  This work explores the role of the intrinsic fluctuations in finite parameter
controller configurations characterizing an ensemble of arbitrary irregular
filter circuits. Our analysis illustrates that the parametric intrinsic
geometric description exhibits a set of exact pair correction functions and
global correlation volume with and without the variation of the mismatch
factor. The present consideration shows that the canonical fluctuations can
precisely be depicted without any approximation. The intrinsic geometric notion
offers a clear picture of the fluctuating controllers, which as the limit of
the ensemble averaging reduce to the specified controller. For the constant
mismatch factor controllers, the Gaussian fluctuations over equilibrium basis
accomplish a well-defined, non-degenerate, flat regular intrinsic Riemannian
surface. An explicit computation further demonstrates that the underlying power
correlations involve ordinary summations, even if we consider the variable
mismatch factor controllers. Our intrinsic geometric framework describes a
definite character to the canonical power fluctuations of the controllers and
constitutes a stable design strategy for the parameters.
