Page 16-28
Thus, the first three terms of the function are:
f(t) ≈ 1/3 – (4/π
2
)⋅cos (π⋅t)+(2/π)⋅sin (π⋅t).
A graphical comparison of the original function with the Fourier expansion
using these three terms shows that the fitting is acceptable for t < 1, or
thereabouts. But, then, again, we stipulated that T/2 = 1. Therefore, the
fitting is valid only between –1 < t < 1.
Function FOURIER
An alternative way to define a Fourier series is by using complex numbers as
follows:
∑
+∞
−∞=
⋅=
n
n
T
tin
ctf ),
2
exp()(
π
where
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