📄 11.htm
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</span></span> <span style='font-family:宋体;mso-ascii-font-family:"Times New Roman";
mso-hansi-font-family:"Times New Roman"'>符号积分</span><span lang=EN-US
style='color:blue'><o:p></o:p></span></p>
<p class=Normal><span lang=EN-US style='color:blue'>?int(s) <o:p></o:p></span></p>
<p class=Normal><span lang=EN-US style='color:blue'>ans = <o:p></o:p></span></p>
<p class=Normal><span lang=EN-US style='color:blue'>3/5*x^5+x^4+1/2*x^2+20*x<o:p></o:p></span></p>
<p class=Normal align=center style='text-align:center;text-indent:26.25pt;
tab-stops:21.0pt;mso-layout-grid-align:auto;punctuation-wrap:hanging'><b><span
style='font-size:16.0pt;mso-bidi-font-size:12.0pt;font-family:宋体;mso-ascii-font-family:
"Times New Roman";mso-hansi-font-family:"Times New Roman";color:blue;
mso-font-kerning:1.0pt'>符号卷积与积分变换</span></b><b><span lang=EN-US
style='font-size:16.0pt;mso-bidi-font-size:12.0pt;color:blue;mso-font-kerning:
1.0pt'><o:p></o:p></span></b></p>
<p class=Normal style='margin-left:42.0pt;text-indent:-21.0pt;mso-list:l1 level1 lfo1;
tab-stops:list 42.0pt;mso-layout-grid-align:auto;punctuation-wrap:hanging'><span
lang=EN-US style='mso-bidi-font-size:12.0pt;font-family:Wingdings;mso-font-kerning:
1.0pt'>l<span style='font:7.0pt "Times New Roman"'>
</span></span> <span style='mso-bidi-font-size:12.0pt;font-family:
宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman";
mso-font-kerning:1.0pt'>符号卷积</span><span lang=EN-US style='mso-bidi-font-size:
12.0pt;mso-font-kerning:1.0pt'><o:p></o:p></span></p>
<p class=Normal style='margin-left:21.0pt'><span lang=EN-US style='mso-bidi-font-size:
12.0pt;color:blue;mso-font-kerning:1.0pt'>?syms tao;t=sym('t','positive');<span
style="mso-spacerun:
yes">
</span>%</span><span style='mso-bidi-font-size:12.0pt;font-family:宋体;
mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman";
color:blue;mso-font-kerning:1.0pt'>把</span><span lang=EN-US style='mso-bidi-font-size:
12.0pt;color:blue;mso-font-kerning:1.0pt'>t</span><span style='mso-bidi-font-size:
12.0pt;font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:
"Times New Roman";color:blue;mso-font-kerning:1.0pt'>定义为限定性符号变量</span><span
lang=EN-US style='mso-bidi-font-size:12.0pt;color:blue;mso-font-kerning:1.0pt'>
<4><o:p></o:p></span></p>
<p class=Normal style='margin-left:21.0pt'><span lang=EN-US style='mso-bidi-font-size:
12.0pt;color:blue;mso-font-kerning:1.0pt'>ut=sym('Heaviside(t)-Heaviside(t-1)');ht=t*exp(-t);<o:p></o:p></span></p>
<p class=Normal style='margin-left:21.0pt'><span lang=EN-US style='mso-bidi-font-size:
12.0pt;color:blue;mso-font-kerning:1.0pt'>yt53=int(subs(ut,t,tao)*subs(ht,t,t-tao),tao,0,t);<o:p></o:p></span></p>
<p class=Normal style='margin-left:21.0pt'><span lang=EN-US style='mso-bidi-font-size:
12.0pt;color:blue;mso-font-kerning:1.0pt'>yt53=collect(yt53,'Heaviside(t-1)')<span
style="mso-spacerun: yes"> </span><span style="mso-spacerun:
yes"> </span><o:p></o:p></span></p>
<p class=Normal style='margin-left:21.0pt'><span lang=EN-US style='mso-bidi-font-size:
12.0pt;color:blue;mso-font-kerning:1.0pt'>yt53 = <o:p></o:p></span></p>
<p class=Normal style='margin-left:21.0pt;tab-stops:21.0pt;mso-layout-grid-align:
auto;punctuation-wrap:hanging'><span lang=EN-US style='mso-bidi-font-size:12.0pt;
color:blue;mso-font-kerning:1.0pt'>(-1+exp(1-t)*t)*Heaviside(t-1)+1+(-t-1)*exp(-t)</span><span
lang=EN-US style='mso-bidi-font-size:12.0pt;mso-font-kerning:1.0pt'><o:p></o:p></span></p>
<p class=Normal style='margin-left:42.0pt;text-indent:-21.0pt;mso-list:l1 level1 lfo1;
tab-stops:list 42.0pt;mso-layout-grid-align:auto;punctuation-wrap:hanging'><span
lang=EN-US style='mso-bidi-font-size:12.0pt;font-family:Wingdings;mso-font-kerning:
1.0pt'>l<span style='font:7.0pt "Times New Roman"'>
</span></span> <span style='font-family:宋体;mso-ascii-font-family:"Times New Roman";
mso-hansi-font-family:"Times New Roman"'>符号积分变换</span><span lang=EN-US
style='mso-bidi-font-size:12.0pt;mso-font-kerning:1.0pt'><o:p></o:p></span></p>
<p class=Normal style='margin-left:99.0pt;text-indent:-36.0pt;mso-list:l1 level3 lfo1;
tab-stops:list 99.0pt;mso-layout-grid-align:auto;punctuation-wrap:hanging'><span
lang=EN-US>1．<span style='font:7.0pt "Times New Roman"'>
</span></span> <span lang=EN-US>Fourier</span><span style='font-family:
宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"'>变换及其反变换</span></p>
<p class=Normal style='margin-left:63.0pt'><span lang=EN-US style='color:blue'>?ft=fourier(s)
<o:p></o:p></span></p>
<p class=Normal style='margin-left:63.0pt'><span lang=EN-US style='color:blue'>ft
= <o:p></o:p></span></p>
<p class=Normal style='margin-left:63.0pt'><span lang=EN-US style='color:blue'>6*pi*Dirac(4,w)-8*i*pi*Dirac(3,w)+2*i*pi*Dirac(1,w)+40*pi*Dirac(w)
<o:p></o:p></span></p>
<p class=Normal style='margin-left:63.0pt'><span lang=EN-US style='color:blue'>?ifourier(ft)
<o:p></o:p></span></p>
<p class=Normal style='margin-left:63.0pt'><span lang=EN-US style='color:blue'>ans
= <o:p></o:p></span></p>
<p class=Normal style='margin-left:63.0pt;tab-stops:21.0pt;mso-layout-grid-align:
auto;punctuation-wrap:hanging'><span lang=EN-US style='color:blue'>3*x^4+4*x^3+x+20</span></p>
<p class=Normal style='margin-left:99.0pt;text-indent:-36.0pt;mso-list:l1 level3 lfo1;
tab-stops:list 99.0pt;mso-layout-grid-align:auto;punctuation-wrap:hanging'> <span
lang=EN-US>2．<span style='font:7.0pt "Times New Roman"'>
</span></span><span lang=EN-US>Laplace</span><span style='font-family:
宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"'>变换及其反变换</span></p>
<p class=Normal style='margin-left:63.0pt'><span lang=EN-US style='color:blue'>?fs=laplace(s)<o:p></o:p></span></p>
<p class=Normal style='margin-left:63.0pt'><span lang=EN-US style='color:blue'><span
style="mso-spacerun: yes"> </span><o:p></o:p></span></p>
<p class=Normal style='margin-left:63.0pt'><span lang=EN-US style='color:blue'>fs
=<o:p></o:p></span></p>
<p class=Normal style='margin-left:63.0pt'><span lang=EN-US style='color:blue'><span
style="mso-spacerun: yes"> </span><o:p></o:p></span></p>
<p class=Normal style='margin-left:63.0pt'><span lang=EN-US style='color:blue'>72/s^5+24/s^4+1/s^2+20/s<o:p></o:p></span></p>
<p class=Normal style='margin-left:63.0pt'><span lang=EN-US style='color:blue'><span
style="mso-spacerun: yes"> </span><o:p></o:p></span></p>
<p class=Normal style='margin-left:63.0pt'><span lang=EN-US style='color:blue'>?ilaplace(fs)<o:p></o:p></span></p>
<p class=Normal style='margin-left:63.0pt'><span lang=EN-US style='color:blue'><span
style="mso-spacerun: yes"> </span><o:p></o:p></span></p>
<p class=Normal style='margin-left:63.0pt'><span lang=EN-US style='color:blue'>ans
=<o:p></o:p></span></p>
<p class=Normal style='margin-left:63.0pt'><span lang=EN-US style='color:blue'><span
style="mso-spacerun: yes"> </span><o:p></o:p></span></p>
<p class=Normal style='margin-left:63.0pt;tab-stops:21.0pt;mso-layout-grid-align:
auto;punctuation-wrap:hanging'><span lang=EN-US style='color:blue'>3*t^4+4*t^3+t+20</span></p>
<p class=Normal style='margin-left:99.0pt;text-indent:-36.0pt;mso-list:l1 level3 lfo1;
tab-stops:list 99.0pt;mso-layout-grid-align:auto;punctuation-wrap:hanging'><span
lang=EN-US>3．<span style='font:7.0pt "Times New Roman"'>
</span></span> <span lang=EN-US>Z</span><span style='font-family:宋体;
mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"'>变换及其反变换</span></p>
<p class=Normal style='margin-left:63.0pt'><span lang=EN-US style='mso-bidi-font-size:
12.0pt;color:blue;mso-font-kerning:1.0pt'>syms z<o:p></o:p></span></p>
<p class=MsoNormal style='margin-left:6.0gd'><span lang=EN-US style='color:
blue'>?fz=ztrans(s,x,z) <o:p></o:p></span></p>
<p class=MsoNormal style='margin-left:6.0gd'><span lang=EN-US style='color:
blue'>fz = <o:p></o:p></span></p>
<p class=MsoNormal style='margin-left:6.0gd'><span lang=EN-US style='color:
blue'>3*z*(z^3+11*z^2+11*z+1)/(z-1)^5+4*z*(z^2+1+4*z)/(z-1)^4+z/(z-1)^2+20*z/(z-1)<o:p></o:p></span></p>
<p class=MsoNormal style='margin-left:6.0gd'><span lang=EN-US style='font-size:
12.0pt;font-family:宋体;color:blue;mso-font-kerning:0pt'>» simple(fz)<o:p></o:p></span></p>
<p class=MsoNormal style='margin-left:6.0gd'><span lang=EN-US style='font-size:
12.0pt;font-family:宋体;color:blue;mso-font-kerning:0pt'>ans = <o:p></o:p></span></p>
<p class=MsoNormal style='margin-left:6.0gd'><span lang=EN-US style='font-size:
12.0pt;font-family:宋体;color:blue;mso-font-kerning:0pt'>2*z*(-36*z^3+81*z^2-28*z+9+10*z^4)/(z-1)^5<o:p></o:p></span></p>
<p class=MsoNormal style='margin-left:6.0gd'><span lang=EN-US style='font-size:
12.0pt;font-family:宋体;color:blue;mso-font-kerning:0pt'>» syms n<o:p></o:p></span></p>
<p class=MsoNormal style='margin-left:6.0gd'><span lang=EN-US style='font-size:
12.0pt;font-family:宋体;color:blue;mso-font-kerning:0pt'>» iztrans(fz,z,n) <span
style="mso-spacerun: yes"> </span><o:p></o:p></span></p>
<p class=MsoNormal style='margin-left:6.0gd'><span lang=EN-US style='font-size:
12.0pt;font-family:宋体;color:blue;mso-font-kerning:0pt'>ans = <o:p></o:p></span></p>
<p class=MsoNormal style='margin-left:6.0gd'><span lang=EN-US style='font-size:
12.0pt;font-family:宋体;color:blue;mso-font-kerning:0pt'>3*n^4+4*n^3+n+20<o:p></o:p></span></p>
<div class=MsoNormal align=center style='text-align:center'><span lang=EN-US
style='font-size:12.0pt;font-family:宋体;mso-font-kerning:0pt'>
<hr size=2 width="100%" align=center>
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