freqresp_relative_errorΒΆ
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