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qspline1d(signal, lamb=0.0)

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 .

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.

Compute quadratic spline coefficients for rank-1 array.

See Also

qspline1d_eval

Evaluate a quadratic spline at the new set of points.

Examples

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

>>> 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()
See :

Back References

The following pages refer to to this document either explicitly or contain code examples using this.

scipy.signal._bsplines.qspline1d scipy.signal._bsplines.qspline1d_eval

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GitHub : /scipy/signal/_bsplines.py#479
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