
[1] Z. Ding, Z. Yang, P. Fan, and H.V. Poor, “On the Performance of Non-Orthogonal Multiple Access in 5G Systems with Randomly Deployed Users”, IEEE Signal Processing Letters, vol. 21, no. 12, pp. 1501–1505, 2014.
View in Google Scholar
[2] Z. Liu and L-L. Yang, “Sparse or dense: a comparative study of code domain NOMA systems”, IEEE Trans. Wireless Commun., vol. 20, no. 8, pp. 4768–4780, 2021.
View in Google Scholar
[3] E. Catak, F. Tekce, O. Dizdar, and L. Durak-Ata, “Multi-user shared access in massive machine-type communication systems via superimposed waveforms”, Physical Communication 37 (2019), 100896, 2019.
View in Google Scholar
[4] L. Dai, B. Wang, Y. Yuan, S. Han, I. Chih-Lin, and Z. Wang, “Non-orthogonal multiple access for 5G: solutions, challenges, opportunities, and future research trends”, IEEE Communications Magazine, vol. 53, no. 9, pp. 74–81, 2015,.
View in Google Scholar
[5] D. Cai, P. Fan, X. Lei, Y. Liu, and D. Chen, “Multi-dimensional SCMA codebook design based on constellation rotation and interleaving”, 83-rd IEEE Vehicular Technology Conference (VTC Spring), pp. 1–5, 2016.
View in Google Scholar
[6] S.A. Hussain, et al., “A review of codebook design methods for sparse code multiple access”, Indonesian Journal of Electrical Engineering and Computer Science, pp. 927–935, 2021.
View in Google Scholar
[7] Y.M.J. Licea, “Resource allocation for uplink code-domain nonorthogonal multiple access”, Ph.D. thesis, Department of Electrical and Electronic Engineering, Faculty of Science and Engineering, Manchester University, 2021 (URL: https://www.research.manchester.ac.uk/portal/files/205626604/FULL_TEXT.PDF).
View in Google Scholar
[8] J.L.L. Bonilla, S.V. Beltran, I.S. Rivera, and F.M. Pinon, “Construction of SCMA CodeBooks using the phase rotation method”, IEEE International Autumn Meeting on Power, Electronics and Computing (ROPEC), pp. 1–8, 2018.
View in Google Scholar
[9] S. Liu, J.Wang, J. Bao, and C. Liu, “Optimized SCMA Codebook Design by QAM Constellation Segmentation With Maximized MED”, IEEE Access, vol. 6, pp. 63232–63242, 2018.
View in Google Scholar
[10] L. Yu, P. Fan, D. Cai, and Z. Ma, “Design and analysis of SCMA codebook based on star-QAM signaling constellations”, IEEE Transactions on Vehicular Technology, vol. 67, no. 11, pp. 10543–10553, 2018.
View in Google Scholar
[11] Y.M. Tabra and B.M. Sabbar, “New Computer Generated-SCMA CodebookWith Maximised Euclidian Distance for 5G”, Iraqi Journal of Information & Communications Technology, vol. 2, no. 2, pp. 9–24, 2019.
View in Google Scholar
[12] Z. Mheich, L. Wen, P. Xiao, and A. Maaref, “Design of SCMA codebooks based on golden angle modulation”, IEEE Trans. Veh. Technol., vol. 68, no. 2, pp. 1501–1509, 2019.
View in Google Scholar
[13] Y-M. Chen and J-W. Chen, “On the design of near-optimal sparse code multiple access codebooks”, IEEE Trans. Commun., vol. 68, no. 5, pp. 2950–2962, 2020.
View in Google Scholar
[14] F. d. Silva, D. Le Ruyet, and B.F. Uchoa-Filho, ”Threshold-Based Edge Selection MPA for SCMA”, IEEE Trans. Veh. Technol., vol. 69, no. 3, pp. 2957–2966, 2020.
View in Google Scholar
[15] M. Vameghestahbanati, “Designing Multidimensional Constellations and Efficient Detection Schemes for Sparse Code Multiple Access (SCMA) Systems”, Ph.D. dissertation, Carleton University, (URL: https://curve.carleton.ca/f481d0f2-ec66-44b4-a783-1c602d2c210a).
View in Google Scholar
[16] G. Peterson, “Arnold’s Cat Map”, Math 45 – Linear Algebra Fall, 1997.
View in Google Scholar
Downloads
Submitted
Published
Issue
Section
License
Copyright (c) 2022 Journal of Telecommunications and Information Technology
This work is licensed under a Creative Commons Attribution 4.0 International License.
