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---
title: Gaussian (v0.31)
description: API reference for qiskit.pulse.library.Gaussian in qiskit v0.31
in_page_toc_min_heading_level: 1
python_api_type: class
python_api_name: qiskit.pulse.library.Gaussian
---
# Gaussian
<Class id="qiskit.pulse.library.Gaussian" isDedicatedPage={true} github="https://github.com/qiskit/qiskit/tree/stable/0.18/qiskit/pulse/library/parametric_pulses.py" signature="Gaussian(duration, amp, sigma, name=None)" modifiers="class">
Bases: `qiskit.pulse.library.parametric_pulses.ParametricPulse`
A truncated pulse envelope shaped according to the Gaussian function whose mean is centered at the center of the pulse (duration / 2):
$$
f(x) = amp * exp( -(1/2) * (x - duration/2)^2 / sigma^2) ) , 0 <= x < duration
$$
Initialize the gaussian pulse.
**Parameters**
* **duration** (`Union`\[`int`, `ParameterExpression`]) Pulse length in terms of the the sampling period dt.
* **amp** (`Union`\[`complex`, `ParameterExpression`]) The amplitude of the Gaussian envelope.
* **sigma** (`Union`\[`float`, `ParameterExpression`]) A measure of how wide or narrow the Gaussian peak is; described mathematically in the class docstring.
* **name** (`Optional`\[`str`]) Display name for this pulse envelope.
## Methods
<span id="qiskit-pulse-library-gaussian-assign" />
### assign
<Function id="qiskit.pulse.library.Gaussian.assign" signature="Gaussian.assign(parameter, value)">
Assign one parameter to a value, which can either be numeric or another parameter expression.
**Return type**
`ParametricPulse`
</Function>
<span id="qiskit-pulse-library-gaussian-assign-parameters" />
### assign\_parameters
<Function id="qiskit.pulse.library.Gaussian.assign_parameters" signature="Gaussian.assign_parameters(value_dict)">
Return a new ParametricPulse with parameters assigned.
**Parameters**
**value\_dict** (`Dict`\[`ParameterExpression`, `Union`\[`ParameterExpression`, `float`]]) A mapping from Parameters to either numeric values or another Parameter expression.
**Return type**
`ParametricPulse`
**Returns**
New pulse with updated parameters.
</Function>
<span id="qiskit-pulse-library-gaussian-draw" />
### draw
<Function id="qiskit.pulse.library.Gaussian.draw" signature="Gaussian.draw(dt=None, style=None, filename=None, interp_method=None, scale=None, interactive=None, draw_title=None, backend=None, time_range=None, time_unit='dt', show_waveform_info=True, plotter='mpl2d', axis=None)">
Plot the interpolated envelope of pulse.
**Parameters**
* **style** (`Optional`\[`Dict`\[`str`, `Any`]]) Stylesheet options. This can be dictionary or preset stylesheet classes. See :py:class:\~\`qiskit.visualization.pulse\_v2.stylesheets.IQXStandard\`, :py:class:\~\`qiskit.visualization.pulse\_v2.stylesheets.IQXSimple\`, and :py:class:\~\`qiskit.visualization.pulse\_v2.stylesheets.IQXDebugging\` for details of preset stylesheets.
* **backend** (*Optional\[*[*BaseBackend*](qiskit.providers.BaseBackend "qiskit.providers.BaseBackend")*]*) Backend object to play the input pulse program. If provided, the plotter may use to make the visualization hardware aware.
* **time\_range** (`Optional`\[`Tuple`\[`int`, `int`]]) Set horizontal axis limit. Tuple `(tmin, tmax)`.
* **time\_unit** (`str`) The unit of specified time range either `dt` or `ns`. The unit of `ns` is available only when `backend` object is provided.
* **show\_waveform\_info** (`bool`) Show waveform annotations, i.e. name, of waveforms. Set `True` to show additional information about waveforms.
* **plotter** (`str`)
Name of plotter API to generate an output image. One of following APIs should be specified:
```python
mpl2d: Matplotlib API for 2D image generation.
Matplotlib API to generate 2D image. Charts are placed along y axis with
vertical offset. This API takes matplotlib.axes.Axes as `axis` input.
```
axis and style kwargs may depend on the plotter.
* **axis** (`Optional`\[`Any`]) Arbitrary object passed to the plotter. If this object is provided, the plotters use a given `axis` instead of internally initializing a figure object. This object format depends on the plotter. See plotter argument for details.
* **dt** (`Optional`\[`Any`]) Deprecated. This argument is used by the legacy pulse drawer.
* **filename** (`Optional`\[`Any`]) Deprecated. This argument is used by the legacy pulse drawer. To save output image, you can call .savefig method with returned Matplotlib Figure object.
* **interp\_method** (`Optional`\[`Any`]) Deprecated. This argument is used by the legacy pulse drawer.
* **scale** (`Optional`\[`Any`]) Deprecated. This argument is used by the legacy pulse drawer.
* **interactive** (`Optional`\[`Any`]) Deprecated. This argument is used by the legacy pulse drawer.
* **draw\_title** (`Optional`\[`Any`]) Deprecated. This argument is used by the legacy pulse drawer.
**Returns**
Visualization output data. The returned data type depends on the `plotter`. If matplotlib family is specified, this will be a `matplotlib.pyplot.Figure` data.
</Function>
<span id="qiskit-pulse-library-gaussian-get-waveform" />
### get\_waveform
<Function id="qiskit.pulse.library.Gaussian.get_waveform" signature="Gaussian.get_waveform()">
Return a Waveform with samples filled according to the formula that the pulse represents and the parameter values it contains.
**Return type**
`Waveform`
</Function>
<span id="qiskit-pulse-library-gaussian-is-parameterized" />
### is\_parameterized
<Function id="qiskit.pulse.library.Gaussian.is_parameterized" signature="Gaussian.is_parameterized()">
Return True iff the instruction is parameterized.
**Return type**
`bool`
</Function>
<span id="qiskit-pulse-library-gaussian-validate-parameters" />
### validate\_parameters
<Function id="qiskit.pulse.library.Gaussian.validate_parameters" signature="Gaussian.validate_parameters()">
Validate parameters.
**Raises**
[**PulseError**](qiskit.pulse.PulseError "qiskit.pulse.PulseError") If the parameters passed are not valid.
**Return type**
`None`
</Function>
## Attributes
### amp
<Attribute id="qiskit.pulse.library.Gaussian.amp">
The Gaussian amplitude.
**Return type**
`Union`\[`complex`, `ParameterExpression`]
</Attribute>
### id
<Attribute id="qiskit.pulse.library.Gaussian.id">
Unique identifier for this pulse.
**Return type**
`int`
</Attribute>
### limit\_amplitude
<Attribute id="qiskit.pulse.library.Gaussian.limit_amplitude" attributeValue="True" />
### parameters
<Attribute id="qiskit.pulse.library.Gaussian.parameters">
**Return type**
`Dict`\[`str`, `Any`]
</Attribute>
### sigma
<Attribute id="qiskit.pulse.library.Gaussian.sigma">
The Gaussian standard deviation of the pulse width.
**Return type**
`Union`\[`float`, `ParameterExpression`]
</Attribute>
</Class>