Evolutionary design of filter bank based on quaternions

This paper presents novel approach to the design of 4-channel filter bank composed of hypercomplex all-pass filters - a generalization of well known IIR all-passes to quaternion number system. This is uncommon alternative way of doing subband decomposition, but the design of such a system is difficult. Genetic algorithm was adopted to solve this hard numerical optimization task. The problem statement, the details of the evolutionary procedure and sample results are shown.