skrf.qfactor.Qfactor.angular_weights
- static Qfactor.angular_weights(f, f_L, Q_L)[source]
Diagonal elements W_i of weights matrix.
\[W_i = \frac{1}{\left[ \frac{2 Q_L (f_i - f_L)}{f_L} \right]^2 + 1}\]The weights are needed when frequencies are equally-spaced (rather than points equally spaced around the Q-circle), and help reducing systematic error [MAT58].
- Parameters:
- Returns:
W_i – Weighting factors in proportion to the rate of change of angle with frequency relative to the centre of the Q-circle.
- Return type:
np.ndarray
References
[MAT58]“Q-factor Measurement by using a Vector Network Analyser”, A. P. Gregory, National Physical Laboratory Report MAT 58 (2021) https://eprintspublications.npl.co.uk/9304/ section 2.4, eqn. (28).