高级通信原理习题(含解答).pdf

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1、高级通信原理复习题Chapter22-1OneexperimenthasfourmutuallyexclusiveoutcomesAi,=1,2,3,4,andasecondexperimenthasthreeimutuallyexclusiveoutcomesBj,=1,2,3.ThejointprobabilitiesPAB(,)arejijPAB(,)=0.10,(,PAB)=0.08,(,PAB)=0.13111213PAB(,)=0.05,(PAB,)=0.03,(PAB,)=0.09

2、212223PAB(,)=0.05,(PAB,)=0.12,(PAB,)=0.14313233PAB(,)=0.11,(PAB,)=0.04,(PAB,)=0.06414243DeterminetheprobabilitiesPAi(),=1,2,3,4,andPBi(),=1,2,3iJ2-19Determinethemean,theautocorrelationsequenceandthepowerdensityspectrumoftheoutputofasystemwithunitsamp

3、leresponse1(n=0)−=2(n1)hn()=1(n=2)0(otherwise)2whentheinputx(n)isawhite-no/seprocesswithvarianceδ.NChapter44-11ConsiderthefourwaveformsshowninFig.P4-11.aDeterminethedimensionalityofthewaveformsandasetofbasisfunctions.bUsethebasisfunctionstorep

4、resentthefourwaveformsbyvectorsssss,,,..,1234cDeterminetheminimumdistancebclweenanypairofvectors.4-12DetermineasetoforthonormalfunctionsforthefoursignalsshowninFig.P4-12.4-18Determinethesignalspacerepresentationofthefoursignalsst(),k=1,2,3,4showninFi

5、g.P4-18bykusingasbasisfunctionstheorthonormalfunctionft()andft().Plotthesignalspacediagramandshowthat12thissignalsetisequivalenttothatforafour-phasePSKsignal.4-20APAMpartialresponsesignal(PRS)isgeneratedasshowninFig.P4-20byexcitinganideallowpassfilte

6、rofbandwidthWbythesequenceBII=+nnn−1atarate1/TW=2symbols/s.Thesequence{}Iconsistsofbinarydigitsselectedindependentlyfromthenalphabet{1-1}withequalprobability.Hencethefilteredsignalhastheform∞1vt()=∑BgtnTTn(−=),n=−∞2WaSketchthesignalspacediagramforvt(

7、))anddeterminetheprobabilityofoccurrenceofeachsymbol.bDeterminetheautocorrelationandpowerdensityspectrumofthethree-levelcThesignalpointsofthesequence{}BformaMarkovchain.SketchthisMarkovchainandindicatethentransitionprobabilitiesamongthestate.4-21Thel

8、owpassequivalentrepresentationofaPAMsignalis∞vt()=∑IgtnTn(−)n=−∞Supposeg(t)isarectangularpulse:andIaannn=−−2where{}aisasequenceofuncorrelatedbinary-valued(l,-l)randomvariablesthatoccurwithequalnprobability.aDeterminetheautocorrelationfunctionoftheseq