数字信号处理基础实验报告一概要.docx

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数字信号处理基础实验报告一概要.docx

数字信号处理基础实验报告一概要

LaboratoryExercise1(2classhours)

DISCRETE-TIMESIGNALS:

TIME-DOMAINREPRESENTATION

Project1.1Unitimpulseandunitstepsequences

AcopyofProgramP1_1isgivenbelow.

%ProgramP1_1

%GenerationofaUnitimpulseSequence

clf;

%Generateavectorfrom-10to20

n=-10:

20;

%Generatetheunitimpulsesequence

delta=[zeros(1,10)1zeros(1,20)];

%Plottheunitimpulsesequence

stem(n,delta);

xlabel('Timeindexn');ylabel('Amplitude');

title('UnitImpulseSequence');

axis([-102001.2]);

Answers:

Q1.1Theunitimpulsesequenceδ[n]generatedbyrunningProgramP1_1isshownbelow:

Q1.2ThemodifiedProgramP1_1togenerateadelayedunitsamplesequenceδd[n]withadelayof11samplesisgivenbelowalongwiththesequencegeneratedbyrunningthisprogram.

%ProgramQ1.2

%GenerationofaUnitimpulseSequencewithadelayof11samples

clf;

n=-10:

20;

delta=[zeros(1,21)1zeros(1,9)];

stem(n,delta);

xlabel('Timeindexn');ylabel('Amplitude');

title('UnitImpulseSequencewithadelayof11samples');

axis([-102001.2]);

Q1.3ThemodifiedProgramP1_1togenerateaunitstepsequenceu[n]isgivenbelowalongwiththesequencegeneratedbyrunningthisprogram.

%ProgramQ1.3

%Generationofaunitstepsequence

clf;

n=-10:

20;

delta=[zeros(1,10),ones(1,21)];

stem(n,delta);

xlabel('Timeindexn');ylabel('Amplitude');

title('UnitStepSequence');

axis([-102001.2]);

Q1.4ThemodifiedProgramP1_1togenerateaunitstepsequenceud[n]withanadvanceof7samplesisgivenbelowalongwiththesequencegeneratedbyrunningthisprogram.

%ProgramQ1.4

%Generationofaunitstepsequencewithanadvanceof7samples

clf;

n=-10:

20;

delta=[zeros(1,17),ones(1,14)];

stem(n,delta);

xlabel('Timeindexn');ylabel('Amplitude');

title('UnitStepSequencewithanadvanceof7samples');

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:

Q1.5Thecomplex-valuedexponentialsequencegeneratedbyrunningProgramP1_2isshownbelow:

Q1.6Thepurposeoftheoperatorrealis:

Complexrealpart.确定一个复数或矩阵的实部;

Thepurposeoftheoperatorimagis:

Compleximagepart.确定一个复数或矩阵的虚部.

Q1.7Thepurposeofthecommandsubplotis:

Createaxesintiledpositions.(将图形窗口分成多个矩形窗格来显示多个图形)

Q1.8Thereal-valuedexponentialsequencegeneratedbyrunningProgramP1_3isshownbelow:

Q1.9Thedifferencebetweenthearithmeticoperators^and.^is:

^数值乘方,而.^矩阵乘方。

Q1.10Thelengthofthissequenceis36.

ItiscontrolledbythefollowingMATLABcommandline:

n=0:

35.

Q1.11Theenergiesofthereal-valuedexponentialsequencesx[n]generatedinQ1.8computedusingthecommandsumare:

sum(abs(x).*abs(x));

Theenergyofasequencex[n]isdefinedas

Project1.3Sinusoidalsequences

AcopyofProgramP1_4isgivenbelow.

%ProgramP1_4

%Generationofasinusoidalsequence

n=0:

40;

f=0.1;

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;

Answers:

Q1.12ThesinusoidalsequencegeneratedbyrunningProgramP1_4isdisplayedbelow.

Q1.13Theaveragepowerofthegeneratedsinusoidalsequenceis:

P=sum(abs(x).*abs(x))/length(n);

Theaveragepowerofperiodicalsignal

isdefinedas

,whereNistheperiodof

.

Q1.14Thepurposeofaxiscommandis:

Controlaxisscalingandappearance.(手工设置图中坐标尺度)

Thepurposeofgridcommandis:

Gridlines.(在当前图形上增加或减少网络线)

Q1.15Thesinusoidalsequenceoflength50,frequency0.08,amplitude2.5,andphaseshiftof90degreesgeneratedbymodifyingProgramP1_4isdisplayedbelow.

Q1.16ByreplacingthestemcommandinProgramP1_4withtheplotcommand,theplotobtainedisasshownbelow:

Q1.17ByreplacingthestemcommandinProgramP1_4withthestairscommandtheplotobtainedisasshownbelow:

Project1.4SamplingofaSinusoidalSignal

AcopyofProgramP1_5isgivenbelow:

Answers:

Q1.18Theplotsofthecontinuous-timesignalanditssampledversiongeneratedbyrunningProgramP1_5areshownbelow:

Q1.19Theplotsofthecontinuous-timesinusoidalsignaloffrequency3HzanditssampledversiongeneratedbyrunningamodifiedProgramP1_5areshownbelow:

Theplotsofthecontinuous-timesinusoidalsignaloffrequency7HzanditssampledversiongeneratedbyrunningamodifiedProgramP1_5areshownbelow:

Basedontheseresultswemakethefollowingobservations

Project1.5Drawthefollowingsignals

Q1.20

clc;clear;closeall;

clf;

n=-10:

20;

delta1=[zeros(1,10),ones(1,21)];

delta2=[ones(1,18),zeros(1,13)];

delta=delta1.*delta2;

stem(n,delta);

xlabel('Timeindexn');ylabel('Amplitude');

title('x[n]=u[n]u[7-n]');

axis([-102001.2]);

Q1.21

clc;clear;closeall;

clf;

n=-10:

20;

delta=[zeros(1,10),ones(1,21)];

x=0.5*exp(-0.3*n).*sin(n*pi/4).*delta;

stem(n,x);

xlabel('Timeindexn');ylabel('Amplitude');

title('x[n]=0.5exp(-0.3n)sin(n*pi/4)u[n]');

Q1.22

clc;clear;closeall;

clf;

n=-10:

20;

delta=[zeros(1,10),ones(1,21)];

x=3*sin(n*pi/5-2*pi/9).*delta;

stem(n,x);

xlabel('Timeindexn');ylabel('Amplitude');

title('x[n]=3*sin(n*pi/5-2*pi/9)u[n]');

%axis([-10200.41.2]);

 

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