二值噪聲作用下線性系統(tǒng)隨機共振現(xiàn)象的研究.pdf

1、合肥工業(yè)大學碩士學位論文二值噪聲作用下線性系統(tǒng)隨機共振現(xiàn)象的研究姓名：邱勤偉申請學位級別：碩士專業(yè)：應用數(shù)學指導教師：焦賢發(fā)20100401StochasticResonanceofLinearSystemDrivenbyDichotomicNoiseABSTRACTIngeneral，stochasticresonance(SR)Occurswhenanoutputsignalisanonmonotonicfunctionofthep

2、arametersofnoiseorperiodicsignalinasystemwithnoiseThesignal—tonoiserate(SNR)，theoutputamplitudegain(OAG)arealwaysusedtostudySR，becausetheirthenon—monotonicdependenceofthenoiseparametersandsystemparametersTherefore，morean

3、dmoreresearchersareinterestedintheSNRandOAGofafirstordersystemandasecondordersystemwithnoiseThisarticlemainlydiscussestwoaspectsofSRononehand，SRhasbeeninvestigatedinthefirst—orderlinearsystem，wheredrivenbyGaussianmultipl

4、icativenoiseorPoissonianmultiplicativenoise，buttheadditivenoiseisignoredSRdidnotoccurwhenthefirstorderlinearsystemonlydrivenbyanadditiveGaussianwhitenoiseWeinvestigateSRinthefirst—orderlinearsystemdrivenbyadditiveandmult

5、iplicativedichotomousnoiseNumericalresultsshowthatSRoccurswhenthenoisecorrelationcoefficient名0Ontheotherhand，SRoccursinasecond—orderlinearsystem，wheretheinductanceandthesystemintrinsicfrequencydrivenbyadichotomousnoiseHo

6、wever，SRhasn’tbeenstudiedinasecondorderlinearsystem，wheretwodifferentsystemparametersaredrivenbytwodichotomousnoisesWehavefoundthatSRoccursinalloverdampedsecondordersystem，wherethesystemdampingcoefficientisdrivenbythedic

7、hotomousnoise，andthefrequencyofthedrivingsignalisperturbedbytheanotherdichotomousnoiseBasedonlinearsystemtheoryandthetheoryofsignalandsystem，theexplicitexpressionoftheOAGofthesystemisobtainedTheOAGisanonmonotonicfunction

8、ofthesystemintrinsicfrequencythesystemdampingcoefficient，thefrequencyofthedrivingsignal，thecorrelationrateofthedichotomousnoise，andthecouplingintensitybetweenthetwonoisesNumericalresultsshowthattheSROCCUrswhenthesystempa