correaltionfunctiowithinaecificzone,whichcanbeusedinquasi-synchronouscdmasystem,wherethesynchronizationamonguserscanbecontrolledwithinpermiibletimedifference.
inthisthesis,fivesequencedesigntopicsrelatedtothetheoryofloworzerocorrelationzone(lczorzcz)areinvestigated,i.e.,lowerboundsonthecorrelationofthereadingsequencesetwithloworzerocorrelationzone,sequencedesignwithlowcorrelationzone,binaryarraydesignwithloworzerocorrelationzo
ne,orthogonalreadingsequencedesignover,andthelasequencedesign.
basedontheboundsonierproduct,wehaveestablishedseveralboundsonvariouscorrelatiooflcz(zcz)sequences,includeaperiodiccorrelationbound,periodiccorrelationboundandoddcorrelationbound.ourinvestigatonshowsthat,allknownlowerboundsonvariouscorrelatioforordinarysequences,derivedfromboundsonierproduct,canbeextendedtolczorzczsequencesbylimitingthecorrelationoperationrangewithintheloworzerocorrelationzone.
anewclaofpolyphaselczsequencesovergf(p),basedongmwsequences,iscotructed.thesequenceshavethepropertythat,inthelowcorrelationzone,theout-of-phaseautocorrelationandcro-correlationvaluesareallequalto-1.furthermore,thecorrelationvaluesarealmostallequalto-1withinthewholetimedurationexceptforafewvalues.byselectinganaropriatesamplerforapairofm-sequences,alargeclaofasymptoticallyoptimalpolyphaselczsequenceset,canbeobtained.inaddition,byborrowingadifferentstrategy,anotherclaofasymptoticallyoptimalbinarylczsequencessetispresented.
bygeneralizingtheconceptofzczandlczfromone-dimeiontotwo-dimei