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scipy.fftpack.

# cc_diff

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

  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(j*a*2*pi/period)/cosh(j*b*2*pi/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`