Engineering Tables/Hilbert Transform Table

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Signal $s(t)\,$	Hilbert transform $\mathcal{H}\{s\}(t)$
$\sin(t)\,$	$-\cos(t)\,$
$\cos(t)\,$	$\sin(t)\,$
$1 \over t^2 + 1$	$t \over t^2 + 1$
$\sin(t) \over t$ Sinc function	$1 - \cos(t) \over t$
$\sqcap(t)$ Rectangular function	${1 \over \pi} \ln \left \| {t+{1 \over 2} \over t-{1 \over 2}} \right \|$
$δ(t)$ Dirac delta function	${1 \over \pi t}$