HdDragI

class iqm.pulse.playlist.hd_drag.HdDragI(n_samples, full_width, coefficients, suppressed_frequencies, compute_coefs_from_frequencies, center_offset=0)

Bases: HdDrag

I-component of the higher derivative (HD) drag pulse.

The I-component is defined according to Eq. (B1) of [1] ,

\[I(t) = \sum_{n=0}^{K} \beta_{2n} g^{(2n)}(t),\]

where \(\{\beta_{2n}\}_{n=0}^K\) are the coefficients of the derivative terms, \(K\) is the number of suppressed frequencies, and \(g(t)\) is the basis envelope given by

\[g(t) = \sum_{k=1}^K d_k (1 - \cos(2 \pi k t/t_p + k\pi)),\]

where \(d_k\) are pre-computed to ensure continuous derivatives up to order \(2K + 1\), \(t_p\) denotes the pulse duration, and the pulse is defined across \(t \in (-t_p/2, t_p/2)\).

The sampled pulse is always normalized to have a maximum value slightly below 1.0.

Module: iqm.pulse.playlist.hd_drag

Attributes

full_width
coefficients
suppressed_frequencies
compute_coefs_from_frequencies
n_samples	Requested number of samples for the waveform.

Methods

Parameters:

• n_samples (int) –

• full_width (float) –

• coefficients (ndarray) –

• suppressed_frequencies (ndarray) –

• compute_coefs_from_frequencies (bool) –

• center_offset (float) –

_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