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Fourier Series Coefficients

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Melissa
Melissa on 19 Aug 2011
Good Afternoon All,
I want to calculate the fourier series coefficients of a discrete set of data (ao ak and bk). The problem is that I do not have enough data points to use the fft as I originally planned. Does anyone have any idea on how to calculate the coefficients without using the fft?
Thanks
Mel

Accepted Answer

Chaowei Chen
Chaowei Chen on 21 Aug 2011
fft does not require a specific number of samples to work. Equivalently, it works because fft pads zeros to your sample.
If you don't want to use fft, use the definition of Fourier transform to get the coefficients. For example, a0 = mean(data), ak=mean(data*sin(2*pi/n*k)), etc.
  2 Comments
Melissa
Melissa on 22 Aug 2011
thank you for responding. will this improve the accuracy of my results?
Walter Roberson
Walter Roberson on 22 Aug 2011
Improve the accuracy of your results? No, probably not, but it does answer your question about how to do it without using fft().

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More Answers (1)

Vivek Bhadouria
Vivek Bhadouria on 22 Aug 2011
Nice Approach

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