Matlab、FFT 和质心频率
我以这种给定的方式在 Matlab 中进行了 FFT。
X=fft(t); % Take Fourier Transform
T=abs(X); % Take real parts of transform
T=T(1:n/2);
我有兴趣找到该图的质心频率。据我所知，质心频率的给出如下：
其中 x(n) 表示加权频率值，或bin 号 n 的幅度，f(n) 表示该 bin 的中心频率。
现在我很想说 f(n) 是脚本中 T 的值，但这些是 FFT 的虚部和实部的绝对值，所以我不知道如何找到 x(n)这应该是一个加权频率。
I have taken the FFT in Matlab in this given way.
X=fft(t); % Take Fourier Transform
T=abs(X); % Take real parts of transform
T=T(1:n/2);
I'm interested in finding the centroid frequency of this plot. I understand that the centroid freuency is given as:
Where x(n) represents the weighted frequency value, or magnitude, of bin number n, and f(n) represents the center frequency of that bin.
Now I am tempted to say that f(n) are the values from T in my script, but those are the absolute values of the imaginary and real components of the FFT and so I don't know how to find the x(n) which is supposed to be a weighted frequency.
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你说
f(n)是第n个bin的中心频率；这与您的数据无关。它只是采样频率的函数：当然，您可以在上面的等式中将其分解：
听起来
x就是您在代码中所说的T。You say that
f(n)is the centre-frequency of the n-th bin; this is nothing to do with your data. It's simply a function of your sampling frequency:You can of course, factor this out in your above equation:
It sounds like
xis what you've calledTin your code.