Error Performance for Soft Decision Viterbi Decoding Over OOK Optical Space Links

Ikuo OKA; Ichiro ENDO

Error Performance for Soft Decision Viterbi Decoding Over OOK Optical Space Links

Ikuo OKA, Ichiro ENDO

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An analytical method is presented for deriving the BER of optical OOK systems using soft decision Viterbi decoding. An APD and photon counter are employed as a detector, and the background optical noise and dark current noise of the APD are taken into account in the analysis. We employ two kinds of the soft decision boundary, which are the optimum boundary maximizing the cutoff rate R₀ and the equal spacing boundary. For the symbol metric quantization methods both the optimum metric of the logarithm of the soft decision probability and the linear increment metric are utilized. Since the optical channel is not symmetric, we derive the tight upper-bound of the BER conditioned on the data sequence with the aid of the generating function of the employed code. Then averaging the conditional BER by the data sequence, we obtain the average BER. Numerical results of the BER are given for hard decision and 4-level soft decision comparing with the no coding case, and show the significance of the coding gain. Effects of the soft decision boundary and metric quantization method are also examined from the view points of both the BER and the cutoff rate R₀. It is shown that, the linear increment metric system is easily realized, but the BER degrades rapidly with the scintillation. Therefore the boundary spacing should be changed according to the signal level in the linear increment metric case. Furthermore some computer simulations are made to confirm the validity of the analysis.

Publication: IEICE TRANSACTIONS on transactions Vol.E69-E No.9 pp.932-939

Publication Date: 1986/09/25

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Type of Manuscript: PAPER

Category: Communication Systems and Communication Protocols

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Ikuo OKA
Ichiro ENDO

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Ikuo OKA, Ichiro ENDO, "Error Performance for Soft Decision Viterbi Decoding Over OOK Optical Space Links" in IEICE TRANSACTIONS on transactions, vol. E69-E, no. 9, pp. 932-939, September 1986, doi: .
Abstract: An analytical method is presented for deriving the BER of optical OOK systems using soft decision Viterbi decoding. An APD and photon counter are employed as a detector, and the background optical noise and dark current noise of the APD are taken into account in the analysis. We employ two kinds of the soft decision boundary, which are the optimum boundary maximizing the cutoff rate R₀ and the equal spacing boundary. For the symbol metric quantization methods both the optimum metric of the logarithm of the soft decision probability and the linear increment metric are utilized. Since the optical channel is not symmetric, we derive the tight upper-bound of the BER conditioned on the data sequence with the aid of the generating function of the employed code. Then averaging the conditional BER by the data sequence, we obtain the average BER. Numerical results of the BER are given for hard decision and 4-level soft decision comparing with the no coding case, and show the significance of the coding gain. Effects of the soft decision boundary and metric quantization method are also examined from the view points of both the BER and the cutoff rate R₀. It is shown that, the linear increment metric system is easily realized, but the BER degrades rapidly with the scintillation. Therefore the boundary spacing should be changed according to the signal level in the linear increment metric case. Furthermore some computer simulations are made to confirm the validity of the analysis.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e69-e_9_932/_p

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@ARTICLE{e69-e_9_932,
author={Ikuo OKA, Ichiro ENDO, },
journal={IEICE TRANSACTIONS on transactions},
title={Error Performance for Soft Decision Viterbi Decoding Over OOK Optical Space Links},
year={1986},
volume={E69-E},
number={9},
pages={932-939},
abstract={An analytical method is presented for deriving the BER of optical OOK systems using soft decision Viterbi decoding. An APD and photon counter are employed as a detector, and the background optical noise and dark current noise of the APD are taken into account in the analysis. We employ two kinds of the soft decision boundary, which are the optimum boundary maximizing the cutoff rate R₀ and the equal spacing boundary. For the symbol metric quantization methods both the optimum metric of the logarithm of the soft decision probability and the linear increment metric are utilized. Since the optical channel is not symmetric, we derive the tight upper-bound of the BER conditioned on the data sequence with the aid of the generating function of the employed code. Then averaging the conditional BER by the data sequence, we obtain the average BER. Numerical results of the BER are given for hard decision and 4-level soft decision comparing with the no coding case, and show the significance of the coding gain. Effects of the soft decision boundary and metric quantization method are also examined from the view points of both the BER and the cutoff rate R₀. It is shown that, the linear increment metric system is easily realized, but the BER degrades rapidly with the scintillation. Therefore the boundary spacing should be changed according to the signal level in the linear increment metric case. Furthermore some computer simulations are made to confirm the validity of the analysis.},
keywords={},
doi={},
ISSN={},
month={September},}

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TY - JOUR
TI - Error Performance for Soft Decision Viterbi Decoding Over OOK Optical Space Links
T2 - IEICE TRANSACTIONS on transactions
SP - 932
EP - 939
AU - Ikuo OKA
AU - Ichiro ENDO
PY - 1986
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E69-E
IS - 9
JA - IEICE TRANSACTIONS on transactions
Y1 - September 1986
AB - An analytical method is presented for deriving the BER of optical OOK systems using soft decision Viterbi decoding. An APD and photon counter are employed as a detector, and the background optical noise and dark current noise of the APD are taken into account in the analysis. We employ two kinds of the soft decision boundary, which are the optimum boundary maximizing the cutoff rate R₀ and the equal spacing boundary. For the symbol metric quantization methods both the optimum metric of the logarithm of the soft decision probability and the linear increment metric are utilized. Since the optical channel is not symmetric, we derive the tight upper-bound of the BER conditioned on the data sequence with the aid of the generating function of the employed code. Then averaging the conditional BER by the data sequence, we obtain the average BER. Numerical results of the BER are given for hard decision and 4-level soft decision comparing with the no coding case, and show the significance of the coding gain. Effects of the soft decision boundary and metric quantization method are also examined from the view points of both the BER and the cutoff rate R₀. It is shown that, the linear increment metric system is easily realized, but the BER degrades rapidly with the scintillation. Therefore the boundary spacing should be changed according to the signal level in the linear increment metric case. Furthermore some computer simulations are made to confirm the validity of the analysis.
ER -