📄 fseries.m
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format long;
sigma_f=20;%功率谱3dB带宽
Fs=512;%采样频率
T0=1/Fs;%采样间隔
f=0:T0:Fs/2;
abs_H_f=0;
for n=0:13;
A(n+1)=2*sigma_f*T0*sqrt(pi)*exp(-4*sigma_f^2*pi^2*n^2*T0^2);
if n==0;
abs_H_f=abs_H_f+A(n+1);
else
abs_H_f=abs_H_f+2*A(n+1)*cos(2*pi*n*f*T0);
if n==3;
temp=abs_H_f;
end
end
end
powerf_theory=exp(-f.^2/(2*sigma_f^2));
powerf_theory=powerf_theory/max(powerf_theory);%归一化
powerf_fseries=abs_H_f.^2;
powerf_fseries=powerf_fseries/max(powerf_fseries);%归一化
temp=temp/max(temp);%归一化
plot(f,powerf_theory,f,powerf_fseries,'r',f,temp.^2,'g');
xlabel('f');
ylabel('S(f)')
legend('理论值','N=9时的拟合值','N=3时的拟合值');
% grid on;
text(12,0.6,'1');
text(20,0.3,'2');
text(50,0.4,'3');
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