Engineering Tables/Hilbert Transform Table

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