HP 50G, User Manual

Page: 506 / 887

Page 16-29
Next, we move to the CASDIR sub-directory under HOME to change the value
of variable PERIOD, e.g.,
„
(hold)
§`J @)CASDI `2 K @PERIOD
`
Return to the sub-directory where you defined functions f and g, and calculate
the coefficients (Accept change to Complex mode when requested):
Thus, c
0
= 1/3, c
1
= (
π⋅
i+2)/
π
2
, c
2
= (
π⋅
i+1)/(2
π
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)/(2
π
2
)
⋅
exp(2
⋅
i
⋅π⋅
t)].
A plot of the shifted function g(t) and the Fourier series fitting follows: