SCMA Codebook Based on Optimization of Mutual Information and Shaping Gain

Sharma, Sanjeev; Deka, Kuntal; Bhatia, Vimal; Gupta, Anubha

doi:10.1109/glocomw.2018.8644383

Cited by 19 publications

(11 citation statements)

References 23 publications

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“…The simulations are carried out to evaluate the performance of the proposed codebooks. For comparison, the following codebooks are considered: • "Zhang [6]" • "Sharma [10]" • "Yu [8]" • "Ma [18]" (Chapter 12 of [18]). As per the thumb rules provided in [19,20], the DE parameters are set to: S P = 20, D = 12, C r = 0.95, α = 0.6 and I max = 80.…”

Section: Simulation Resultsmentioning

confidence: 99%

“…Observe that the proposed codebooks outperform the others by a significant margin. Specifically, there is coding gain of about 1.4 dB at SER=10 −5 over the next best codebooks ("Sharma [10]"). The performance of "Ma [18]" over AWGN channel is not satisfactory.…”

Section: A Awgn Channelmentioning

confidence: 99%

“…4. Observe that in the SNR region below 16 dB, "Shamra [10]" and "Zhang [6]" provide higher values of I L than the Fig. 3: SER performance of the SCMA system using various codebooks for J = 6 and K = 4 in AWGN channel.…”

Section: A Awgn Channelmentioning

confidence: 99%

“…This design was aided by the analysis based on EXtrinsic Information Transfer (EXIT) chart. Sharma et al [10] (referred to as "Sharma [10]") designed the codebooks by maximizing the mutual information and shaping gain. Kim et al proposed a deep-learning-based method where, the codebook is dynamically designed with the objective of minimizing the bit error rate (BER) [11].…”

Section: Introductionmentioning

confidence: 99%

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Design of SCMA Codebooks Using Differential Evolution

Deka¹,

Priyadarsini²,

Sharma³

et al. 2020

Preprint

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Non-orthogonal multiple access (NOMA) is a promising technology which meets the demands of massive connectivity in future wireless networks. Sparse code multiple access (SCMA) is a popular code-domain NOMA technique. The effectiveness of SCMA comes from: (1) the multi-dimensional sparse codebooks offering high shaping gain and (2) sophisticated multi-user detection based on message passing algorithm (MPA). The codebooks of the users play the main role in determining the performance of SCMA system. This paper presents a framework to design the codebooks by taking into account the entire system including the SCMA encoder and the MPA-based detector. The symbol-error rate (SER) is considered as the design criterion which needs to be minimized. Differential evolution (DE) is used to carry out the minimization of the SER over the codebooks. The simulation results are presented for various channel models.

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Section: Simulation Resultsmentioning

confidence: 99%

Section: A Awgn Channelmentioning

confidence: 99%

Section: A Awgn Channelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Design of SCMA Codebooks Using Differential Evolution

Deka¹,

Priyadarsini²,

Sharma³

et al. 2020

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…Noting that Problems ( 14) and ( 15) are the two equivalent forms of the primal problem, one can derive the dual problem for each of the forms. Here, we choose to derive the Lagrange dual of Problem (15) since its QCQP form makes the dual problem derivation much easier than Problem (14). First of all, the Lagrangian of Problem (15) is…”

Section: Dual Problem Of Med Maximization Problemmentioning

confidence: 99%

Downlink SCMA Codebook Design with Low Error Rate by Maximizing Minimum Euclidean Distance of Superimposed Codewords

Huang,

Su,

Lin

et al. 2021

Preprint

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Sparse code multiple access (SCMA), as a codebookbased non-orthogonal multiple access (NOMA) technique, has received research attention in recent years. The codebook design problem for SCMA has also been studied to some extent since codebook choices are highly related to the system's error rate performance. In this paper, we approach the downlink SCMA codebook design problem by formulating an optimization problem to maximize the minimum Euclidean distance (MED) of superimposed codewords under power constraints. While SCMA codebooks with a larger minimum Euclidean distance (MED) are expected to obtain a better BER performance, no optimal SCMA codebook in terms of MED maximization, to the authors' best knowledge, has been reported in the SCMA literature yet. In this paper, a new iterative algorithm based on alternating maximization with exact penalty is proposed for the MED maximization problem. The proposed algorithm, when supplied with appropriate initial points and parameters, achieves a set of codebooks of all users whose MED is larger than any previously reported results. A Lagrange dual problem is derived which provides an upper bound of MED of any set of codebooks. Even though there is still a nonzero gap between the achieved MED and the upper bound given by the dual problem, simulation results demonstrate clear advantages in error rate performances of the proposed set of codebooks over all existing ones. The correctness and accuracy of error curves in the simulation results are further confirmed by the coincidences with the theoretical upper bounds of error rates derived for any given set of codebooks.

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Sparse Code and Hybrid Multiple Access Techniques

Sharma

Deka

2020

Springer Series in Wireless Technology

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SCMA Codebook Based on Optimization of Mutual Information and Shaping Gain

Cited by 19 publications

References 23 publications

Design of SCMA Codebooks Using Differential Evolution

Design of SCMA Codebooks Using Differential Evolution

Downlink SCMA Codebook Design with Low Error Rate by Maximizing Minimum Euclidean Distance of Superimposed Codewords

Sparse Code and Hybrid Multiple Access Techniques

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