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control.white_noise — Python Control Systems Library 0.10.2 documentation

control.white_noise
control.white_noise(T, Q, dt=0)[source]

Generate a white noise signal with specified intensity.

This function generates a (multi-variable) white noise signal of specified intensity as either a sampled continuous time signal or a discrete-time signal. A white noise signal along a 1D array of linearly spaced set of times T can be computing using

V = ct.white_noise(T, Q, dt)

where Q is a positive definite matrix providing the noise intensity.

In continuous time, the white noise signal is scaled such that the integral of the covariance over a sample period is Q, thus approximating a white noise signal. In discrete time, the white noise signal has covariance Q at each point in time (without any scaling based on the sample time).

Parameters:
T1D array_like

Array of linearly spaced times.

Q2D array_like

Noise intensity matrix of dimension nxn.

dtfloat, optional

If 0, generate continuous-time noise signal, otherwise discrete time.

Returns:
Varray

Noise signal indexed as V[i, j] where i is the signal index and j is the time index.


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