iqm.pulse.playlist.hd_drag.evaluate_hd_drag_i_envelope#
- iqm.pulse.playlist.hd_drag.evaluate_hd_drag_i_envelope(t_arr, pulse_duration, derivative_coefs_arr, cosine_coefs_arr)#
Evaluate I-envelope of HD DRAG given the coefficients of the derivative terms and the cosine terms.
The I-envelope is defined as \(I(t) = \sum_{n=0}^{K} \beta_{2n} g^{(2n)}(t)\), where \(K\) is the number of suppressed frequency ranges, \(\{beta_{2n}\}\) are the coefficients of the derivative terms, and \(g(t)\) is the basis envelope. The pulse is assumed to start at time
-pulse_duration/2, and end at timepulse_duration/2.- Parameters:
t_arr (ndarray) – Array of time points, at which the function is to be evaluated
pulse_duration (float) – Pulse duration in the same units as t_arr
derivative_coefs_arr (ndarray) – Coefficients of the even derivatives
cosine_coefs_arr (ndarray) – Coefficients of the cosine terms in the basis envelope
- Returns:
I-envelope of a HD DRAG pulse evaluated at
t_arr- Return type: