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In the calculator, set up and evaluate the following integrals to calculate C(
ω
)
and S(
ω
), respectively. CAS modes are set to Exact and Real.
Their results are, respectively:
The continuous spectrum, A(
ω
) is calculated as:
Define this expression as a function by using function DEFINE (
„à
).
Then, plot the continuous spectrum, in the range 0 <
ω
< 10, as:
Definition of Fourier transforms
Different types of Fourier transforms can be defined. The following are the definitions
of the sine, cosine, and full Fourier transforms and their inverses used in this Chapter:
Fourier sine transform