Can anyone help me with fourier series of a signal?

My doubt is can I break the signal in a triangle and a straight line, then calculating fourier series for each. Will this break may affect my answer (magnitude * frequency)

ANSWER

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If you’re doing a numeric fft, do the Fourier Transform of the entire signal.

To do it symbolically, separate it into two segments for each part of the triangle, and add:

syms w t f1(t) f2(t)
f1(t) = 40*t;
f2(t) = 40-40*t;
F(w) = int(f1(t)*exp(1i*w*t), t, 0, 0.5) + int(f2(t)*exp(1i*w*t), t, 0.5, 1);
F(w) = simplify(F(w), 'steps',20)
F(w) =

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Can anyone help me with fourier series of a signal?

Can anyone help me with fourier series of a signal?