![]() ![]() ![]() The argument n is optional and is used to modify the length of data analyzed: if n is less than the length of x, then the analysis is performed over the first n points. ![]() The second term in Xf is the complex representation of the fundamental sinusoidal component the third term represents the second harmonic and so on. (Recall, it is common to use capital letters for the Fourier transform variable.) The first term of Xf is real and is the un-normalized DC component you need to divide by the signal length, N, to get the actual DC component. Where x is the input waveform and Xf is a complex vector providing the sinusoidal coefficients. Xf = fft(x,n) % Calculate the Fourier Transform MATLAB has a routine that uses the FFT algorithm to implement Equation 3.30 very quickly: John Semmlow, in Circuits, Signals and Systems for Bioengineers (Third Edition), 2018 3.4.2 MATLAB Implementation of the Discrete Fourier Transform ![]()
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