Performance of the Reed-Solomon-coded underwater optical wireless communication system with orientation-based solar light noise

Saroj Kumar Mahapatra; Shailendra Kumar Varshney

doi:10.1364/JOSAA.453257

Journal of the Optical Society of America A
Vol. 39,
Issue 7,
pp. 1236-1245
(2022)
•https://doi.org/10.1364/JOSAA.453257

Performance of the Reed-Solomon-coded underwater optical wireless communication system with orientation-based solar light noise

Saroj Kumar Mahapatra and Shailendra Kumar Varshney

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Saroj Kumar Mahapatra and Shailendra Kumar Varshney, "Performance of the Reed-Solomon-coded underwater optical wireless communication system with orientation-based solar light noise," J. Opt. Soc. Am. A 39, 1236-1245 (2022)

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Table of Contents Category
- Atmospheric and Oceanic Optics
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About this Article
History
- Original Manuscript: January 7, 2022
- Revised Manuscript: May 3, 2022
- Manuscript Accepted: May 23, 2022
- Published: June 17, 2022

Abstract

Various physical and chemical properties of seawater degrade the performance of the underwater optical wireless communication (UOWC) system. Implementing a forward error correction (FEC) coding scheme, advanced modulation, and signal processing techniques improves the UOWC system performance. So far, the implementation of FEC codes over the UOWC system has not been discussed with the system receiver (Rx) orientations. The undersea background noise is a challenge to the UOWC system, and the solar noise is robust in this category. The system Rx experiences unequal solar noise density when it faces different orientations. This paper evaluates the performance of the UOWC system, implementing the Reed-Solomon (RS) coding scheme when the Rx meets different orientations, and presents a computational model to find out energy-efficient RS code for a specific direction. The theoretical evaluation demonstrates that a fixed RS code is not always energy-efficient to the system when the Rx moves in various orientations.

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Parameter	Value	Parameter	Value
$P_{T x}$	$50 m W$	$B W_{o p t}$	30 nm
$θ$	$15^{\circ}$	$R_{P D}$	$0.5 {A W}^{- 1}$
$θ_{1 / 2}$	$15^{\circ}$	$k_{B}$	$1.38 \times 10^{- 23} m^{2} k g s^{- 2} K^{- 1}$
$c (λ)$	$0.151 m^{- 1}$	$T_{f}$	100%
$K_{V}$	$0.08 m^{- 1}$	$R_{L}$	$50 k Ω$
$R_{f w a t e r}$	1.25%	${PD}_{d i a m e t e r}$	10 mm
$ψ$	$30^{\circ}$	$N F$	1
$ψ_{c}$	$50^{\circ}$	$T_{m}$	$293.15 K$
$G_{c o n c} (ψ_{c})$	3.83	$P_{D A C}$	55 mW
$r_{e x}$	0.1	$P_{L D C}$	9.09 mW
$I_{D}$	1 nA	$P_{T I A}$	125 mW
$c$	$3 \times 10^{8} m / s$	$P_{H P F}$	6.12 mW
$q$	$1.6 \times 10^{- 19} C$	$P_{A G C}$	50 mW
$M_{P D}$	1	$P_{A D C}$	4.1 mW
$B W_{n}$	10 MHz

$t$	(15, $k)$	(31, $k)$	(63, $k)$	(127, $k)$	(255, $k)$
1	0.51	0.88	1.33	2.02	4.02
2	0.61	0.96	1.41	2.12	4.02
3	0.71	1.04	1.50	2.22	4.15
4	0.81	1.13	1.59	2.33	4.15
5	0.91	1.22	1.68	2.43	4.15
6	1.03	1.29	1.78	2.54	4.29
7	1.15	1.40	1.88	2.64	4.29

	VU					HL					VD
RS code	TE	CE	EE	DE	TOE	TE	CE	EE	DE	TOE	TE	CE	EE	DE	TOE
(15, 13)	1.67	0.14	3.00	5.50	10.31	0.57	0.14	3.00	5.50	9.21	0.38	0.14	3.00	5.50	9.02
(15, 11)	0.98	0.16	3.00	7.16	11.30	0.34	0.16	3.00	7.16	10.66	0.22	0.16	3.00	7.16	10.54
(15, 9)	0.80	0.20	3.00	8.83	12.83	0.27	0.20	3.00	8.83	12.30	0.18	0.20	3.00	8.83	12.21
(15, 7)	0.78	0.26	3.00	10.50	14.54	0.26	0.26	3.00	10.50	14.01	0.17	0.26	3.00	10.50	13.93
(15, 5)	0.88	0.37	3.00	12.16	16.41	0.30	0.37	3.00	12.16	15.83	0.20	0.37	3.00	12.16	15.73
(15, 3)	1.24	0.62	3.00	14.16	19.02	0.42	0.62	3.00	14.16	18.20	0.27	0.62	3.00	14.16	18.05
(15, 1)	3.43	1.86	3.00	16.16	24.45	1.10	1.86	3.00	16.16	22.12	0.73	1.86	3.00	16.16	21.75
(31, 29)	3.19	0.13	2.25	3.41	8.98	1.10	0.13	2.25	3.41	6.89	0.73	0.13	2.25	3.41	6.52
(31, 27)	1.71	0.14	2.25	3.93	8.03	0.59	0.14	2.25	3.93	6.91	0.39	0.14	2.25	3.93	6.71
(31, 25)	1.23	0.15	2.25	4.45	8.08	0.42	0.15	2.25	4.45	7.27	0.28	0.15	2.25	4.45	7.13
(31, 23)	1.01	0.16	2.25	5.03	8.45	0.34	0.16	2.25	5.03	7.78	0.23	0.16	2.25	5.03	7.67
(31, 21)	0.88	0.18	2.25	5.61	8.92	0.30	0.18	2.25	5.61	8.34	0.20	0.18	2.25	5.61	8.24
(31, 19)	0.81	0.20	2.25	6.06	9.32	0.28	0.20	2.25	6.06	8.79	0.18	0.20	2.25	6.06	8.69
(31, 17)	0.78	0.22	2.25	6.77	10.02	0.26	0.22	2.25	6.77	9.50	0.17	0.22	2.25	6.77	9.41
(63, 61)	6.28	0.12	1.48	2.03	9.91	2.16	0.12	1.48	2.03	5.79	1.44	0.12	1.48	2.03	5.07
(63, 59)	3.24	0.13	1.48	2.24	7.09	1.12	0.13	1.48	2.24	4.97	0.74	0.13	1.48	2.24	4.59
(63, 57)	2.24	0.13	1.48	2.48	6.33	0.77	0.13	1.48	2.48	4.92	0.51	0.13	1.48	2.48	4.56
(63, 55)	1.74	0.14	1.48	2.72	6.08	0.60	0.14	1.48	2.72	4.94	0.40	0.14	1.48	2.72	4.74
(63, 53)	1.44	0.14	1.48	2.96	6.02	0.49	0.14	1.48	2.96	5.07	0.33	0.14	1.48	2.96	4.91
(63, 51)	1.25	0.15	1.48	3.22	6.10	0.43	0.15	1.48	3.22	5.28	0.28	0.15	1.48	3.22	5.13
(63, 49)	1.11	0.16	1.48	3.49	6.24	0.38	0.16	1.48	3.49	5.51	0.25	0.16	1.48	3.49	5.38
(127, 125)	12.45	0.12	0.98	1.28	14.83	4.29	0.12	0.98	1.28	6.67	2.87	0.12	0.98	1.28	5.25
(127, 123)	6.32	0.12	0.98	1.39	8.81	2.18	0.12	0.98	1.39	4.67	1.45	0.12	0.98	1.39	3.94
(127, 121)	4.28	0.13	0.98	1.50	6.89	1.47	0.13	0.98	1.50	4.08	0.98	0.13	0.98	1.50	3.59
(127, 119)	3.27	0.13	0.98	1.63	6.01	1.12	0.13	0.98	1.63	3.86	0.75	0.13	0.98	1.63	3.49
(127, 117)	2.66	0.13	0.98	1.74	5.51	0.91	0.13	0.98	1.74	3.76	0.61	0.13	0.98	1.74	3.46
(127, 115)	2.25	0.13	0.98	1.86	5.22	0.77	0.13	0.98	1.86	3.74	0.52	0.13	0.98	1.86	3.49
(127, 113)	1.96	0.14	0.98	1.97	5.05	0.67	0.14	0.98	1.97	3.76	0.45	0.14	0.98	1.97	3.54
(255, 253)	24.80	0.12	0.76	1.20	26.88	8.55	0.12	0.76	1.20	10.63	5.71	0.12	0.76	1.20	7.79
(255, 251)	12.50	0.12	0.76	1.20	14.58	4.31	0.12	0.76	1.20	6.39	2.88	0.12	0.76	1.20	4.96
(255, 249)	8.40	0.12	0.76	1.26	10.54	2.89	0.12	0.76	1.26	5.03	1.93	0.12	0.76	1.26	4.07
(255, 247)	6.35	0.12	0.76	1.26	8.49	2.19	0.12	0.76	1.26	4.33	1.46	0.12	0.76	1.26	3.60
(255, 245)	5.12	0.12	0.76	1.33	7.33	1.76	0.12	0.76	1.26	3.90	1.18	0.12	0.76	1.26	3.32
(255, 243)	4.30	0.13	0.76	1.33	6.52	1.48	0.13	0.76	1.33	3.50	0.99	0.13	0.76	1.33	3.21
(255, 241)	3.72	0.13	0.76	1.33	5.94	1.28	0.13	0.76	1.33	3.50	0.85	0.13	0.76	1.33	3.07

Parameter	Value	Parameter	Value
$P_{T x}$	$50 m W$	$B W_{o p t}$	30 nm
$θ$	$15^{\circ}$	$R_{P D}$	$0.5 {A W}^{- 1}$
$θ_{1 / 2}$	$15^{\circ}$	$k_{B}$	$1.38 \times 10^{- 23} m^{2} k g s^{- 2} K^{- 1}$
$c (λ)$	$0.151 m^{- 1}$	$T_{f}$	100%
$K_{V}$	$0.08 m^{- 1}$	$R_{L}$	$50 k Ω$
$R_{f w a t e r}$	1.25%	${PD}_{d i a m e t e r}$	10 mm
$ψ$	$30^{\circ}$	$N F$	1
$ψ_{c}$	$50^{\circ}$	$T_{m}$	$293.15 K$
$G_{c o n c} (ψ_{c})$	3.83	$P_{D A C}$	55 mW
$r_{e x}$	0.1	$P_{L D C}$	9.09 mW
$I_{D}$	1 nA	$P_{T I A}$	125 mW
$c$	$3 \times 10^{8} m / s$	$P_{H P F}$	6.12 mW
$q$	$1.6 \times 10^{- 19} C$	$P_{A G C}$	50 mW
$M_{P D}$	1	$P_{A D C}$	4.1 mW
$B W_{n}$	10 MHz

$t$	(15, $k)$	(31, $k)$	(63, $k)$	(127, $k)$	(255, $k)$
1	0.51	0.88	1.33	2.02	4.02
2	0.61	0.96	1.41	2.12	4.02
3	0.71	1.04	1.50	2.22	4.15
4	0.81	1.13	1.59	2.33	4.15
5	0.91	1.22	1.68	2.43	4.15
6	1.03	1.29	1.78	2.54	4.29
7	1.15	1.40	1.88	2.64	4.29

Abstract

Data availability

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Figures (7)

Tables (3)

Equations (20)

Journal of the Optical Society of America A