Casio ClassPad OS Version 3.03 b, f(x)dx, eω•x•i • f(x)dx, ∞ eω•x•i • f(x)dx, ∞ eω•x•i • f(x)dx, ∞ e–ω•x•i • f(x)dx

2-8-10

Using the Action Menu

The Fourier Transform pairs are defined using two arbitrary constants a, 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								∞ e–ω•x•i• f(x)dx
	1	1	–1			∫
								–∞
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						∞
											f(x)dx
	4	0	–2*π		∫–∞ e					–2•π•ω•x•i•

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.

20060301