qiskit.pulse.library.triangle

triangle(duration, amp, freq=None, phase=0, name=None)

Generates triangle wave Waveform.

For \(A=\) amp, \(T=\) period, and \(\phi=\) phase, applies the midpoint sampling strategy to generate a discrete pulse sampled from the continuous function:

\[f(x) = A \left(-2\left|\text{sawtooth}(x, A, T, \phi)\right| + 1\right)\]

This a non-sinusoidal wave with linear ramping.

Parameter

• duration (int) – Duration of pulse. Must be greater than zero.

• amp (complex) – Pulse amplitude. Wave range is \([-\) amp \(,\) amp \(]\).

• freq (Optional[float]) – Pulse frequency, units of 1./dt. If None defaults to 1./duration.

• phase (float) – Pulse phase.

• name (Optional[str]) – Name of pulse.

Example

import matplotlib.pyplot as plt
from qiskit.pulse.library import triangle
import numpy as np

duration = 100
amp = 1
freq = 1 / duration
triangle_wave = np.real(triangle(duration, amp, freq).samples)
plt.plot(range(duration), triangle_wave)
plt.show()

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Waveform