The Fourier integrals and series can be written of 3 forms (possibly of 4):(adsbygoogle = window.adsbygoogle || []).push({});

the "real cartesian":

a(ω)cos(ωt) + b(ω)sin(ωt)

the "real polar":

A(ω)cos(ωt - φ(ω))

where:

A² = a² + b²

sin(φ) = b/A

cos(φ) = a/A

tan(φ) = b/a

the "complex polar"

A(ω)exp(iφ(ω))exp(iωt)

And my doubts are: 1) exist a "complex cartesian" correspondent? 2) is possible to connect the real forms with the complex forms?

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# Fourier notation

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