Dimmable Visible Light Communication Scheme Based on Punctured Polar Codes

Fig. 4. Statistical results of code weight for sequence $u$ with different parameters. (a) Dimming rate of 0.50; (b) dimming rate of 0.25; (c) dimming rate of 0.20; (d) dimming rate of 0.10

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Fig. 5. Statistical results of sequence $u$ on run length with different parameters. (a) Dimming rate of 0.50; (b) dimming rate of 0.25; (c) dimming rate of 0.20; (d) dimming rate of 0.10

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Fig. 6. Comparison of transmission efficiency of several schemes

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Fig. 7. Distribution of indoor illuminance

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Fig. 8. BER performance under different dimming rates for $R_{C}$ of 0.50 and 0.75

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Fig. 9. BER performance of proposed scheme and reference ones. (a) Dimming rate of 0.20; (b) dimming rate of 0.25

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Table 1. Examples of parameters for different dimming rate $γ$
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Table 1. Examples of parameters for different dimming rate $γ$
Paramter $γ$ $M$ $L_{P}$ $K$ $L_{C S}$
$N$ =1024，
$R_{C}$ =0.50
0.50 1024 0 512 0
0.25 512 0 256 512
0.20 512 104 204 616
0.05 128 26 51 922
$N$ =1024，
$R_{C}$ =0.75
0.50 1024 0 768 0
0.25 512 0 384 512
0.20 512 104 306 616
0.05 128 26 76 922

Table 2. Data statistics of $u$ sequence

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Table 2. Data statistics of $u$ sequence

Parameters	Length of $u$ sequence	Theoretical mean value	Theoretical standard deviation	Statistical mean value	Statistical standard deviation	Max runs of 0 s or 1 s（occurrences）
$N = 1024$ ， $γ = 0.50$ ， $M = 1024$ ， $L_{P} = 0$	1024	512	16.00	511.9968	16.0102	28（1）
$N = 1024$ ， $γ = 0.25$ ， $M = 512$ ， $L_{P} = 0$	512	256	11.30	256.0093	11.3043	28（1）
$N = 1024$ ， $γ = 0.20$ ， $M = 512$ ， $L_{P} = 104$	408	204	10.10	204.0043	10.0957	28（1）
$N = 1024$ ， $γ = 0.10$ ， $M = 256$ ， $L_{P} = 52$	204	102	7.14	101.9920	7.1418	25（1）

Table 3. Comparison of code parameters and transmission efficiency of various coding schemes under dimming rate of 0.50, 0.20, and 0.05

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Table 3. Comparison of code parameters and transmission efficiency of various coding schemes under dimming rate of 0.50, 0.20, and 0.05

$γ$	Scheme	$K$	$N_{F E C}$	$R_{C}$	$N_{C S}$	$N_{F r}$	$η$
0.50	Standard 1	32	64	0.50	0	80	0.400
	Standard 2	128	160	0.80	0	200	0.640
	Kim-LDPC	576	1152	0.50	0	2304	0.250
	Wang-Polar	512	1024	0.50	0	2048	0.250
	Proposed scheme（ $R_{C} = 0.50$ ）	512	1024	0.50	0	1024	0.500
	Proposed scheme（ $R_{C} = 0.75$ ）	768	1024	0.75	0	1024	0.750
0.20	Standard 1	32	64	0.50	120	200	0.160
	Standard 2	128	160	0.80	300	500	0.256
	Kim-LDPC	288	460	0.63	1384	2304	0.125
	Wang-Polar	256	410	0.62	1228	2048	0.125
	Proposed scheme（ $R_{C} = 0.50$ ）	204	408	0.50	616	1024	0.200
	Proposed scheme（ $R_{C} = 0.75$ ）	306	408	0.75	616	1024	0.300
0.05	Standard 1	32	64	0.50	720	800	0.040
	Standard 2	128	160	0.80	1800	2000	0.064
	Proposed scheme（ $R_{C} = 0.50$ ）	51	102	0.50	922	1024	0.050
	Proposed scheme（ $R_{C} = 0.75$ ）	76	102	0.75	922	1024	0.074

Table 4. Parameters of transmitter and receiver

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Table 4. Parameters of transmitter and receiver

Parameter	Value
Room size /（m×m×m）	5×5×3
Number of LED lamps per group	36（6×6）
Distance between LED lamps /cm	4
Range of current /mA	400-600
Semi-angle at half power /（°）	60
LED conversion factor /（W·A^-1）	0.44
Refractive index of optical concentrator	1.5
Field of view /（°）	60
System bandwidth /MHz	100
PD responsivity /（A·W^-1）	0.3
Background current /mA	0.1

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Lin Li, Chao Wang, Jianing Guo, Qi Wu, Jian Zhang. Dimmable Visible Light Communication Scheme Based on Punctured Polar Codes[J]. Acta Optica Sinica, 2022, 42(16): 1606007

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