cupyx.scipy.signal.hilbert#
- cupyx.scipy.signal.hilbert(x, N=None, axis=-1)[source]#
Compute the analytic signal, using the Hilbert transform.
The transformation is done along the last axis by default.
- Parameters:
- Returns:
xa – Analytic signal of x, of each 1-D array along axis
- Return type:
Notes
The analytic signal
x_a(t)
of signalx(t)
is:\[x_a = F^{-1}(F(x) 2U) = x + i y\]where F is the Fourier transform, U the unit step function, and y the Hilbert transform of x. [1]
In other words, the negative half of the frequency spectrum is zeroed out, turning the real-valued signal into a complex signal. The Hilbert transformed signal can be obtained from
np.imag(hilbert(x))
, and the original signal fromnp.real(hilbert(x))
.References
See also