Abstract
This paper introduces a novel code called two dimensional Pascal’s triangle zero cross correlation (2D-PTZCC) for spectral/spatial coding with its structure of the corresponding system to implement in spectral amplitude coding optical code division multiple access (SAC-OCDMA) systems The novel code is derived from a one dimensional zero cross correlation (1D-ZCC) code using Pascal’s triangle rule. The analytical results prove that the proposed code has totally removed the multiple access interference (MAI), in addition the phase induced intensity noise (PIIN) influence is highly reduced due to the zero cross correlation (ZCC) property. Comparing with the recent developed two-dimensional codes like 2D multi diagonal (2D-MD), 2D dynamic cyclic shift (2D-DCS), 2D diluted perfect difference (2D-DPD) and 2D perfect difference (2D-PD) codes for the same code length. The results of simulation show that the suggested code improve the system capacity and increase the number of simultaneous users reaches 29 % and 64 % comparing to 2D-DPD and 2D-PD codes, respectively. As well, it supplies higher signal power and data bit rates whereas it saves effective source power around −0.81dBm for 2D-DCS and 2D-DPD codes and consumes minor light spectral width. The passage from 1D to 2D ameliorated 1.68 times the system capacity and saved around
References
1. Cherifi A, Yagoubi B, Bouazza BS, Dahman AO. Performance analysis of optical CDMA system based on zero cross correlation (ZCC) code using OFDM modulation. Int. J. Signal Process. 2016;(1):91–96.Search in Google Scholar
2. Jellali N, Moez F, Najjar M. Performance enhancement of OCDMA system based on 3D-Multi-Diagonal codes. 2017 13th Int Wirel Commun Mob Comput Conf IWCMC. 2017;21(2):2105–8.10.1109/IWCMC.2017.7986608Search in Google Scholar
3. Keraf ND, Aljunid SA, Rashidi CBM, Ehkan P. Performance of 2-D hybrid fcc-mdw code on ocdma system with the presence of phase induced intensity noise. ARPN J Eng Appl Sci. 2016;11(22):13203–8.Search in Google Scholar
4. Keraf ND, Aljunid SA, Arief AR, Nurol MN, Anuar MS, Rashidi CBM, et al. Noise mitigation for OCDMA system with wavelength/time 2D hybrid code. 2014 IEEE 5th Int Conf Photonics (ICP). IEEE.2014;(5):2–4.Search in Google Scholar
5. Jellali N, Najjar M, Ferchichi M, Rezig H. Development of new two-dimensional spectral/spatial code based on dynamic cyclic shift code for OCDMA system. Opt Fiber Technol. 2017;36: 26–32.10.1016/j.yofte.2017.02.002Search in Google Scholar
6. Kadhim RA, Fadhil HA, Aljunid SA, Razalli MS. A new two dimensional spectral/spatial multi-diagonal code for noncoherent optical code division multiple access (OCDMA) systems. Opt Commun. 2014;329:28–33.10.1016/j.optcom.2014.04.082Search in Google Scholar
7. Yang CC, Huang JF. Two-dimensional M-matrices coding in spatial/frequency optical CDMA networks. IEEE Photonics Technol Lett. 2003;15:168–70.10.1109/LPT.2002.805780Search in Google Scholar
8. Kadhim RA, Fadhil HA, Aljunid SA, Razalli MS. Review on two dimensional code of noncoherent OCDMA systems. Proc - 4th IEEE Int Conf Control Syst Comput Eng ICCSCE. 2014;(no. November):90–4.10.1109/ICCSCE.2014.7072695Search in Google Scholar
9. Lin CH, Wu J, Yang CL. Noncoherent spatial/spectral optical CDMA system with two-dimensional perfect difference codes. J Light Technol. 2005;23(12):3966–80.10.1109/JLT.2005.859407Search in Google Scholar
10. Yeh BC, Lin CH, Yang CL, Wu J. Noncoherent spectral/spatial optical CDMA system using 2-D diluted perfect difference codes. J Light Technol. 2009;27(13):2420–32.10.1109/JLT.2008.2010721Search in Google Scholar
11. Mostafa S, Mohamed AE-NA, Abd El-Samie FE, Rashed ANZ. Performance analysis of diagonal eigenvalue unity (DEU) code using NAND subtraction and spectral direct detection techniques and its use with triple-play-services in SAC-OCDMA. Wirel Pers Commun. 2015;85(4):1831–49.10.1007/s11277-015-2869-1Search in Google Scholar
12. Nisar KS. Construction of zero cross correlation code using a type of Pascal’s triangle matrix for spectral amplitude coding optical code division multiple access networks. arXiv:1608.08459. 2016.Search in Google Scholar
13. Cobeli C, Zaharescu A. Promenade around Pascal triangle - number motives. Bull Math Soc Sci Math. Roumanie 2013;104(1): 73–98.Search in Google Scholar
14. Najjar M, Jellali N, Ferchichi M, Rezig H. Spectral/spatial optical CDMA code based on diagonal eigenvalue unity. Opt Fiber Technol. 2017;38(no. July): 61–9.10.1016/j.yofte.2017.08.003Search in Google Scholar
15. Ahmed HY, Nisar KS. Diagonal eigenvalue unity (DEU) code for spectral amplitude coding-optical code division multiple access. Opt Fiber Technol. 2013;19(4):335–47.10.1016/j.yofte.2013.04.001Search in Google Scholar
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