odd_ext(x, n, axis=-1)
Generate a new ndarray by making an odd extension of
x along an axis.
The array to be extended.
The number of elements by which to extend
x at each end of the axis.
The axis along which to extend
x. Default is -1.
Odd extension at the boundaries of an array
>>> from scipy.signal._arraytools import odd_ext
... a = np.array([[1, 2, 3, 4, 5], [0, 1, 4, 9, 16]])
... odd_ext(a, 2) array([[-1, 0, 1, 2, 3, 4, 5, 6, 7], [-4, -1, 0, 1, 4, 9, 16, 23, 28]])
Odd extension is a "180 degree rotation" at the endpoints of the original array:
>>> t = np.linspace(0, 1.5, 100)
... a = 0.9 * np.sin(2 * np.pi * t**2)
... b = odd_ext(a, 40)
... import matplotlib.pyplot as plt
... plt.plot(arange(-40, 140), b, 'b', lw=1, label='odd extension')
... plt.plot(arange(100), a, 'r', lw=2, label='original')
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