⭐ 欢迎来到虫虫下载站! | 📦 资源下载 📁 资源专辑 ℹ️ 关于我们
⭐ 虫虫下载站

📄 untitled5.m

📁 y3k=fft(u,(m+n-2)/4) i=1:(m+n-2)/4 subplot(5,2,9) stem(i,u) title( 滤波后上采样 ) k=1:(m+n-2
💻 M
📖 第 1 页 / 共 3 页
字号:
11
2
-18
10
-3
-2
0
7
21
-3
-10
14
-4
-2
-18
14
-3
-11
-10
7
12
4
-12
22
-11
3
-3
14
5
-12
-11
17
-7
0
15
-5
-26
-2
4
5
-7
14
-8
-5
-16
15
9
-30
19
7
13
-27
9
0
2
-7
-13
23
-16
-2
6
6
0
-5
-6
3
0
-12
-10
10
-7
-20
-5
6
3
-9
13
-5
-11
17
4
-14
3
-5
-12
-18
3
11
-14
9
2
-14
-1
0
-4
-3
12
-9
4
-10
22
-17
-12
12
3
-6
-1
-1
-5
-10
-4
16
7
-7
7
-8
2
3
1
3
4
-5
-8
-3
2
-6
2
-6
-10
5
7
-18
20
20
-27
18
-4
3
4
-15
6
-10
10
-14
-4
12
-10
12
0
11
-15
-15
-2
7
0
11
0
-6
6
0
-20
13
-8
-14
29
-2
0
0
-3
-5
7
-10
1
-9
11
3
-14
2
15
9
2
17
-4
-2
-13
-1
-1
-10
20
-8
4
-3
-12
1
10
-10
0
-2
19
4
-15
3
9
-20
-7
5
-4
4
-7
-10
7
-1
-13
2
0
-12
-1
15
-8
6
-11
-3
5
1
-8
-16
0
12
2
-4
12
-4
-12
-4
10
7
-11
0
2
-12
9
-7
-3
10
-13
4
12
-4
-15
10
0
12
-18
-1
3
-10
9
-3
0
-10
5
-1
5
-10
1
6
-4
-10
0
-9
5
9
-34
13
-1
3
14
-12
-6
-10
-10
5
7
-2
11
-6
4
-13
3
17
-17
17
11
-17
-2
-9
9
-6
-6
17
2
-9
2
11
-2
-13
3
18
-11
-8
4
-2
-3
5
6
-5
6
-10
9
20
-17
-12
4
14
-1
-11
11
-3
-5
-18
16
1
-2
-3
2
16
-20
10
4
-5
5
-7
21
-9
6
6
-24
-3
12
-25
3
11
-4
-17
11
0
-4
13
1
-5
0
17
-13
0
4
3
4
-6
5
-15
7
4
3
2
2
-18
5
13
-13
-10
12
-2
-2
9
-3
-3
7
-1
7
-13
3
-5
-4
0
13
-4
-1
-12
10
9
-2
2
5
1
-10
0
2
1
1
-6
-4
6
6
-20
1
9
-4
-3
6
7
-11
-10
6
-3
18
-4
-10
18
-7
-8
-5
9
-13
7
-7
21
-6
4
-5
-2
-6
11
1
-5
-6
2
5
-20
6
3
6
-25
11
12
-3
-16
11
0
2
0
12
9
2
-4
-11
2
9
-11
-4
3
2
6
-14
6
0
-13
-8
-1
20
-14
-14
8
0
-6
-2
-6
-3
7
-8
-9
0
15
-18
-12
2
3
-14
10
12
-18
6
2
4
1
2
6
-15
4
6
-20
11
10
-9
13
-17
3
12
2
-8
7
8
-12
5
1
10
-13
-2
13
-7
0
-8
5
17
-5
-19
12
0
13
-10
9
6
-6
-10
-5
-3
5
6
-6
-13
5
-4
-2
7
13
-9
-5
4
-12
18
12
-12
0
12
-20
3
2
20
-21
4
2
-2
-1
2
-8
8
13
-18
15
-5
16
-7
-11
22
-6
-2
-2
-9
12
-10
2
14
1
2
19
-34
2
14
-4
1
1
7
-4
-2
2
20
-12
-2
11
-9
9
-5
9
-18
17
-5
4
3
-5
0
12
-12
-7
3
5
-16
0
11
-5
-8
-7
15
-6
-1
-17
13
-22
5
-11
8
3
-8
17
4
-15
6
12
-3
3
0
7
-7
-3
8
-12
8
1
5
15
-5
1
-4
1
-8
8
2
-1
14
-14
1
-5
5
-15
32
-22
14
-3
-19
3
3
-5
-5
-4
21
-2
-11
5
16
4
1
-3
-14
-11
1
21
-14
-3
3
-1
-4
-7
13
-2
13
-8
7
-4
10
-20
5
3
4
1
-3
6
-18
7
19
-11
8
-12
-6
17
-8
1
-4
-6
1
-4
-3
25
-16
7
0
18
-11
4
-3
23
-33
31
-17
6
1
0
2
-5
20
-3
-26
6
0
-9
1
-18
31
-6
-13
19
4
4
-9
-12
13
-5
4
-12
3
-4
0
1
-3
11
-12
-3
-3
17
-17
9
4
-16
14
-24
-12
14
2
3
-11
-1
2
-18
12
4
-6
5
-2
-14
-3
5
-9
-11
1
6
6
11
-25
11
-1
-17
15
-17
-22
10
-21
13
-21
14
14
-15
4
15
-26
3
-1
11
-11
5
-11
2
0
-5
-12
19
-19
2
4
4
0
-12
3
-2
7
-9
7
11
-6
-13
7
6
-9
-12
7
2
-12
-16
13
3
17
10
-15
6
-14
-4
6
8
12
-9
-21
13
3
-6
11
9
3
-2
0
13
-7
-2
2
-16
-2
6
2
-2
6
16
-24
-13
24
-3
-8
-17
0
1
-7
3
8
-2
-10
7
-8
-5
0
1
2
-10
-9
30
-20
-15
22
-4
2
-4
5
-13
-19
12
9
0
2
-4
-13
5
-4
4
-11
-1
15
-13
-17
20
4
-18
-2
12
2
-5
14
0
-2
5
-6
0
15
-18
0
7
4
-1
-23
-18
-3
3
10
-5
-5
1
-4
15
-5
-7
8
-26
-1
4
0
3
-13
-15
23
6
-12
0
7
-5
4
-15
-11
-1
-8
-14
12
15
8
-11
4
18
-21
-15
7
-16
18
5
-18
9
4
-5
-8
-5
10
-2
1
-1
-4
-2
-4
-5
9
-5
-8
-6
-10
-4
0
10
8
0
5
5
22
-3
-3
-2
-9
-9
-10
0
1
1
-5
5
-4
-1
-2
1
0
-1
-4
-1
-19
2
-5
-16
5
6
-9
-6
8
3
1
-2
8
13
-8
-5
-1
3
1
-25
14
-8
-4
13
-8
4
-4
-13
8
-2
5
-1
-22
-4
6
-5
1
12
-1
16
-17
-2
7
-7
-3
-17
13
3
-27
2
-1
3
4
-12
8
1
-5
-1
-5
-8
14
-11
-7
12
0
1
10
-1
7
-16
-3
-3
0
4
-6
-16
20
2
-5
0
1
-7
-5
-13
16
6
5
-11
6
10
-18
-1
16
-18
2
2
-13
2
10
-4
3
-2
1
-3
-1
9
-11
21
3
-3
-8
16
-7
-6
-7
42
25
-20
-7
37
45
60
66
51
27
25
24
7
-26
-21
-33
-55
-50
-40
-58
-78
-19
-22
-51
-32
16
7
18
59
57
27
46
63
50
6
-9
2
-1
-19
-14
-43
-40
-34
-50
-43
-21
-27
-44
-40
-25
-11
-28
-5
5
2
14
28
8
27
19
27
18
13
29
13
2
11
-3
6
0
0
-16
-17
-16
-19
-20
-7
-6
-13
-5
-5
-8
-2
0
1
14
28
20
7
4
31
3
-7
-5
34
-9
-20
25
-2
-5
-15
-7
2
-12
-4
4
3
-1
-2
0
-5
-2
6
16
-7
2
16
11
-19
0
17
1
-7
-2
8
-7
-16
-3
-5
5
-12
-6
13
-5
7
2
-2
20
-5
-3
4
6
10
-6
7
17
2
-8
4
5
11
-5
-4
6
5
0
-7
-6
1
8
-11
-1
18
1
-6
1
8
-1
-18
-10
6
10
6
-4
4
-6
3
-17
6
9
3
-1
1
2
15
-1
9
-2
23
15
-4
14
13
19
-3
-20
15
8
-14
-9
-8
-12
-18
-5
3
-4
-7
-1
-14
0
-4
-9
-14
-6
-4
1
-3
15
14
-2
11
15
5
12
2
14
8
-7
-21
-9
7
-6
-32
-4
6
-13
-6
-3
15
5
-18
-3
4
1
-11
-15
4
1
-10
-10
-14
2
6
-15
-17
1
3
-12
1
2
6
0
-15
5
7
-17
-18
1
9
-1
4
10
5
0
3
2
11
20
5
-17
-9
-5
-14
-30
-7
3
-6
-4
-3
1
-21
-13
-1
-20
-2
-3
-2
-4
0
9
-3
0
2
8
12
5
0
6
3
-3
-3
2
-2
-7
-2
-7
-11
0
-13
-12
-8
-2
-1
-7
-8
-12
-10
3
1
-4
10
11
3
-3
-4
-3
1
-2
-5
-4
-2
0
-8
-16
-11
-17
-16
-10
-4
3
-5
-13
-10
-1
-12
-15
-8
-6
-4
-2
-7
0
5
-6
-11
-1
5
-3
-7
0
2
3
-7
0
13
0
-5
-8
-2
-3
-14
-14
-4
-5
1
-2
-7
0
-3
-8
-8
-3
11
9
4
14
8
1
6
9
12
14
6
2
-2
-1
-2
-4
0
-3
3
4
-7
-6
0
0
-5
-4
5
1
-6
-1
2
3
2
1
3
1
0
1
3
4
-4
-1
11
11
1
-2
8
11
4
3
9
8
1
0
9
13
11
7
5
9
1
-8
-7
-7
4
3
-2
-1
-7
-5
-5
-9
5
8
6
0
-3
6
4
-5
1
7
14
8
-3
3
3
-1
-2
-6
-5
-8
-9
-4
6
9
-2
-7
-5
-7
-10
-7
1
3
4
0
0
-1
-2
1
4
6
2
0
-4
-5
-6
0
2
-1
-1
-2
4
-1
-5
-2
4
7
3
0
-5
-3
-1
-6
-2
2
7
2
3
5
2
2
-3
1
7
-3
1
-3
-3
4
-2
0
-3
-8
-1
-5
-9
-6
-1
1
0
-2
-1
-5
-7
-4
-3
2
6
7
3
1
2
-2
-6
-4
3
4
3
1
3
3
-3
-5
-3
-1
2
-2
-5
-7
-9
-8
-6
2
6
8
7
3
3
-9
-13
-6
1
8
3
4
5
2
0
-7
-5
1
4
5
5
7
13
8
1
3
4
4
0
-1
2
3
-1
-6
-4
-3
0
-2
-1
-1
-1
-4
-10
-7
-6
-5
-2
-2
2
3
1
0
-4
-1
3
3
5
6
8
8
6
8
6
4
4
1
5
0
1
1
-4
0
-6
-3
-5
-5
1
0
-3
-7
-7
-1
-1
6
9
12
8
6
5
0
-5
-3
0
2
-3
-4
-1
0
0
-3
-4
-3
-4
-8
-9
-8
-2
-3
-3
3
8
4
-1
0
1
0
-4
-5
-2
0
2
2
2
2
0
-3
-5
-11
-10
-5
-4
3
6
5
3
-2
-6
-9
-11
2
4
4
8
7
7
1
-7
-4
-5
4
4
2
5
2
4
-3
-8
0
2
2
-2
-3
-1
-5
-5
-4
0
3
4
3
2
0
-2
-2
0
5
7
8
11
14
12
6
1
0
1
1
-3
-2
-5
-6
-11
-13
-11
-10
-10
-11
-4
0
1
0
3
3
5
7
8
14
11
13
15
13
12
9
12
11
13
10
7
6
6
1
-1
0
4
3
-2
-3
-3
-7
-8
-13
-9
-7
-8
-7
-9
-6
-9
-12
-10
-10
-5
-2
-1
-3
-7
-1
-4
-9
-5
-3
3
1
-5
-4
-5
-2
-2
-3
2
7
10
12
6
1
3
2
2
2
2
3
2
0
0
-2
-4
-6
-6
-7
-8
-10
-9
-7
-2
0
3
3
7
2
0
-1
2
6
6
9
13
12
14
9
6
6
5
8
9
10
11
5
5
4
3
1
0
0
1
1
-1
-3
-1
2
-2
-1
-2
2
5
5
4
5
6
7
4
3
1
3
0
-4
-9
-4
-4
-6
-10
-10
-8
-9
-12
-12
-10
-6
-8
-6
-4
-2
-1
-3
-4
-1
-1
-5
-6
-6
-2
-2
-3
-3
-2
-1
-6
-7
-4
-3
-3
-1
-1
2
2
2
0
-1
0
2
1
0
6
8
4
2
2
4
2
-3
-3
-4
-1
2
2
2
2
2
3
-2
-1
1
3
4
3
8
13
12
9
6
6
12
7
8
6
13
9
7
7
5
6
4
2
2
2
2
0
-2
2
3
5
1
2
2
1
-4
-5
-1
2
0
-1
-2
5
5
-1
-3
-2
1
-1
-5
-2
0
2
0
-3
-2
-3
-2
-4
-2
0
3
2
1
3
2
2
2
2
3
-1
-5
-5
-3
0
-4
-6
-4
-6
-6
-9
-10
-8
-8
-8
-7
-6
-4
-6
-7
-7
-3
-1
-2
1
1
3
3
2
2
0
-1
-2
-2
-2
-1
0
-1
-3
-6
-7
-8
-6
-7
-7
-4
-2
3
4
2
0
-2
0
0
2
1
2
6
6
5
3
2
3
1
-1
-4
-3
0
-2
-3
-3
-1
-1
-2
-3
-2
-1
0
0
1
1
3
3
3
4
4
6
3
3
1
1
0
-3
-3
-3
-1
-1
0
1
1
-1
-2
-3
0
0
-1
2
2
2
1
0
0
0
0
-1
-3
-5
-3
-3
-3
-7
-6
-1
-3
-5
-7
-6
-5
-6
-6
-7
-5
-2
-2
-4
-4
-2
-3
-2
-1
1
1
-1
1
-1
1
0
0
2
3
6
4
2
1
2
3
0
0
2
2
4
2
1
1
0
-1
-2
-1
0
1
-1
-2
-2
-2
-4
-6
-6
-2
-1
-2
-2
1
1
2
1
2
3
3
3
2
4
5
4
2
-1
2
0
-1
-2
-2
1
0
-2
-3
-2
-2
0
-1
-1
0
-1
-1
-1
-1
-1
-1
0
1
0
-1
-1
0
-1
-3
-2
-2
-1
-2
-2
0
-3
-3
-3
-3
-1
-2
-4
-4
-4
-4
-2
-2
-3
-3
-2
-3
-3
-3
-3
-3
-3
-3
-2
-2
0
0
-3
-5
-4
-3
-3
-3
-2
1
0
0
1
1
0
-1
-2
0
0
3
1
1
2
1
1
0
0
0
-3
-3
-3
-1
-2
-1
-1
1
1
2
1
-1
1
1
2
3
2
3
2
4
2
0
0
-2
-2
-2
-3
-3
-1
-2
-2
-3
-5
-6
-6
-5
-5
-4
-5
-5
-4
-5
-3
-3
-4
-4
-4
-5
-7
-5
-6
-3
-2
-3
-3
];

x=x';
w=0.04*fs,fc=fs/4,m=7801;
    y=zeros(1,4*m);
 for i=1:m,
     y(4*i)=x(i);
 end

  i=1:4*m;
subplot(5,2,1);stem(i,y);
title('下采样');
y1k=fft(y,4*m);
k=1:4*m;
subplot(5,2,2);stem(k,y1k);
title('下采样频谱');
xlabel('k');ylabel('y1k');

for i=1:(m-1)/4,
    h(i)=x(4*i);
end
y2k=fft(h,(m-1)/4);

  i=1:(m-1)/4;
subplot(5,2,3);stem(i,h);
title('上采样');

  k=1:(m-1)/4;
subplot(5,2,4);stem(k,y2k);
title('上采样频谱');
xlabel('k');ylabel('y2k');

n=138;wc=2*fc/fs;
j=fir1(n-1,wc,blackman(n));
hk=fft(j,n);
k=1:n;
subplot(5,2,5);stem(k,hk);
title('滤波器的频谱');
g=conv(j,x);
gk=fft(g,m+n-1);
 k=1:m+n-1;
subplot(5,2,6);stem(k,gk);

title('滤波后的频谱');
xlabel('k');ylabel('gk');
    f=zeros(1,4*(m+n-1));
 for i=1:m+n-1,
     f(4*i)=g(i);
 end

  i=1:4*(m+n-1);
subplot(5,2,7);stem(i,f);
title('滤波后下采样');

fk=fft(y,4*(m+n-1));
 k=1:4*(m+n-1);
subplot(5, 2,8);stem(i,fk);
title('滤波后下采样频谱');
xlabel('k');ylabel('fk');

for i=1:(m+n-2)/4,
    u(i)=g(4*i);
end
y3k=fft(u,(m+n-2)/4);

  i=1:(m+n-2)/4;
subplot(5,2,9);stem(i,u);
title('滤波后上采样');

  k=1:(m+n-2)/4;
subplot(5,2,10);stem(k,y3k);
title('上采样频谱');
xlabel('k');ylabel('y3k');






⌨️ 快捷键说明

复制代码 Ctrl + C
搜索代码 Ctrl + F
全屏模式 F11
切换主题 Ctrl + Shift + D
显示快捷键 ?
增大字号 Ctrl + =
减小字号 Ctrl + -