RecurrenceFilter
RecurrenceFilter[{α,β},x] filters x using a linear recurrence equation with coefficients α and β.
RecurrenceFilter[tf,x] uses a discrete-time filter defined by the TransferFunctionModel tf.
RecurrenceFilter[…,x,{y0,y-1,…}] uses a specified list {y0,y-1,…} as the initial condition.
RecurrenceFilter[…,image] filters image.
RecurrenceFilter[…,sound] filters sampled sound object.
Examples
Apply a simple recurrence filter:
RecurrenceFilter[{{1}, {0.5}}, {1, 0, 0, 0, 0}]
(* {1., 0.5, 0.25, 0.125, 0.0625} *)Please visit the official Wolfram Language Reference for more details.