komm.SincPulse

Sinc pulse. It is a pulse with waveform given by $$ h(t) = \operatorname{sinc}(t) = \frac{\sin(\pi t)}{\pi t}, $$ and spectrum given by $$ \hat{h}(f) = \begin{cases} 1, & |f| < \frac{1}{2}, \\ 0, & \text{otherwise}. \end{cases} $$

The sinc pulse is depicted below.

For more details, see PS08, Sec. 9.2-1.

Attributes:

(No attributes)

Examples:

>>> pulse = komm.SincPulse()
>>> pulse.waveform([-0.75, -0.50, -0.25,  0.00,  0.25,  0.50,  0.75]).round(4)
array([0.3001, 0.6366, 0.9003, 1.    , 0.9003, 0.6366, 0.3001])
>>> pulse.spectrum([-0.75, -0.50, -0.25,  0.00,  0.25,  0.50,  0.75])
array([0., 0., 1., 1., 1., 0., 0.])