Function fourier – HP 48gII User Manual

Page 506

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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

t

in

c

t

f

),

2

exp(

)

(

π

where

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