matlab的一维信号小波分解、去噪以及重构代码
时间: 2023-11-15 16:05:47 浏览: 170
以下是一维信号小波分解、去噪以及重构的MATLAB代码示例:
```matlab
% 设置小波分解的参数
wname = 'db4'; % 选用db4小波
level = 5; % 分解的层数
% 生成信号
t = linspace(0,2*pi,2048);
x = sin(3*t) + sin(5*t);
% 小波分解
[c,l] = wavedec(x,level,wname);
% 生成高斯白噪声
noise = 0.1*randn(size(x));
% 加噪声
xn = x + noise;
% 小波分解去噪
xd = wden(xn,'modwtsqtwolog','s','sln',level,wname);
% 小波重构
xrec = waverec(c,l,wname);
% 绘制结果
subplot(2,2,1);
plot(t,x);
title('原始信号');
subplot(2,2,2);
plot(t,xn);
title('加噪声信号');
subplot(2,2,3);
plot(t,xd);
title('去噪信号');
subplot(2,2,4);
plot(t,xrec);
title('重构信号');
```
以上代码中,`wavedec`函数用于进行小波分解,返回小波系数和分解层数;`wden`函数用于进行小波去噪,其中第一个参数是加噪声后的信号,第二个参数是去噪方法,第三个参数是选择软阈值或硬阈值,第四个参数是选择阈值类型,第五个和第六个参数是分解层数和小波类型;`waverec`函数用于进行小波重构,返回重构后的信号。
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