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内容简介作者简介 - 科学与工程计算系

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In D:\MATLAB6p5\work\double_int.m at line 8<br />

SS =<br />

9.5810<br />

(4)<br />

Ssym=vpa(int(int('x^2+y^2','x','sqrt(y)',2),'y',1,4))<br />

Ssym =<br />

9.5809523809523809523809523809524<br />

4.8.3 卷积<br />

4.8.3.1 “完整”离散序列的数值卷积<br />

4.8.3.2 “截尾”离散序列的数值卷积<br />

4.8.3.3 多项式乘法与离散卷积的算法同构<br />

4.8.3.4 连续时间函数的数值卷积<br />

4.8.3.5 卷积的 MATLAB 实现<br />

⎧ 1 n = 3,<br />

4,<br />

, 12 ⎧ 1 n = 2,<br />

3,<br />

, 9<br />

【例 4.8.3.5-1】有序列 A(<br />

n)<br />

= ⎨<br />

和 B(<br />

n)<br />

= ⎨<br />

。<br />

⎩0<br />

else<br />

⎩0<br />

else<br />

(A)<br />

%<br />

a=ones(1,10);n1=3;n2=12;<br />

b=ones(1,8);n3=2;n4=9;<br />

c=conv(a,b);nc1=n1+n3;nc2=n2+n4;<br />

kc=nc1:nc2;<br />

%<br />

aa=a(1:6);nn1=3;nn2=8;<br />

cc=conv(aa,b);ncc1=nn1+n3;<br />

nx=nn2+n4;<br />

ncc2=min(nn1+n4,nn2+n3);<br />

kx=(ncc2+1):nx;kcc=ncc1:ncc2;N=length(kcc);<br />

stem(kcc,cc(1:N),'r','filled')<br />

axis([nc1-2,nc2+2,0,10]),grid,hold on<br />

stem(kc,c,'b'),stem(kx,cc(N+1:end),'g'),hold off<br />

10<br />

9<br />

8<br />

7<br />

6<br />

5<br />

4<br />

3<br />

2<br />

1<br />

0<br />

4 6 8 10 12 14 16 18 20 22<br />

图 4.8-2<br />

16

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