Optimality condition
for Meixner filters
S. A. Prokhorov, I. M. Kulikovskikh
Samara State Aerospace University (SSAU), Samara
The paper is
received on
April 8, 2015
Abstract.
The paper delves into Meixner filters optimization problem based on
considering necessary and sufficient conditions for scale parameter optimality.
Applying modified bilinear transform to continuous generalized Laguerre
filters, we introduced Meixner filters. The findings of this research present the
convincing explanation for the optimality condition. We employed connection
coefficients to work out relations for Meixner-like functions to provide this
evidence and conducted a series of computational experiments to show the
validity of the proposed results.
Key words:
Meixner filters, modified bilinear transform, connection coefficients,
scale parameter, optimality condition.