cupyx.scipy.signal.symiirorder2#

cupyx.scipy.signal.symiirorder2(input, r, omega, precision=-1.0)[source]#

Implement a smoothing IIR filter with mirror-symmetric boundary conditions using a cascade of second-order sections. The second section uses a reversed sequence. This implements the following transfer function:

                         cs^2
H(z) = ---------------------------------------
       (1 - a2/z - a3/z^2) (1 - a2 z - a3 z^2 )

where:

a2 = 2 * r * cos(omega)
a3 = - r ** 2
cs = 1 - 2 * r * cos(omega) + r ** 2
Parameters:

  • input (ndarray) – The input signal.

  • r (float) – Parameters in the transfer function.

  • omega (float) – Parameters in the transfer function.

  • precision (float) – Specifies the precision for calculating initial conditions of the recursive filter based on mirror-symmetric input.

Returns:

output – The filtered signal.

Return type:

ndarray