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.

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

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