54 lines
1.8 KiB
Plaintext
54 lines
1.8 KiB
Plaintext
---
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title: sawtooth
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description: API reference for qiskit.pulse.library.sawtooth
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in_page_toc_min_heading_level: 1
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python_api_type: function
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python_api_name: qiskit.pulse.library.sawtooth
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---
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<span id="qiskit-pulse-library-sawtooth" />
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# qiskit.pulse.library.sawtooth
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<Function id="qiskit.pulse.library.sawtooth" isDedicatedPage={true} github="https://github.com/qiskit/qiskit/tree/stable/0.24/qiskit/pulse/library/discrete.py" signature="sawtooth(duration, amp, freq=None, phase=0, name=None)">
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Generates sawtooth wave [`Waveform`](qiskit.pulse.library.Waveform "qiskit.pulse.library.Waveform").
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For $A=$ `amp`, $T=$ `period`, and $\phi=$ `phase`, applies the midpoint sampling strategy to generate a discrete pulse sampled from the continuous function:
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$$
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f(x) = 2 A \left( g(x) - \left\lfloor \frac{1}{2} + g(x) \right\rfloor\right)
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$$
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where $g(x) = x/T + \phi/\pi$.
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**Parameters**
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* **duration** (*int*) – Duration of pulse. Must be greater than zero.
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* **amp** (*complex*) – Pulse amplitude. Wave range is $[-$ `amp` $,$ `amp` $]$.
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* **freq** (*float | None*) – Pulse frequency, units of 1./dt. If `None` defaults to 1./duration.
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* **phase** (*float*) – Pulse phase.
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* **name** (*str | None*) – Name of pulse.
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**Return type**
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[*Waveform*](qiskit.pulse.library.Waveform "qiskit.pulse.library.waveform.Waveform")
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**Example**
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```python
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import matplotlib.pyplot as plt
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from qiskit.pulse.library import sawtooth
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import numpy as np
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duration = 100
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amp = 1
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freq = 1 / duration
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sawtooth_wave = np.real(sawtooth(duration, amp, freq).samples)
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plt.plot(range(duration), sawtooth_wave)
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plt.show()
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```
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</Function>
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