# qiskit.pulse.library.gaussian_square

`gaussian_square(duration, amp, sigma, risefall=None, width=None, name=None, zero_ends=True)`

Generates gaussian square `Waveform`

.

For $d=$ `duration`

, $A=$ `amp`

, $\sigma=$ `sigma`

, and $r=$ `risefall`

, applies the `midpoint`

sampling strategy to generate a discrete pulse sampled from the continuous function:

where $g(x)$ is the Gaussian function sampled from in `gaussian()`

with $A=$ `amp`

, $\mu=1$, and $\sigma=$ `sigma`

. I.e. $f(x)$ represents a square pulse with smooth Gaussian edges.

If `zero_ends == True`

, the samples for the Gaussian ramps are remapped as in `gaussian()`

.

**Parameters**

**duration**(`int`

) – Duration of pulse. Must be greater than zero.**amp**(`complex`

) – Pulse amplitude.**sigma**(`float`

) – Width (standard deviation) of Gaussian rise/fall portion of the pulse.**risefall**(`Optional`

[`float`

]) – Number of samples over which pulse rise and fall happen. Width of square portion of pulse will be`duration-2*risefall`

.**width**(`Optional`

[`float`

]) – The duration of the embedded square pulse. Only one of`width`

or`risefall`

should be specified as the functional form requires`width = duration - 2 * risefall`

.**name**(`Optional`

[`str`

]) – Name of pulse.**zero_ends**(`bool`

) – If True, zero ends at`x = -1, x = duration + 1`

, but rescale to preserve amp.

**Raises**

**PulseError** – If `risefall`

and `width`

arguments are inconsistent or not enough info.

**Return type**

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