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# scipy.signal.qspline1d

scipy.signal.qspline1d(signal, lamb=0.0)

  Compute quadratic spline coefficients for rank-1 array.

  Parameters:
    signal ndarray

      A rank-1 array representing samples of a signal.

    lamb float, optional

      Smoothing coefficient (must be zero for now).

  Returns:
    c ndarray

      Quadratic spline coefficients.

  See also

  `qspline1d_eval`

    Evaluate a quadratic spline at the new set of points.

  Notes

  Find the quadratic spline coefficients for a 1-D signal assuming mirror-symmetric boundary conditions. To obtain the signal back from the spline representation mirror-symmetric-convolve these coefficients with a length 3 FIR window [1.0, 6.0, 1.0]/ 8.0 .

  Examples

  We can filter a signal to reduce and smooth out high-frequency noise with a quadratic spline:

      >>> import numpy as np
      >>> import matplotlib.pyplot as plt
      >>> from scipy.signal import qspline1d, qspline1d_eval
      >>> rng = np.random.default_rng()
      >>> sig = np.repeat([0., 1., 0.], 100)
      >>> sig += rng.standard_normal(len(sig))*0.05  # add noise
      >>> time = np.linspace(0, len(sig))
      >>> filtered = qspline1d_eval(qspline1d(sig), time)
      >>> plt.plot(sig, label="signal")
      >>> plt.plot(time, filtered, label="filtered")
      >>> plt.legend()
      >>> plt.show()