Casio CLASSPAD330PLUS f(x)dx, f(x)dx, • f(x)dx, eω•x•i • f(x)dx, ∫– ∞ f(t)eibωt dt, ∞ eω•x•i • f(x)dx, ⏐b⏐, ⏐b⏐, –2*π, Integral, Pure Math, Probability, n (optional)

2-8-10

Using the Action Menu

The Fourier Transform pairs are defined using two arbitrary constants a, b.

		⏐b⏐		∞
F(ω) =				∫– ∞ f(t)eibωt dt
		(2π)1–a
		⏐b⏐		∞
f(t) =			∫– ∞ F(ω)e–ibωt dω
	(2π)1+a

The values of a and b depend on the scientific discipline, which can be specified by the value of n (optional fourth parameter of Fourier and invFourier) as shown below.

n (optional)

a

b

Definition of the Fourier

Integral

Modern Physics

2

• ∫

∞ eω•x•i

• f(x)dx

0

0

1

–∞

2 • π

Pure Math

∞

f(x)dx

1

1

–1

∫–∞ e

–ω•x•i

•

Probability

∞ eω•x•i • f(x)dx

2

1

1

∫

–∞

Classical Physics

∫

∞

eω•x•i • f(x)dx

3

–1

1

–∞

2 • π

Signal Processing

∞

4

0

–2*π

∫–∞ e

–2•π•ω•x•i•

f(x)dx

Tip

•The Advanced Format dialog box can be used to configure settings related to the Fourier Transform, such a Fourier Transform definition, etc. For details, see “Advanced Format Dialog Box” on page 1-9-11.

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