Code Family for Modified Spectral-Amplitude-Coding OCDMA Systems and Performance Analysis

Mohammad Noshad; Kambiz Jamshidi

doi:10.1364/JOCN.2.000344

Journal of Optical Communications and Networking
Vol. 2,
Issue 6,
pp. 344-354
(2010)
•https://doi.org/10.1364/JOCN.2.000344

Code Family for Modified Spectral-Amplitude-Coding OCDMA Systems and Performance Analysis

Mohammad Noshad and Kambiz Jamshidi

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Mohammad Noshad and Kambiz Jamshidi, "Code Family for Modified Spectral-Amplitude-Coding OCDMA Systems and Performance Analysis," J. Opt. Commun. Netw. 2, 344-354 (2010)

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Abstract

A novel family of codes for modified spectral-amplitude-coding optical code division multiple access (SAC-OCDMA) is introduced. The proposed codes exist for more processing gains than the previously reported codes do. In the network using these codes, the number of users can be extended without any essential changes in the previous transmitters. In this study, we propose a construction method for these codes and compare their performance with previously reported codes.

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Code Word	Marked Set, $A (υ)$
1101000	{1, 2, 4}
0110100	{2, 3, 5}
0011010	{3, 4, 6}
0001101	{4, 5, 7}
1000110	{1, 5, 6}
0100011	{2, 6, 7}
1010001	{1, 3, 7}

Code	F	N	ω	λ
M-sequence (m integer)	$2^{m} - 1$	$2^{m} - 1$	$2^{m - 1}$	$2^{m - 2}$
Hadamard (m integer)	$2^{m}$	$2^{m} - 1$	$2^{m - 1}$	$2^{m - 2}$
MQC (p prime)	$p^{2} + p$	$p^{2}$	$P + 1$	1
MFH (Q prime power)	$Q^{2} + Q$	$Q^{2}$	$Q + 1$	1
BIBD (q: prime power)	$q^{2} + q + 1$	$q^{2} + q + 1$	$q + 1$	1
MDW	$3 N +$ $(8 ∕ 3) {[\sin (N π ∕ 3)]}^{2}$	N	4	1
PMP (M: factor of $P - 1$ )	$P^{2}$	$M P^{2}$	$(P - 1) ∕ M$	$⩽ 1$

Marked Sets	Detection Sets
(1, 5)	(1, 5, 6, 7)
(2, 6)	(2, 6, 7, 1)
(3, 7)	(3, 7, 1, 2)
(4, 1)	(4, 1, 2, 3)
(5, 2)	(5, 2, 3, 4)
(6, 3)	(6, 3, 4, 5)
(7, 4)	(7, 4, 5, 6)

Marked Sets	Detection Sets
(1, 2)	(1, 2, 4, 6)
(2, 3)	(2, 3, 5, 7)
(3, 4)	(3, 4, 6, 1)
(4, 5)	(4, 5, 7, 2)
(5, 6)	(5, 6, 1, 3)
(6, 7)	(6, 7, 2, 4)
(7, 1)	(7, 1, 3, 5)


Quantum efficiency of the photodetector	$η = 0.6$
Optical bandwidth of a spectral bin	$Δ υ = 28 GHz$
Electrical bandwidth of the receiver	$B_{0} = 80 MHz$
Central wavelength	$λ_{0} = 1.55 μ m$
Bit rate	$R_{b} = 155 Mbps$
Power of each user at the receiver	$P_{0} = - 10 dBm$
Receiver noise temperature	$T_{r} = 300 K$
Receiver load resistor	$R_{L} = 1000 Ω$

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Journal of Optical Communications and Networking