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.