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The filter output noise level is calculated from the inputreferred
noise spectra
S_{n, i}
of the
intrinsic
integrators and the transfer functions g_{i}
from the inputs of the
intrinsic integrators to the output of the filter.
If the noise spectra
S_{n, i}
are white,
the output noise level of the filter is
= S_{n, i} g_{i}_{2}^{2}.

(24) 
The dynamic range is
DR =

(25) 
where
follows either from
(17) or from (21) or (23).
In the same way as  f_{i}_{2}^{2}
is dependent on an input weighting function,
 g_{i}_{2}^{2}
is dependent on an output weighting
function
S_{o}(ω)
, which by default is identical to 1.
Furthermore, one can prove [1] that
S_{n, i} =  b_{i} +  a_{ij}

(26) 
where C_{i}
is the capacitance used for integrator i
, and ξ
is
the noise factor.
FA will determine the dynamic range from the scaling flags, the total
capacitance in the filter (the variable ctot), the maximal
integrator output level (the variable umax) and the noise factor
(the variable noisefactor) upon the command:
output: dr;
If the variable ctot is not set, it will generate an error message.
Next: Weighting Functions
Up: Definition of Dynamic Range
Previous: Sinusoid with fixed frequency
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