Meixner nonorthogonal filters

Consideration was given to a new representation of the Meixner filters which, in distinction to the previously proposed filters, have a rational form of representation of any integer values of the additional parameter $\alpha$, can be used to describe the dynamic systems with fractional order for the noninteger $\alpha$, and are obtained directly from the continuous generalized Laguerre filters through a modified bilinear transformation. The paper described a design of the proposed nonorthogonal Meixner filter, numerically stable algorithm to optimize the filter parameters, as well as the results of computer experiments corroborating efficiency of the nonorthogonal Meixner filters for solution of practical problems.