Fourier Series Coefficients

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

Answer 1

[Chaowei Chen]

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.

[Melissa]

thank you for responding. will this improve the accuracy of my results?

[Walter Roberson]

Improve the accuracy of your results? No, probably not, but it does answer your question about how to do it without using fft().

Answer 2

[Vivek Bhadouria]

Nice Approach