Engineering Tables/Hilbert Transform Table

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Signal
s(t)
Hilbert transform
{s}(t)
sin(t) cos(t)
cos(t) sin(t)
1t2+1 tt2+1
sin(t)t
Sinc function
1cos(t)t
(t)
Rectangular function
1πln|t+12t12|
δ(t)
Dirac delta function
1πt