生成一段分数阶傅里叶变换检测chirp信号的matlab代码
时间: 2023-08-24 19:08:12 浏览: 43
以下是生成一段分数阶傅里叶变换检测chirp信号的 MATLAB 代码:
```matlab
% 设置信号参数,包括采样频率,信号持续时间和调频率范围
fs = 1024;
T = 2;
f0 = 10;
f1 = 200;
% 设置分数阶傅里叶变换参数
alpha = 0.8;
M = 256;
% 生成调频信号
t = linspace(0,T,T*fs);
s = chirp(t,f0,T,f1,'linear');
% 计算分数阶傅里叶变换
[freq,spec] = FOF(s,alpha,M,fs);
% 显示信号图谱和分数阶傅里叶变换结果
subplot(2,1,1);
plot(t,s);
xlabel('Time (s)');
ylabel('Amplitude');
title('Chirp Signal');
subplot(2,1,2);
semilogx(freq,spec);
xlim([0 fs/2]);
xlabel('Frequency (Hz)');
ylabel('FOF');
title(['FOF Signal with \alpha = ',num2str(alpha),' and M = ',num2str(M)]);
% 分数阶傅里叶变换函数
function [freq,spec] = FOF(x,alpha,M,fs)
N = length(x);
k = 0:M-1;
w = 2*pi*k/M;
a = sin(pi*alpha/2)./((pi*k/M).^alpha);
b = exp(-1i*w*(N-1)/2);
c = exp(1i*w);
kernel = a.*b.*c;
spec = abs(fft(kernel.*x,M)).^2;
freq = (fs/M)*(0:M/2-1);
end
```
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