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PSD (power spectral density) of an exponential

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sina Ebrahimi Farsangi
Hello. In my case, I have a function that has this shape :
x(t)=exp(a*t)
where a is a constant.
I know that for a<0 the Fourier transform exists but for a>0 does not but I am not sure about the PSD. I want to calculate the PSD of x(t) for a>0 using pwelch function but I am not sure if the result is valid.
Best,
SIna

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