Pole position problem for Meixner filters

This paper is motivated by previous research that demonstrates the importance of the explicit solution to the pole position problem. The main purpose of this paper is to solve the two-parameter pole position problem for the Meixner filters with an extra parameter. To attain the objective, we extended the theoretical results provided for the discrete Laguerre filters and proposed the approach to optimizing the extra parameter using the connection coefficients method. The present research yields a series of computational experiments to test this approach, to verify the theoretical results, and to point up the positive outcomes of using the Meixner filters.