数字信号处理实验报告1.docx
- 文档编号:30223851
- 上传时间:2023-08-07
- 格式:DOCX
- 页数:19
- 大小:87.77KB
数字信号处理实验报告1.docx
《数字信号处理实验报告1.docx》由会员分享,可在线阅读,更多相关《数字信号处理实验报告1.docx(19页珍藏版)》请在冰豆网上搜索。
数字信号处理实验报告1
Name:
Section:
LaboratoryExercise1
DISCRETE-TIMESIGNALS:
TIME-DOMAINREPRESENTATION
1.1GENERATIONOFSEQUENCES
Project1.1Unitsampleandunitstepsequences
AcopyofProgramP1_1isgivenbelow.
%ProgramP1_1
%GenerationofaUnitSampleSequence
clf;
%Generateavectorfrom-10to20
n=-10:
20;
%Generatetheunitsamplesequence
u=[zeros(1,10)1zeros(1,20)];
%Plottheunitsamplesequence
stem(n,u);
xlabel('Timeindexn');ylabel('Amplitude');
title('UnitSampleSequence');
axis([-102001.2]);
Answers:
Q1.3ThemodifiedProgramP1_1togenerateadelayedunitsamplesequenceud[n]withadelayof11samplesisgivenbelowalongwiththesequencegeneratedbyrunningthisprogram.
%ProgramP1_1
%GenerationofaUnitSampleSequence
clf;
%Generateavectorfrom-10to20
n=-10:
20;
%Generatetheunitsamplesequence
u=[zeros(1,10)1zeros(1,20)];
%Plottheunitsamplesequence
stem(n+11,u);
xlabel('Timeindexn');ylabel('Amplitude');
title('UnitSampleSequence');
axis([03501.2]);
Q1.4ThemodifiedProgramP1_1togenerateaunitstepsequences[n]isgivenbelowalongwiththesequencegeneratedbyrunningthisprogram.
%ProgramP1_1
%GenerationofaUnitSampleSequence
clf;
%Generateavectorfrom-10to20
n=-10:
20;
%Generatetheunitsamplesequence
u=[zeros(1,10)ones(1,21)];
%Plottheunitsamplesequence
stem(n,u);
xlabel('Timeindexn');ylabel('Amplitude');
title('UnitSampleSequence');
axis([-102001.2]);
Project1.2Exponentialsignals
AcopyofProgramsP1_2andP1_3aregivenbelow.
%ProgramP1_2
%Generationofacomplexexponentialsequence
clf;
c=-(1/12)+(pi/6)*i;
K=2;
n=0:
40;
x=K*exp(c*n);
subplot(2,1,1);
stem(n,real(x));
xlabel('Timeindexn');ylabel('Amplitude');
title('Realpart');
subplot(2,1,2);
stem(n,imag(x));
xlabel('Timeindexn');ylabel('Amplitude');
title('Imaginarypart');
%ProgramP1_3
%Generationofarealexponentialsequence
clf;
n=0:
35;a=1.2;K=0.2;
x=K*a.^n;
stem(n,x);
xlabel('Timeindexn');ylabel('Amplitude');
Answers:
Q1.6Thecomplex-valuedexponentialsequencegeneratedbyrunningProgramP1_2isshownbelow:
Q1.8Theresultofchangingtheparametercto(1/12)+(pi/6)*iis–
Q1.11Thereal-valuedexponentialsequencegeneratedbyrunningProgramP1_3isshownbelow:
Q1.14ThesequencegeneratedbyrunningProgramP1_3withtheparameterachangedto0.9andtheparameterKchangedto20isshownbelow:
Q1.22ThemodifiedProgramP1_4togenerateasinusoidalsequenceoffrequency0.9isgivenbelowalongwiththesequencegeneratedbyrunningit.
%ProgramP1_4
%Generationofasinusoidalsequence
n=0:
40;
f=0.9;
phase=0;
A=1.5;
arg=2*pi*f*n-phase;
x=A*cos(arg);
clf;%Clearoldgraph
stem(n,x);%Plotthegeneratedsequence
axis([040-22]);
grid;
title('SinusoidalSequence');
xlabel('Timeindexn');
ylabel('Amplitude');
axis;
AcomparisonofthisnewsequencewiththeonegeneratedinQuestionQ1.17shows-这两个图是一样的,因为第一个图中ω=0.2,第二个图中ω=1.8,cos(0.2)=cos(1.8),所以这两个图相等。
Asinusoidalsequenceoffrequency1.1generatedbymodifyingProgramP1_4isshownbelow.
AcomparisonofthisnewsequencewiththeonegeneratedinQuestionQ1.17shows–这两个图是一样的,因为第一个图中ω=0.2,第二个图中ω=2.2,cos(0.2)=cos(2.2),所以这两个图相等。
Q1.23Thesinusoidalsequenceoflength50,frequency0.08,amplitude2.5,andphaseshiftof90degreesgeneratedbymodifyingProgramP1_4isdisplayedbelow.
Theperiodofthissequenceis–12.5
Project1.4Randomsignals
Answers:
Q1.26TheMATLABprogramtogenerateanddisplayarandomsignaloflength100withelementsuniformlydistributedintheinterval[–2,2]isgivenbelowalongwiththeplotoftherandomsequencegeneratedbyrunningtheprogram:
%ProgramP1_26
%Generationofarandomsequence
n=0:
99;
phase=0;
A=2;
arg=2*pi*rand(1,100)-phase;
x=A*cos(arg);
clf;%Clearoldgraph
stem(n,x);%Plotthegeneratedsequence
grid;
title('RandomSequence');
xlabel('Timeindexn');
ylabel('Amplitude');
axis;
Q1.27TheMATLABprogramtogenerateanddisplayaGaussianrandomsignaloflength75withelementsnormallydistributedwithzeromeanandavarianceof3isgivenbelowalongwiththeplotoftherandomsequencegeneratedbyrunningtheprogram:
%ProgramP1_27
%GenerationofaGaussianrandomsequence
n=0:
74;
x=3^(1/2)*randn(1,75);
clf;%Clearoldgraph
stem(n,x);%Plotthegeneratedsequence
axis([0,75,-5,5]);
grid;
title('GaussianRandomSequence');
xlabel('Timeindexn');
ylabel('Amplitude');
axis;
Q1.28TheMATLABprogramtogenerateanddisplayfivesamplesequencesofarandomsinusoidalsignaloflength31
{X[n]}={Acos(ωon+φ)}
wheretheamplitudeAandthephaseφarestatisticallyindependentrandomvariableswithuniformprobabilitydistributionintherange
fortheamplitudeandintherange0forthephaseisgivenbelow.Alsoshownarefivesamplesequencesgeneratedbyrunningthisprogramfivedifferenttimes.
%ProgramP1_28
%Generationofarandomsequence
n=0:
30;
f=0.1;
phase=2*pi*rand(1,31);
A=4*rand(1,31);
arg=2*pi*f*n+phase;
x=A.*cos(arg);
clf;%Clearoldgraph
stem(n,x);%Plotthegeneratedsequence
axis([031-44])
grid;
title('RandomSequence');
xlabel('Timeindexn');
ylabel('Amplitude');
axis;
1.2SIMPLEOPERATIONSONSEQUENCES
Project1.5SignalSmoothing
AcopyofProgramP1_5isgivenbelow.
%ProgramP1_5
%SignalSmoothingbyAveraging
clf;
R=51;
d=0.8*(rand(R,1)-0.5);%Generaterandomnoise
m=0:
R-1;
s=2*m.*(0.9.^m);%Generateuncorruptedsignal
x=s+d';%Generatenoisecorruptedsignal
subplot(2,1,1);
plot(m,d','r-',m,s,'g--',m,x,'b-.');
xlabel('Timeindexn');ylabel('Amplitude');
legend('d[n]','s[n]','x[n]');
x1=[00x];x2=[0x0];x3=[x00];
y=(x1+x2+x3)/3;
subplot(2,1,2);
plot(m,y(2:
R+1),'r-',m,s,'g--');
legend('y[n]','s[n]');
xlabel('Timeindexn');ylabel('Amplitude');
Answers:
Q1.29ThesignalsgeneratedbyrunningProgramP1_5aredisplayedbelow:
Q1.32Therelationsbetweenthesignalsx1,x2,andx3,andthesignalxare–x1是x的延时,右移一个样本,左侧补零;x2等于x1,两侧补零补齐长度;x3是将x左移一个样本,右侧补零。
Project1.6GenerationofComplexSignals
AcopyofProgramP1_6isgivenbelow.
%ProgramP1_6
%Generationofamplitudemodulatedsequence
clf;
n=0:
100;
m=0.4;fH=0.1;fL=0.01;
xH=sin(2*pi*fH*n);
xL=sin(2*pi*fL*n);
y=(1+m*xL).*xH;
stem(n,y);grid;
xlabel('Timeindexn');ylabel('Amplitude');
Answers:
Q1.34Theamplitudemodulatedsignalsy[n]generatedbyrunningProgramP1_6forvariousvaluesofthefrequenciesofthecarriersignalxH[n]andthemodulatingsignalxL[n],andvariousvaluesofthemodulationindexmareshownbelow:
m=0.4;fH=0.1;fL=0.01;
m=0.5;fH=0.3;fL=0.02;
m=0.8;fH=0.8;fL=0.08;
Date:
Signature:
- 配套讲稿:
如PPT文件的首页显示word图标,表示该PPT已包含配套word讲稿。双击word图标可打开word文档。
- 特殊限制:
部分文档作品中含有的国旗、国徽等图片,仅作为作品整体效果示例展示,禁止商用。设计者仅对作品中独创性部分享有著作权。
- 关 键 词:
- 数字信号 处理 实验 报告