qiskit.pulse.library.sawtooth

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

Generates sawtooth 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:

where $g(x) = x/T + \phi/\pi$.

Parameters

• 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 sawtooth
import numpy as np
 
duration = 100
amp = 1
freq = 1 / duration
sawtooth_wave = np.real(sawtooth(duration, amp, freq).samples)
plt.plot(range(duration), sawtooth_wave)

[<matplotlib.lines.Line2D at 0x7f7925c00850>]

Return type

Waveform