β-operator: an adaptive discrete-time operator model for high sampling rate recursive digital filters

This paper introduces an adaptive discrete time operator called the β-operator for the design of high sampling rate recursive digital filters. It is shown that this operator is superior to the z-operator and,can also provide better numerical advantages compared with the δ-operator. In fact the δ-operator is only a special case of the β-operator. Simulation examples are given comparing between different operators