CosineRiseFallDerivative

class iqm.pulse.playlist.waveforms.CosineRiseFallDerivative(n_samples, full_width, rise_time, center_offset=0.0)

Bases: Waveform

Derivative of a waveform that has a sinusoidal rise and fall, and a constant part in between.

\[\begin{split}f(t) = \begin{cases} -\sin(\pi (t - c + p / 2) / r) & t - (c - p / 2) \in [-r, 0]\\ -\sin(\pi (t - c - p / 2) / r) & t - (c + p / 2) \in [0, r]\\ 0 & \text{otherwise} \end{cases}\end{split}\]

where \(c\) is center_offset, \(r\) is rise_time, and \(p\) is the plateau width, calculated via \(p :=\) full_width - 2 * rise_time.

Its values are in \([-1, 1]\).

Parameters:

• full_width (float) – Duration of the support of the pulse, >= 2 * rise_time.

• rise_time (float) – Duration of the sinusoidal rise (and fall) part of the waveform, >= 0.

• center_offset (float) – The waveform is centered at this offset from the midpoint of the sampling window.

• n_samples (int) –

Module: iqm.pulse.playlist.waveforms

Attributes

center_offset
full_width
rise_time
n_samples	Requested number of samples for the waveform.

Methods

_sample(sample_coords)

Actually samples the waveform.

Parameters:

sample_coords (ndarray) – coordinates of the samples to be returned

Returns:

array of samples (same shape as sample_coords, dtype == float)

Return type:

ndarray