New family of algebraically designed Zero Cross New family of algebraically designed Zero Cross New family of algebraically designed Zero Cross New family of algebraically designed Zero Cross--Correlation

Ahmed Garadi, Ali Djebbari · 2011

Inthispaperwepresentanewtechniqueforconstr uctingzero� crosscorrelationcodes�(ZCC).�Theproposedtechniq uecanbe� adaptedtoanyweightandanynumberofuserswith� minimum� codelength.� Manytechniqueshavebeenproposedfor � constructingzerocrosscorrelationcodes�(ZCC),�am ongthe� popularonesaredetailedin�(1).�Howeverthesecod essuffer� fromvariouslimitationsonewayoranother.� Theco de� constructioniscomplicatedandtheweightisalway srelatedto� thenumberofusers,�especiallyforweightwmoret hanone�(e.g.� ZCC�(2)),�orthecodelengthistoolong�(e.g.�ZCC� (3)�andZCC� (4)).�Longcodelengthisconsidereddisadvantageou sinits� implementationsinceeitherverybandsourcesorna rrowfilter� bandwidthsarerequired.�

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