freqresp_relative_error
Relative error between a reference signal and a second signal.
The error metric is defined as in [1] to be:
\[\varepsilon_{rel}[\mathbf{Y}_1, \mathbf{Y}_2] = \frac{\max_{i,j} (\sup_{w\in[0, \bar{w}]}[\mathbf{Y}_2 -
\mathbf{Y}_1]_{i, j})}{\max_{i,j}(\sup_{w\in[0, \bar{w}]}[\mathbf{Y}_1]_{i,j})}.\]
- param y1:
Reference signal frequency response.
- type y1:
np.ndarray
- param y2:
Frequency response matrix.
- type y2:
np.ndarray
- param wv:
Array of frequencies. Required when specifying a max and min value
- type wv:
Optional [np.ndarray]
- param **kwargs:
Key word arguments for max and min frequencies. See below.
- Keyword Args
vmin (float): Lower bound value to find index in
wv. vmax (float): Upper bound value to find index inwv.
- returns:
Maximum relative error between frequency responses.
- rtype:
float
References
Maraniello, S. and Palacios, R. Parametric Reduced Order Modelling of the Unsteady Vortex Lattice Method. AIAA Journal. 2020