square_pulse

boulderopal.signals.square_pulse(duration, amplitude, start_time=0.0, end_time=None)

Create a Signal object representing a square pulse.

Parameters

• duration (float) – The duration of the pulse.
• amplitude (float or complex) – The amplitude of the square pulse, $A$.
• start_time (float , optional) – The start time of the square pulse, $t_0$. Defaults to 0.
• end_time (float or None , optional) – The end time of the square pulse, $t_1$. Must be greater than the start time. Defaults to the duration.

Returns

The square pulse.

Return type

Signal

SEE ALSO

boulderopal.signals.cosine_pulse : Create a Signal object representing a cosine pulse.

boulderopal.signals.gaussian_pulse : Create a Signal object representing a Gaussian pulse.

boulderopal.signals.sech_pulse : Create a Signal object representing a hyperbolic secant pulse.

Graph.signals.square_pulse_pwc : Graph operation to create a Pwc representing a square pulse.

Notes

The square pulse is defined as

where $\theta(t)$ is the Heaviside step function.

Examples

Define a square pulse and discretize it.

>>> pulse = bo.signals.square_pulse(duration=4.0, amplitude=2.5, start_time=1.0, end_time=3.0)
>>> pulse.export_with_time_step(time_step=1.0)
array([0. , 2.5, 2.5, 0. ])