scipy.fftpack.

itilbert

scipy.fftpack.itilbert(x, h, period=None, _cache={})

Return inverse h-Tilbert transform of a periodic sequence x.

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

y_j = -sqrt(-1)*tanh(j*h*2*pi/period) * x_j
y_0 = 0

For more details, see tilbert.