A very popular assumption is that the input signal is a sinusoid
with unknown frequency. In the time domain:
V_{in}(t) = V_{A}sin(ωt).
(12)
Let
v_{in}(s)
be the Laplace transform of
V_{in}(t)
.
If the transfer function in the Laplace domain from the input of the filter
to the output of integrator i
is f_{i}
:
f_{i}(s) = ,
(13)
the amplitude of
the signal at the output of this integrator will be
| x_{i}(jω)| = | f_{i}(jω)| V_{A}
(14)
Let the maximum output signal amplitude at the output of any integrator be
V_{max}
. The maximum filter input amplitude
V_{max, in}
is then:
V_{max, in} =
(15)
and the maximum filter output signal level is
V_{max, out} = V_{max, in}(| H(jω)|).
(16)
The mean-squared maximal output level is
=
(17)
FA will use this assumption to calculate the maximum output signal level
and the dynamic range if the scale_inf flag is set by