Construction of two-dimensional wavelength/time optical orthogonal codes using difference family

A new family of two-dimensional (2-D) wavelength/time optical orthogonal codes (OOCs) for asynchronous optical code division multiple access (OCDMA) systems is proposed. The construction scheme uses the difference family (DF), which is an assemblage of difference sets in the combinatorial theory. It...

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Veröffentlicht in:Journal of lightwave technology 2005-11, Vol.23 (11), p.3642-3652
Hauptverfasser: Gu, F.-R., Jingshown Wu
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Jingshown Wu
description A new family of two-dimensional (2-D) wavelength/time optical orthogonal codes (OOCs) for asynchronous optical code division multiple access (OCDMA) systems is proposed. The construction scheme uses the difference family (DF), which is an assemblage of difference sets in the combinatorial theory. It is proven that the proposed codewords satisfy the correlation properties required for the asynchronous OCDMA systems. The code dimension of the proposed codes is more flexible than that of the conventional 2-D codewords. The performance of the system with the proposed codes is analyzed by using the Markov-chain method. Numerical results show that the bit error rate (BER) has a minimal value given the number of simultaneous users. It is also observed that the maximum number of simultaneous users of the system can be achieved by properly choosing both the code weight and cross correlation of the 2-D OOCs.
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The construction scheme uses the difference family (DF), which is an assemblage of difference sets in the combinatorial theory. It is proven that the proposed codewords satisfy the correlation properties required for the asynchronous OCDMA systems. The code dimension of the proposed codes is more flexible than that of the conventional 2-D codewords. The performance of the system with the proposed codes is analyzed by using the Markov-chain method. Numerical results show that the bit error rate (BER) has a minimal value given the number of simultaneous users. It is also observed that the maximum number of simultaneous users of the system can be achieved by properly choosing both the code weight and cross correlation of the 2-D OOCs.</abstract><cop>New York, NY</cop><pub>IEEE</pub><doi>10.1109/JLT.2005.855860</doi><tpages>11</tpages><oa>free_for_read</oa></addata></record>
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source IEEE Electronic Library (IEL)
subjects Applied sciences
Assembly
Autocorrelation
Bandwidth
Bit error rate
Bit error rate (BER)
Code division multiple access
code weight
Coding, codes
Combinatorial analysis
Construction
Correlation
Cross correlation
difference family (DF)
Exact sciences and technology
Information, signal and communications theory
Interference
Markov chain
Mathematical models
Multiaccess communication
optical code division multiple access (OCDMA)
optical orthogonal codes (OOCs)
Optical receivers
Optical telecommunications
Performance analysis
Signal and communications theory
Systems, networks and services of telecommunications
Telecommunication traffic
Telecommunications
Telecommunications and information theory
Transmission and modulation (techniques and equipments)
Two dimensional
Two dimensional displays
Wavelengths
title Construction of two-dimensional wavelength/time optical orthogonal codes using difference family
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