混沌信号的重构及其在基于混沌的通信中的应用

本书系统地总结了作者近年来涉及的嵌入在基于混沌的通信中的最基本问题——混沌信号的重构及其应用的研究成果，覆盖了关于混沌信号重构的基本问题和几个高层次的问题。共分为四个层次进行深入的论述:①在无噪声的信道里如何重构原始混沌信号，这是将Takens定理推广到时变的连续时间与离散时间系统；②如何通过噪声污染的混沌信号重构原始混沌系统的动力学；③如何通过噪声污染同时也被信道畸变的混沌信号重构原始混沌系统的动力学；④基于混沌同步的思想重构原始混沌系统的动力学。所有这些问题都是围绕基于混沌的宽带通信在实际通信环境里的实现为研究目的。
该书对于信号与信息处理、非线性电路、通信、智能信息处理和自动化等学科的大专院校高年级学生和有关研究人员具有很强的可读性和重要的参考价值，并能起到抛砖引玉的作用。




Thestudyoftimeserieshastraditionallybeenwithintherealmofstatistics.Alargenumberofboththeoreticalandpracticalalgorithmshavebeendevelopedforcharacterizing,modeling,predictingand?lteringrawdata.Suchtechniquesarewidelyandsuccessfullyusedinabroadrangeofapplications,e.g.,signalprocessingandcommunications.However,statisticalapproachesusemainlylinearmodels,andarethereforeunabletotakeadvantageofrecentdevelopmentsinnonlineardynamics.Inparticular,itisnowwidelyacceptedthatevensimplenonlineardeterministicmechanismscangiverisetocomplexbehavior(i.e.,chaos)andhencetocomplextimeseries.Conventionalstatisticaltime-seriesapproachesareunabletomodelorpredictcomplextimeserieswithareasonabledegreeofaccuracy.Thisisbecausetheymakenouseofthefactthatthetimeserieshasbeengeneratedbyacompletelydeterministicprocess,andhenceascribemostofthecomplexitytorandomnoise.Furthermore,suchapproachescannotyieldmuchusefulinformationaboutthepropertiesoftheoriginaldynamicalsystem.Fortunately,aremarkableresultduetoTakensshowsthatonecanreconstructthedynamicsofanunknowndeterministic?nite-dimensionalsystemfromascalartimeseriesgeneratedbythatsystem.Takens’theoremisactuallyanextensionoftheclassicalWhitney’stheorem.Itisthusconcernedwithpurelydeterministicautonomousdynamicalsystemsandtheframeworkthatitprovidesfortimeseriesanalysisisunabletoincorporateanynotionofrandombehavior.Thismeansthattheprocessofreconstructionisoutsidethescopeofstatisticalanalysisbecauseanysuchanalysiswouldrequireastochasticmodelofonekindoranotherasitsstartingpoint.Thisisre?ectedincommonpractice,wherereconstructionisseenasastraightforwardalgorithmicprocedurethataimstorecoverpropertiesofane......

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