I. Introduction
The TRADEOFFF between infinite-impulse response (IIR) filter and finite-impulse response (FIR) one is that the former requires much lower orders for a given desired specification. This means that IIR filters require much fewer multipliers and adders for digital implementation and are very efficient. The commonly used IIR filters are the Chebyshev, Butterworth and Elliptic filters derived from the corresponding analog filters. The existing deterministic methodologies often lead to too high order IIR filters so the mentioned tradeoff between IIR and FIR filters are hardly enhanced. It is especially true in the IIR filter bank design problem (see e.g., [14], [16], [17], [21], [22] for its applications to image processing and communication), which is formulated as follows (see Fig. 1).