hilbert2

class diffsptk.TwoDimensionalHilbertTransform(fft_length: list[int] | tuple[int, ...] | ndarray | int, dim: list[int] | tuple[int, ...] | ndarray = (-2, -1))

2-D Hilbert transform module.

Parameters:

fft_lengthint >= 1 or tuple[int, int]

The number of FFT bins.

dimtuple[int, int]

The dimension along which to take the Hilbert transform.

forward(x: Tensor) → Tensor

Compute the analytic signal using the Hilbert transform.

Parameters:

xTensor [shape=(…, T1, T2, …)]

The input signal.

Returns:

outTensor [shape=(…, T1, T2, …)]

The analytic signal, where the real part is the input signal and the imaginary part is the Hilbert transform of the input signal.

Examples

>>> x = diffsptk.nrand(3)
>>> x
tensor([[ 1.1809, -0.2834, -0.4169,  0.3883]])
>>> hilbert2 = diffsptk.TwoDimensionalHilbertTransform((1, 4))
>>> z = hilbert2(x)
>>> z.real
tensor([[ 1.1809, -0.2834, -0.4169,  0.3883]])
>>> z.imag
tensor([[ 0.3358,  0.7989, -0.3358, -0.7989]])

diffsptk.functional.hilbert2(x: Tensor, fft_length: list[int] | tuple[int, ...] | ndarray | int | None = None, dim: list[int] | tuple[int, ...] | ndarray = (-2, -1)) → Tensor

Compute the analytic signal using the Hilbert transform.

Parameters:

xTensor [shape=(…, T1, T2, …)]

The input signal.

fft_lengthint, list[int], or None

The number of FFT bins. If None, set to (\(T1\), \(T2\)).

dimlist[int]

The dimensions along which to take the Hilbert transform.

Returns:

outTensor [shape=(…, T1, T2, …)]

The analytic signal.

See also

hilbert