HP 48gII Graphing Calculator Bedienungsanleitung PDF herunterladen (Seite 525)

)()}({ dtttfFtf ω

Inverse sine transform

)sin()()()}({ dttFtfF

Fourier cosine transform

)()}({ dtttfFtf ω

Inverse cosine transform

)cos()()()}({ dttFtfF

Fourier transform (proper)

⋅⋅⋅== dtetfFtf

Inverse Fourier transform (proper)

⋅⋅== dteFtfF

– Determine the Fourier transform of the function f(t) = exp(- t), for t

>0, and f(t) = 0, for t<0.

The continuous spectrum, F(ω), is calculated with the integral:

This result can be rationalized by multiplying numerator and denominator by

the conjugate of the denominator, namely, 1-iω. The result is now:

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HP 48gII Graphing Calculator Bedienungsanleitung Seite 525