bundles / scipy 1.18.0 / scipy / fftpack / _pseudo_diffs / sc_diff

function

`scipy.fftpack._pseudo_diffs:sc_diff`

source: /scipy/fftpack/_pseudo_diffs.py:338

Signature

def sc_diff(x, a, b, period = None, _cache = <_thread._local object at 0x0000>)

Summary

Return (a,b)-sinh/cosh pseudo-derivative of a periodic sequence x.

Extended Summary

If x_j and y_j are Fourier coefficients of periodic functions x and y, respectively, then

y_j = sqrt(-1)*sinh(j*a*2*pi/period)/cosh(j*b*2*pi/period) * x_j
y_0 = 0

Parameters

x : array_like: Input array.
a, b : float: Defines the parameters of the sinh/cosh pseudo-differential operator.
period : float, optional: The period of the sequence x. Default is 2*pi.

Notes

sc_diff(cs_diff(x,a,b),b,a) == x For even len(x), the Nyquist mode of x is taken as zero.

Aliases

scipy.fftpack.sc_diff