 On the other hand, IIR filters pose some potentially significant implementation and stabilization problems not encountered with FIR filters.The design of an M-D recursive filter is quite different from the design of a 1-D filter which is due to the increased difficulty of assuring stability.For a formula_11 dimensional domain, the output formula_12 can be represented as

formula_23

formula_24

The transfer function in this case will have both numerator and denominator terms due to the presence of feedback.