/spl beta/-operator: an adaptive discrete-time operator model for high sampling rate recursive digital filters

This paper introduces an adaptive discrete time operator called the /spl beta/-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 /spl delta/-operator. In fact the /spl delta/-operator is only a special case of the /spl beta/-operator. Simulation examples are given comparing between different operators.