Band-Limited White Noise

Theoretically, continuous white noise has a correlation time equal to 0, a flat spectral power density (PSD) and total energy equal to infinity. In practice, physical systems never experience disturbances in the form of white noise, nevertheless, white noise is a useful theoretical approximation in cases where the disturbance has a correlation time that is very small compared to the natural bandwidth of the system.

You can simulate the white noise effect by using a random sequence with a correlation time much smaller than the smallest time constant of the system. Block Band-Limited White Noise creates exactly such a sequence. The correlation time of the noise in it coincides with the sampling frequency of the block. For accurate modeling, use a correlation time much shorter than the time constant of the fastest part of the system. You can get good results by specifying

,

where — the bandwidth of the system in rad/sec.

The main difference between this block and the block is Random Number The problem is that the block Band-Limited White Noise produces output data with a specific sampling rate. This frequency is related to the noise correlation time.