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 |
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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. |
doi_str_mv | 10.1109/JLT.2005.855860 |
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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.</description><identifier>ISSN: 0733-8724</identifier><identifier>EISSN: 1558-2213</identifier><identifier>DOI: 10.1109/JLT.2005.855860</identifier><identifier>CODEN: JLTEDG</identifier><language>eng</language><publisher>New York, NY: IEEE</publisher><subject>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</subject><ispartof>Journal of lightwave technology, 2005-11, Vol.23 (11), p.3642-3652</ispartof><rights>2006 INIST-CNRS</rights><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2005</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c455t-cf3286df40da283328053772ff96fd208bfd82d559d46858d35cca9cf43bcd693</citedby><cites>FETCH-LOGICAL-c455t-cf3286df40da283328053772ff96fd208bfd82d559d46858d35cca9cf43bcd693</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/1561393$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,780,784,796,27924,27925,54758</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/1561393$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=17476796$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Gu, F.-R.</creatorcontrib><creatorcontrib>Jingshown Wu</creatorcontrib><title>Construction of two-dimensional wavelength/time optical orthogonal codes using difference family</title><title>Journal of lightwave technology</title><addtitle>JLT</addtitle><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.</description><subject>Applied sciences</subject><subject>Assembly</subject><subject>Autocorrelation</subject><subject>Bandwidth</subject><subject>Bit error rate</subject><subject>Bit error rate (BER)</subject><subject>Code division multiple access</subject><subject>code weight</subject><subject>Coding, codes</subject><subject>Combinatorial analysis</subject><subject>Construction</subject><subject>Correlation</subject><subject>Cross correlation</subject><subject>difference family (DF)</subject><subject>Exact sciences and technology</subject><subject>Information, signal and communications theory</subject><subject>Interference</subject><subject>Markov chain</subject><subject>Mathematical models</subject><subject>Multiaccess communication</subject><subject>optical code division multiple access (OCDMA)</subject><subject>optical orthogonal codes (OOCs)</subject><subject>Optical receivers</subject><subject>Optical telecommunications</subject><subject>Performance analysis</subject><subject>Signal and communications theory</subject><subject>Systems, networks and services of telecommunications</subject><subject>Telecommunication traffic</subject><subject>Telecommunications</subject><subject>Telecommunications and information theory</subject><subject>Transmission and modulation (techniques and equipments)</subject><subject>Two dimensional</subject><subject>Two dimensional displays</subject><subject>Wavelengths</subject><issn>0733-8724</issn><issn>1558-2213</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2005</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNp9kUtrGzEUhUVooG7SdRfZDIEm3Yyt92MZTJu2GLJJ11NZD1tmPHIkTUz-feQ6YOgiq6t79N1z4R4AviA4RQiq2e_F4xRDyKaSMcnhGZig-mgxRuQDmEBBSCsFph_Bp5w3ECJKpZiAv_M45JJGU0Icmuibso-tDVs35CrovtnrZ9e7YVXWs1LlJu5KMFWPqazj6h9ionW5GXMYVo0N3rvkBuMar7ehf7kE51732X1-qxfgz4_vj_Of7eLh_tf8btEaylhpjSdYcusptBpLUhvIiBDYe8W9xVAuvZXYMqYs5ZJJS5gxWhlPydJYrsgFuD367lJ8Gl0u3TZk4_peDy6OuZOKIyUlYZW8eZfEQimCIKrgt3dBBDGWUlF18Lz-D93EMdXj1MVcIaQ4lxWaHSGTYs7J-W6Xwlanl-rUHTLsaobdIcPumGGd-Ppmq3M9uk96MCGfxgQVXCheuasjF5xzp2_GEVGEvAItlqUx</recordid><startdate>20051101</startdate><enddate>20051101</enddate><creator>Gu, F.-R.</creator><creator>Jingshown Wu</creator><general>IEEE</general><general>Institute of Electrical and Electronics Engineers</general><general>The Institute of Electrical and Electronics Engineers, Inc. (IEEE)</general><scope>97E</scope><scope>RIA</scope><scope>RIE</scope><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SP</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>20051101</creationdate><title>Construction of two-dimensional wavelength/time optical orthogonal codes using difference family</title><author>Gu, F.-R. ; Jingshown Wu</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c455t-cf3286df40da283328053772ff96fd208bfd82d559d46858d35cca9cf43bcd693</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2005</creationdate><topic>Applied sciences</topic><topic>Assembly</topic><topic>Autocorrelation</topic><topic>Bandwidth</topic><topic>Bit error rate</topic><topic>Bit error rate (BER)</topic><topic>Code division multiple access</topic><topic>code weight</topic><topic>Coding, codes</topic><topic>Combinatorial analysis</topic><topic>Construction</topic><topic>Correlation</topic><topic>Cross correlation</topic><topic>difference family (DF)</topic><topic>Exact sciences and technology</topic><topic>Information, signal and communications theory</topic><topic>Interference</topic><topic>Markov chain</topic><topic>Mathematical models</topic><topic>Multiaccess communication</topic><topic>optical code division multiple access (OCDMA)</topic><topic>optical orthogonal codes (OOCs)</topic><topic>Optical receivers</topic><topic>Optical telecommunications</topic><topic>Performance analysis</topic><topic>Signal and communications theory</topic><topic>Systems, networks and services of telecommunications</topic><topic>Telecommunication traffic</topic><topic>Telecommunications</topic><topic>Telecommunications and information theory</topic><topic>Transmission and modulation (techniques and equipments)</topic><topic>Two dimensional</topic><topic>Two dimensional displays</topic><topic>Wavelengths</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Gu, F.-R.</creatorcontrib><creatorcontrib>Jingshown Wu</creatorcontrib><collection>IEEE All-Society Periodicals Package (ASPP) 2005-present</collection><collection>IEEE All-Society Periodicals Package (ASPP) 1998-Present</collection><collection>IEEE Electronic Library (IEL)</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Electronics & Communications Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Journal of lightwave technology</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Gu, F.-R.</au><au>Jingshown Wu</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Construction of two-dimensional wavelength/time optical orthogonal codes using difference family</atitle><jtitle>Journal of lightwave technology</jtitle><stitle>JLT</stitle><date>2005-11-01</date><risdate>2005</risdate><volume>23</volume><issue>11</issue><spage>3642</spage><epage>3652</epage><pages>3642-3652</pages><issn>0733-8724</issn><eissn>1558-2213</eissn><coden>JLTEDG</coden><abstract>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.</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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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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