cc_diff — SciPy v1.15.3 Manual (original) (raw)

scipy.fftpack.

scipy.fftpack.cc_diff(x, a, b, period=None, _cache=<_thread._local object>)[source]#

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

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

y_j = cosh(ja2pi/period)/cosh(jb2pi/period) * x_j

Parameters:

xarray_like

The array to take the pseudo-derivative from.

a,bfloat

Defines the parameters of the sinh/sinh pseudo-differential operator.

periodfloat, optional

The period of the sequence x. Default is 2*pi.

Returns:

cc_diffndarray

Pseudo-derivative of periodic sequence x.

Notes

cc_diff(cc_diff(x,a,b),b,a) == x