clc;
clear;
%生成分段正弦信號
N=1000;
t=1:N;
sig(1:500)=sin(0.03*(1:500));
sig(501:1000)=sin(0.3*(501:1000));
x=sig;
figure(1);
plot(t,x,'LineWidth',2);xlabel('時間 t/s');ylabel('幅值 A');
%一維小波分解
[c,l] = wavedec(x,5,'db5');
%重構第1～5層逼近信號
a5 = wrcoef('a',c,l,'db5',5);
a4 = wrcoef('a',c,l,'db5',4);
a3 = wrcoef('a',c,l,'db5',3);
a2 = wrcoef('a',c,l,'db5',2);
a1 = wrcoef('a',c,l,'db5',1);
%顯示各層逼近信號
figure(2)
subplot(5,1,1);plot(a5,'LineWidth',2);ylabel('a5');
subplot(5,1,2);plot(a4,'LineWidth',2);ylabel('a4');
subplot(5,1,3);plot(a3,'LineWidth',2);ylabel('a3');
subplot(5,1,4);plot(a2,'LineWidth',2);ylabel('a2');
subplot(5,1,5);plot(a1,'LineWidth',2);ylabel('a1');
xlabel('時間 t/s');
%重構第1～5層細節信號
d5 = wrcoef('d',c,l,'db5',5);
d4 = wrcoef('d',c,l,'db5',4);
d3 = wrcoef('d',c,l,'db5',3);
d2 = wrcoef('d',c,l,'db5',2);
d1 = wrcoef('d',c,l,'db5',1);
%顯示各層細節信號
figure(3)
subplot(5,1,1);plot(d5,'LineWidth',2);ylabel('d5');
subplot(5,1,2);plot(d4,'LineWidth',2);ylabel('d4');
subplot(5,1,3);plot(d3,'LineWidth',2);ylabel('d3');
subplot(5,1,4);plot(d2,'LineWidth',2);ylabel('d2');
subplot(5,1,5);plot(d1,'LineWidth',2);ylabel('d1');
xlabel('時間 t/s');