Wide-band signal

Another assumption on the input signal is that it is a wide-band signal with the spectral properties of white noise. Let the spectrum of the input signal be S_in . The mean squared output signal $\overline{{V_{{\rm s},i}^2}}$ of integrator i is then

$$\overline{{V_{{\rm s},i}^2}}$$ (18)

where

$$\defin {\frac{{1}}{{2\pi}}} \int_{{-\infty}}^{\infty}$$ (19)

S_i(ω) is an input weighting function that is by default identical to 1. If the maximally allowed signal level at the outputs of the integrators is V_max , the maximum allowed value for S_in is

$${\frac{{ V_{\hbox{max}}^2 }}{{ \max_i \vert f_i\vert _2^2 }}}$$ (20)

If H is the transfer function of the filter, the maximum output signal level of the filter is

$$\overline{{V_{\hbox{max,out}}^2}} {\frac{{1}}{{2\pi}}} \int_{{-\infty}}^{\infty}$$ (21)

FA will use this assumption in determining maximal signal levels if the scale2 flag is set by

set: scale2