數(shù)字信號處理實驗指導(dǎo)書

1、ExperimentDiscrete-timeSignalBefamiliarwiththecharacteristicsofdiscrete-timesinusoidalConsider xM(n)=sin(2Mn/N), assume N=12, when M=4,5,7 and 10, draw xM(n) respectively with stem in the range 0n2N-1.Whataretheminimumperiods of abovesignals?Howtodeterminetheminimumperiodofsignalwitharbitrary positi

2、ve integers M and N? The case of MN must be considered.Considerxk(n)=sin(kn),wherek=2k/5.Letk=1,2,4and6,drawthecurvesofxk(n) withstemin therange 0n9.Andallthecurvesshouldbeputinonegraphwith subplot.Howmanydifferentsignalsinthegraph?Pleasegivethereasonwhy the signals are same with different k?Experim

3、entreportGivetheMfilesandtheAnswertheExperimentDiscreteTimeDomainSystemCalculationofdiscrete-timeDeterminethelinearityandshift-invarianceoftheCalculationofdiscrete-timeCalculate the convolutions of the following signals with conv. Draw the curves of x(n), h(n) and y(n)( x(n)* h(n)x(n)0n,h(n)(4/0nx(n

4、)0n,h(n)0nx(n)=0.5nh(n)=If calculate y(n)=x(n)*h(n) withconv ,the problemof infinite lengthsof x(n)andh(n) shouldbe solved. Save the x(n) in the range of 0n24 in vector x, the h(n) in the range of 0n 14 in vector h, the result conv(h,x) in vector y. Draw the y(n) with stem, comparing with 0.5n u(n)*

5、 u(n), please point out which values are true and which values are false.Determinethelinearityandshift-invarianceofthesystems Consider the following three systemsSystem1:w(n)=x(n)-x(n-1)-x(n-2) System2: y(n)=cos(x(n) System3: z(n)=nx(n)wherex(n)istheinput,w(n),y(n)andz(n)aretheConsiderthethreeinputs

6、ignals the output of system1 are stored respectively in vectors w1, w2 and w3(0n5). Draw the curves of w1, w2, and w1+2w2 in one graph.Repeat(1)withRepeat(1)withWhichofthesystemsislinearandshiftinvariantExperimentreportGivetheMfilesandtheAnswertheExperimentFrequencydomainsystemBefamiliarwiththefrequ

7、encycharacteristicsofdiscrete-timeLearntoanalyzesystemsinanalogdomainanddigitaldomainbya ConsiderthesystemH(Z)=Z/（Z-A）,analyzingtheamplitudespectrumandthespectrumH(ejinrange04(1)A= (2)A=-(3)A= AnalyzingtheamplitudespectrumofH（j）intherangeH(S) 34S SDesigntheDFandanalyze theamplitudespectrumintherange

8、Theprototypeisasabove,assumethesamplingintervalTsis0.5s,determinethedigital filter H1(z) with impulse invariance method.AssumethesamplingintervalTsis0.1s.Repeat(1)andobtainthedigitalfilterPlotH1(z)andH2(z)inthesamegraphwithExperimentreportCalculate H1(z)andGivetheMfilesandtheExperimentLearntoanalyze

9、thesignalinfrequencydomainwithLearntocalculatetheconvolutionwithAssumeT=0.0125s，N=16，calculatetheamplitudespectrumandthephasespectrumofsignal x(t)=e-t(t0). And draw the graphs with stem.Compare the spectralanalysisresultsof sinusoidalsequenceswhenthe periodsare 8(or 4)and Calculatetheconvolutionwith

10、FFTandx(n)(10 nh(n) 0 nExperimentreportrequirements Give the M files and the figures.ExperimentDigitalfilterDigitalfilterdesignanddigitalsignalSavethedatainvectory0數(shù)據(jù)文件，后綴名為HighpassfilterExact correspondence at 0.006rad in the behavior of the digital filter with respect to 10 rad/s of the reference

11、prototype analog filter. The prototype isH1(s) sDeterminethedigitalfilterH1(z)usingthebilinearFilterthesignaly0 bytheabovehighpassfilterandsavethefilteredsignalinvectorLowpassfilterTheprototypeH2 (s) sAssume the sampling interval is 0.001s, determine the digital filter H2(z) using the impulse invari

12、ance transformation.Filterthe signaly0 bytheabove lowpassfilterandsave thefilteredsignalinvectory2. 3 Experiment report requirementsCalculate H1(z)and2GivetheM21Givethefiguresofy0,y1,y2, andtheamplitudespectrums1H (ejH (ej)ExperimentTEXTExperimentSignalanalysisandAnalyze the characteristics of the gas-solid signal and calculate the mass of solid passing through the pipe(管道輸運粉體質(zhì)量的計算).Readthe booksaboutmeasuringthe gas-solidmassAnalyzethegas-solidmassflowCalculate