Hp 49g+ User Manual download pdf (Page 504)

Page 16-30

Thus, c

0

= 1/3, c

1

= (π⋅i+2)/π

2

, c

2

= (π⋅i+1)/(2π

2

).

The Fourier series with three elements will be written as

g(t) ≈ Re[(1/3) + (π⋅i+2)/π

2

⋅exp(i⋅π⋅t)+ (π⋅i+1)/(2π

2

)⋅exp(2⋅i⋅π⋅t)].

A plot of the shifted function g(t) and the Fourier series fitting follows:

The fitting is somewhat acceptable for 0<t<2, although not as good as in the

previous example.

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