An SCMA control channel accessing scheme based on codebook-hopping under hyper-cellular network architecture

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SCIENTIA SINICA Informationis, Volume 47 , Issue 6 : 789-799(2017) https://doi.org/10.1360/N112017-00038

Jin LIAN ^1,2,*, Shidong ZHOU ^1,2, Xiujun ZHANG ^1,2, Yufeng WANG ^1,2

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国家重点基础研究发展计划(973)(2012CB316002)

国家高技术研究发展计划(863)(2015AA01A701)

国家自然科学基金(61201192,61631013)

国家科技重大专项课题(2016ZX03001009)

清华大学自主科研项目(2015Z02-3)

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Figure 1
(Color online) SCMA factor graph when all users adopt different codebook. $L=4$, $N=2$, $K=6$, $U=6$
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Figure 2
(Color online) SCMA factor graph when codebook collision occurs on codebook 3
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Figure 3
(Color online) Codebook collision pattern under codebook-hopping SCMA scheme
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Figure 4
(Color online) Codebook collision pattern under original SCMA scheme
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Figure 5
(Color online) BLER of different schemes
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Figure 6
(Color online) Complexity of different schemes
Table 1 Codebook collision situations with their corresponding probability

$\alpha$ b Probability
1 [6] 0.002%
3[0]*2
[5,1] 0.39%
[4,2] 3.86%
[3,3] 0.64%
2[0]*3
[4,1,1] 0.97%
[3,2,1] 15.43%
2[0]*4
[3,1,1,1] 15.43%
[2,2,1,1] 34.73%
5 [2,1,1,1,1] 23.15%
6 [1,1,1,1,1,1] 1.54%

Table 2 Simulation parameter

Meaning	Simulation parameter
Average accessing users $U$	6
Resources per SCMA sub-block $L$	4
Resources taken up per user per SCMA sub-block $N$	2
SCMA codebook numbers $J$	6
SCMA mother constellation size $M$	16
SCMA sub-block size	4 bits
Information block size	200 bits
Coding efficiency of turbo code	2/3
Channel model	Block fading, Gaussian channel