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Irregular SCMA Codebook Design Approaches

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Abstract

The recent scenario for 5G communication demands major rise in user connectivity. To address this issue 5G communication makes use of sparse code multiple access (SCMA) techniques with multi-user-detection. SCMA employs codebook design techniques to enhance the performance parameters which in turn improve the multi user detection. Due to dynamic requirements of the users in 5G a modified version of SCMA: Irregular SCMA is proposed serve dynamic business requirements of the users. This method enforces codebook design with non-uniform degree distribution for the factor matrix. The degree distribution is a matrix that explains the interconnectivity between the users and the resources. To satisfy the performance requirements of a communication system, Irregular SCMA: with non-uniform degree distribution proves to be an optimal solution. The number of codebooks assigned to each user is also non-uniform. For better spreading gain with multi-user connectivity the number of non-zero elements can be increased, whereas for improved connectivity, in case of small packets the number of non-zero elements in the factor matrix is decreased. This article aims at explaining different methods used to design the codebook for Irregular SCMA with its decoding techniques. Considering these methods, an optimal codebook design of irregular SCMA is proposed in this article that yields a better symbol error rate for higher values of SNR.

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Available from the corresponding author upon reasonable request.

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MATLAB.

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Authors

Contributions

MK, MSSR and MSSR, RR conceived of the presented idea. MK, MSSR developed the theory and performed the computations. RR verified the analytical methods. MSSR, RR encouraged MK, MSSR to investigate sub-divided constellation and supervised the findings of this work. All authors discussed the results and contributed to the final manuscript. MK, MSSR and MSSR, RR carried out the experiment. MK, MSSR wrote the manuscript with support from RR. MK, MSSR developed the theoretical formalism, performed the analytic calculations and performed the numerical simulations. Both MK, MSSR and MSSR, RR authors contributed to the final version of the manuscript. MK, MSSR, MSSR, RR conceived and planned the experiments and carried out the simulations. MK, MSSR, MSSR, RR contributed to sample preparation of codebook design and contributed to the interpretation of the results. MK, MSSR took the lead in writing the manuscript. All authors provided critical feedback and helped shape the research, analysis and manuscript. MK, MSSR and MSSR, RR designed the model and the designed the algorithm and analysed the data. MK, MSSR and RR carried out the implementation. MK, MSSR performed the calculations. MK, MSSR wrote the manuscript with input from all authors. RR conceived the study and was in charge of overall direction and planning.MK, MSSR designed and performed the experiments, derived the models and analysed the data and RR helped to carry out the simulations to determine SER. All authors discussed the results and commented on the manuscript. MK, MSSR and MSSR, RR contributed to the design and implementation of the research, to the analysis of the results and to the writing of the manuscript.

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Correspondence to K. Madhura.

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Madhura, K., Rukmini, M.S.S. & Raut, R. Irregular SCMA Codebook Design Approaches. Wireless Pers Commun 131, 2019–2037 (2023). https://doi.org/10.1007/s11277-023-10530-0

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