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

\[\mathop{\mathrm{Square}}(t) = A \theta(t-t_0) \theta(t_1-t) ,\]

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. ])