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# Gaussian¶

class Gaussian(duration: Union[int, ParameterExpression], amp: Union[complex, ParameterExpression], sigma: Union[float, ParameterExpression], name: Optional[str] = None, limit_amplitude: Optional[bool] = None)[código fonte]

Bases: 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):

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

where $$f'(x)$$ is the gaussian waveform without lifting or amplitude scaling.

Create new pulse instance.

Parâmetros
• duration – Pulse length in terms of the sampling period dt.

• amp – The amplitude of the Gaussian envelope.

• sigma – A measure of how wide or narrow the Gaussian peak is; described mathematically in the class docstring.

• name – Display name for this pulse envelope.

• limit_amplitude – If True, then limit the amplitude of the waveform to 1. The default is True and the amplitude is constrained to 1.

Retorno

SymbolicPulse instance.

Attributes

alias = 'Gaussian'