Novel stable higher order s-to-z transforms

Abstract

Novel stable higher order s-to-z transforms are introduced. A class of second-order stable transforms is obtained by stabilizing the class of second-order integrators resulting from interpolating the Simpson and the trapezoidal rules. In addition new transforms are obtained by stabilizing the s-to-z mapping functions obtained from the Adams-Moulton numerical integration formulas. The approach is general and can be applied to other integration rules to obtain stable transforms. An important advantage of the new stabilized rules is that they yield minimum phase filters when applied to analog all-pole filters.