---
title: Gaussian (v1.3)
description: API reference for qiskit.pulse.library.Gaussian in qiskit v1.3
source: https://eu-de.quantum.cloud.ibm.com/docs/en/api/qiskit/1.3/qiskit.pulse.library.Gaussian
---

# Gaussian

*class* `qiskit.pulse.library.Gaussian(duration, amp, sigma, angle=0.0, name=None, limit_amplitude=None)`

Bases: [`object`](https://docs.python.org/3/library/functions.html#object)

A lifted and truncated pulse envelope shaped according to the Gaussian function whose mean is centered at the center of the pulse (duration / 2):

$$
\begin{aligned}
f'(x) &= \exp\Bigl( -\frac12 \frac{{(x - \text{duration}/2)}^2}{\text{sigma}^2} \Bigr)\\
f(x) &= \text{A} \times  \frac{f'(x) - f'(-1)}{1-f'(-1)}, \quad 0 \le x < \text{duration}
\end{aligned}
$$

where $f'(x)$ is the gaussian waveform without lifting or amplitude scaling, and $\text{A} = \text{amp} \times \exp\left(i\times\text{angle}\right)$.

> **Deprecated since version 1.3**
>
> The class `qiskit.pulse.library.symbolic_pulses.Gaussian` is deprecated as of Qiskit 1.3. It will be removed in Qiskit 2.0. The entire Qiskit Pulse package is being deprecated and will be moved to the Qiskit Dynamics repository: [https://github.com/qiskit-community/qiskit-dynamics](https://github.com/qiskit-community/qiskit-dynamics)

## Attributes

### alias

Default value: `'Gaussian'`