# 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 in wv.

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