基于volterra自適應(yīng)濾波器的噪聲抵消器的設(shè)計(jì)

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1、基于Volterra自適應(yīng)濾波器的噪聲抵消器的設(shè)計(jì)基于Volterra自適應(yīng)濾波器的噪聲抵消器的設(shè)計(jì)完成日期：指導(dǎo)教師簽字：答辯小組成員簽字：基于Volterra自適應(yīng)濾波器的噪聲抵消器的設(shè)計(jì)基于Volterra自適應(yīng)濾波器的噪聲抵消器的設(shè)計(jì)基于Volterra自適應(yīng)濾波器的噪聲抵消器的設(shè)計(jì)摘要在現(xiàn)代信號(hào)信息處理領(lǐng)域，自適應(yīng)信號(hào)處理是一個(gè)非常重要的分支。隨著研究深入，人們發(fā)現(xiàn)在回聲對(duì)消、高速通信信道等含有非線性干擾的環(huán)境,線性自適應(yīng)濾波器的線性本質(zhì)使其性能并不理想。為了彌補(bǔ)線性濾波器在現(xiàn)實(shí)應(yīng)用中的缺陷，人們?cè)絹?lái)越關(guān)注非線性濾波

2、器的研究。近年來(lái)，非線性濾波器在理論上和應(yīng)用上取得了長(zhǎng)足的進(jìn)步，其中，Volterra濾波器結(jié)構(gòu)簡(jiǎn)單、性能良好，是線性系統(tǒng)在非線性系統(tǒng)中的推廣，被廣泛用于回波抵消、系統(tǒng)辨識(shí)、混沌預(yù)測(cè)等領(lǐng)域。本文主要研究了基于Volterra自適應(yīng)濾波器的噪聲抵消器的設(shè)計(jì)。首先，介紹了Volterra自適應(yīng)濾波器的基礎(chǔ)理論，包括Volterra級(jí)數(shù)模型、現(xiàn)階段非線性自適應(yīng)濾波器的種類(lèi)，以及LMS、RLS自適應(yīng)算法。然后，研究了基于Volterra自適應(yīng)濾波器的噪聲抵消器的設(shè)計(jì)，介紹自適應(yīng)噪聲抵消器的基本原理。最后，設(shè)計(jì)了基于Volterra自適

3、應(yīng)濾波器的噪聲抵消器，進(jìn)行仿真，并對(duì)基于VolterraLMS、VolterraRLS濾波器以及步長(zhǎng)不同的VolterraLMS濾波器的噪聲抵消器的性能進(jìn)行了討論。關(guān)鍵詞：Volterra濾波器；噪聲抵消器；LMS自適應(yīng)算；RLS自適應(yīng)算法基于Volterra自適應(yīng)濾波器的噪聲抵消器的設(shè)計(jì)TheDesignofNoiseCancellerBasedonVolterraAdaptiveFilterAbstractInthefieldofsignalandprocessing,adaptivesignalprocessinghas

4、beenoneofthemajortopicsofsignalprocessingsociety.Inthefilterdesignproblems,linearfilteranditsproblemsettinghavedominatedduetotheadvancedtheoreticalmathematicaltoolsprovidedbythetheoryonlinearsystems.However,despitetheseadvantagesownedbylinearfilteralgorithm,notallsi

5、gnalprocessingproblemscanbesatisfactorilyaddressedthroughtheuseoflinearfilters.Inordertoovercometheshortcomingsofthelinearfilter,moreattentionwaspaidtotheresearchofthenonlinearfilter.OneconstructiveandversatileapproachtononlinearfiltersistheVolterrafilter,whichThasb

6、eenwidelyappliedinfieldsofechocancellation,systemidentification,chaoticforecasting,etc.ThispaperfocusesonthedesignofthenoisecancellerbasedontheVolterraadaptivefilter.Firstly,thebasictheoryoftheVolterraadaptivefilterisintroduced,whichincludestheVolterraseriesmodel,so

7、mekindsofnonlinearadaptivefilteratpresentstage,LMSadaptivealgorithmandRLSadaptivealgorithm.Secondly,thedesignofthenoisecancellerbasedontheVolterraadaptivefilterisstudied,andthebasictheoryofadaptivenoisecancellerisintroduced.Finally,thenoisecancellerisdesignedandsimu

8、lated,andtheperformanceofnoisecancellerbasedonVolterraLMSfilter,VolterraRLSfilterandVolterraLMSfilterswithdifferentstepsizeisdiscussed.Key