Could anyone tell me if this is the correct formula to compute the complex analytic signal (X) for a real-valued signal (s) using the Hilbert transform?
P.V. indicates that the integral is taken in the sense of the Cauchy principal value.
Here are some SFW tits in anticipation of a response.
please respond
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>>8201399
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Please respond
>>8201463
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>>8201478
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>>8201777
Checked
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>>8201944
Looks right
https://en.wikipedia.org/wiki/Hilbert_transform#Analytic_representation
H(u)(t) is defined at the top of the page, looks like yours.
Like >>8202817 said, looks right. I typically see it described as the Kramers-Kronig relation, which might be worth looking up to you.