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# scipy.signal.lfiltic

`scipy.signal.``lfiltic`(b, a, y, x=None)

  Construct initial conditions for lfilter

  Given a linear filter (b,a) and initial conditions on the output y and the input x, return the inital conditions on the state vector zi which is used by lfilter to generate the output given the input.

  If M=len(b)-1 and N=len(a)-1. Then, the initial conditions are given in the vectors x and y as:

      x = {x[-1],x[-2],...,x[-M]}
      y = {y[-1],y[-2],...,y[-N]}

  If x is not given, its inital conditions are assumed zero. If either vector is too short, then zeros are added to achieve the proper length.

  The output vector zi contains:

      zi = {z_0[-1], z_1[-1], ..., z_K-1[-1]}  where K=max(M,N).

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