Analysis of Low-Bit Soft-Decision Error Correction in Optical Front Ends

M. Moayedi Pour Fard; G. Cowan; O. Liboiron-Ladouceur

doi:10.1364/JOCN.7.000885

Journal of Optical Communications and Networking
Vol. 7,
Issue 9,
pp. 885-897
(2015)
•https://doi.org/10.1364/JOCN.7.000885

Analysis of Low-Bit Soft-Decision Error Correction in Optical Front Ends

M. Moayedi Pour Fard, G. Cowan, and O. Liboiron-Ladouceur

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M. Moayedi Pour Fard, G. Cowan, and O. Liboiron-Ladouceur, "Analysis of Low-Bit Soft-Decision Error Correction in Optical Front Ends," J. Opt. Commun. Netw. 7, 885-897 (2015)

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About this Article
History
- Original Manuscript: February 18, 2015
- Revised Manuscript: June 22, 2015
- Manuscript Accepted: July 26, 2015
- Published: August 17, 2015

Abstract

A novel methodology for analyzing the advantageous decoding performance of multibranch configurations of low-bit optical soft-decision forward error correction receivers is presented. The decoding performance and noise behavior of three front-end schemes are evaluated and compared. Arising from a multiple-branch configuration, the concept of inconsistency in the decoder (thermometer code) is presented and used to optimize decoding performance. The experimentally validated methodology considers both optically amplified long-haul and short-reach applications.

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$D_{1}$	$D_{0}$	$D_{- 1}$	Thermometer Code
0	0	0	Consistent
0	0	1	Consistent
0	1	0	Inconsistent
0	1	1	Consistent
1	0	0	Inconsistent
1	0	1	Inconsistent
1	1	0	Inconsistent
1	1	1	Consistent

Thermometer Code
$D_{1}$	$D_{0}$	$D_{- 1}$	$x = 0$	$x = 1$	$P (x = 0 \| y)$	$P (x = 1 \| y)$	$LLR (y)$
0	0	0	468,818	862	0.4471	0.0008	−6.30
0	0	1	21,569	1372	0.0205	0.0013	−2.75
1	0	1	11,899	19,522	0.0113	0.0186	0.50
0	1	0	19,848	11,904	0.0189	0.0114	−0.51
0	1	1	1324	21,942	0.0012	0.0209	2.81
1	1	1	830	468,686	0.0008	0.4470	6.33

	TX and Channel Noise Source Are Dominant		RX Noise Source Is Dominant
2-bit SD Topology	HD-B $Q$ -factor	SD-B $Q$ -factor	HD-B $Q$ -factor	SD-B $Q$ -factor
E fan-out	8.00 dB	—	8.00 dB	—
H, 90/10	7.94 dB	0.41 dB	7.09 dB	$- 11.95 dB$
H, 80/20	7.85 dB	4.50 dB	6.07 dB	$- 5.94 dB$
H, 70/30	7.74 dB	6.09 dB	4.92 dB	$- 2.42 dB$
H, 60/40	7.56 dB	6.87 dB	3.58 dB	0.07 dB
H, 50/50	7.30 dB	7.30 dB	2.00 dB	2.00 dB
O, 90/5/5	7.94 dB	$- 4.90 dB$	7.09 dB	$- 17.97 dB$
O, 80/10/10	7.85 dB	0.41 dB	6.07 dB	$- 11.95 dB$
O, 70/15/15	7.74 dB	3.00 dB	4.92 dB	$- 8.43 dB$
O, 60/20/20	7.56 dB	4.50 dB	3.58 dB	$- 5.94 dB$
O, 50/25/25	7.30 dB	5.45 dB	2.00 dB	$- 4.00 dB$
O, 33/33/33	6.41 dB	6.41 dB	$- 1.51 dB$	$- 1.51 dB$

	3 Bit Thermometer Code			2 Bit Soft Data
	$D_{1}$	$D_{0}$	$D_{- 1}$	H	C
$y < V_{th - 1}$	0	0	0	0	1
$V_{th - 1} < y < V_{th 0}$	0	0	1	0	0
$V_{th 0} < y < V_{th 1}$	0	1	1	1	0
$V_{th 1} < y$	1	1	1	1	1

$D_{1}$	$D_{0}$	$D_{- 1}$	Thermometer Code
0	0	0	Consistent
0	0	1	Consistent
0	1	0	Inconsistent
0	1	1	Consistent
1	0	0	Inconsistent
1	0	1	Inconsistent
1	1	0	Inconsistent
1	1	1	Consistent

Abstract

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Equations (14)

Journal of Optical Communications and Networking