jax.numpy.sinc#
- jax.numpy.sinc(x, /)[source]#
Return the normalized sinc function.
LAX-backend implementation of
numpy.sinc()
.Original docstring below.
The sinc function is equal to \(\sin(\pi x)/(\pi x)\) for any argument \(x\ne 0\).
sinc(0)
takes the limit value 1, makingsinc
not only everywhere continuous but also infinitely differentiable.Note
Note the normalization factor of
pi
used in the definition. This is the most commonly used definition in signal processing. Usesinc(x / np.pi)
to obtain the unnormalized sinc function \(\sin(x)/x\) that is more common in mathematics.- Parameters:
x (ndarray) – Array (possibly multi-dimensional) of values for which to calculate
sinc(x)
.- Returns:
out –
sinc(x)
, which has the same shape as the input.- Return type:
ndarray
References