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Return a periodic sawtooth or triangle waveform.
The sawtooth waveform has a period ``2*pi``, rises from -1 to 1 on the
interval 0 to ``width*2*pi``, then drops from 1 to -1 on the interval
``width*2*pi`` to ``2*pi``. `width` must be in the interval [0, 1].
Note that this is not band-limited. It produces an infinite number
of harmonics, which are aliased back and forth across the frequency
spectrum.
Parameters
----------
t : array_like
Time.
width : array_like, optional
Width of the rising ramp as a proportion of the total cycle.
Default is 1, producing a rising ramp, while 0 produces a falling
ramp. `width` = 0.5 produces a triangle wave.
If an array, causes wave shape to change over time, and must be the
same length as t.
Returns
-------
y : ndarray
Output array containing the sawtooth waveform.
Examples
--------
A 5 Hz waveform sampled at 500 Hz for 1 second:
>>> from scipy import signal
>>> import matplotlib.pyplot as plt
>>> t = np.linspace(0, 1, 500)
>>> plt.plot(t, signal.sawtooth(2 * np.pi * 5 * t))
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