# tensorplay.signal.windows.gaussian

Source: https://www.tensorplay.cn/docs/generated/tensorplay.signal.windows.gaussian.html

```python
tensorplay.signal.windows.gaussian(M: int, *, std: float = 1.0, sym: bool = True, dtype: dtype | None = None, layout: Layout = tensorplay.strided, device: device | None = None, requires_grad: bool = False) → Tensor
```

Computes a window with a Gaussian waveform.

The samples follow a Gaussian bump centered in the window:

$$w_n = \exp{\left(-\left(\frac{n}{2\sigma}\right)^2\right)}$$

The window is scaled so that its largest value is 1. The value 1 itself does not occur when M is even and sym is True.

Parameters:

M ([int](https://docs.python.org/3/builtins/functions.html#int)) – number of points of the returned window.

Keyword Arguments:

- std ([float](https://docs.python.org/3/builtins/functions.html#float), optional) – standard deviation of the Gaussian; it controls how narrow or wide the window is. Default: 1.0.

- sym ([bool](https://docs.python.org/3/builtins/functions.html#bool), optional) – if False, returns a periodic window, which is the usual choice for spectral analysis. If True, returns a symmetric window, which is the usual choice for filter design. Default: True.

- dtype ([tensorplay.dtype](/docs/generated/tensorplay.DType.html#tensorplay.DType), optional) – the desired data type of the returned tensor. Default: if None, uses the global default (see [tensorplay.set_default_dtype()](/docs/generated/tensorplay.set_default_dtype.html#tensorplay.set_default_dtype)).

- layout ([tensorplay.Layout](/docs/generated/tensorplay.Layout.html#tensorplay.Layout), optional) – the desired layout of the returned tensor. Default: tensorplay.strided.

- device ([tensorplay.device](/docs/generated/tensorplay.Device.html#tensorplay.Device), optional) – the desired device of the returned tensor. Default: if None, uses the current default tensor device (see [tensorplay.set_default_device()](/docs/generated/tensorplay.set_default_device.html#tensorplay.set_default_device)).

- requires_grad ([bool](https://docs.python.org/3/builtins/functions.html#bool), optional) – whether autograd should record operations on the returned tensor. Default: False.

Examples:

```
>>> # Symmetric Gaussian window of length 10 with std 1.0.
>>> tensorplay.signal.windows.gaussian(10)
tensor([0., 0.0022, 0.0439, 0.3247, 0.8825, 0.8825, 0.3247, 0.0439, 0.0022, 0.])

>>> # Periodic Gaussian window of length 10 with std 0.9.
>>> tensorplay.signal.windows.gaussian(10, sym=False, std=0.9)
tensor([0., 0.0001, 0.0039, 0.0847, 0.5394, 1., 0.5394, 0.0847, 0.0039, 0.0001])
```