HP 48gII Graphing Calculator Manual do Utilizador descarregar pdf (Página 507)

100

101

Page 16-29

∫

∞−−−∞=⋅⋅

⋅⋅⋅

−⋅=

ndtt

.,...2,1,0,1,2,...,,)

exp()(

Function FOURIER provides the coefficient c

of the complex-form of the

Fourier series given the function f(t) and the value of n. The function FOURIER

requires you to store the value of the period (T) of a T-periodic function into

the CAS variable PERIOD before calling the function. The function FOURIER is

available in the DERIV sub-menu within the CALC menu („Ö).

Fourier series for a quadratic function

Determine the coefficients c

, c

, and c

for the function f(t) = t

+t, with period

T = 2. (Note: Because the integral used by function FOURIER is calculated in

the interval [0,T], while the one defined earlier was calculated in the interval

[-T/2,T/2], we need to shift the function in the t-axis, by subtracting T/2 from t,

i.e., we will use g(t) = f(t-1) = (t-1)

+(t-1).)

Using the calculator in ALG mode, first we define functions f(t) and g(t):

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):

1 2 ... 502 503 504 505 506 507 508 509 510 511 512 ... 863 864

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HP 48gII Graphing Calculator Manual do Utilizador Página 507

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