The Effects of Arithmetic Roundoff Error on the Lévy Fire Fly Algorithm When Used in Coupled Form Adaptive Filter Structures

Finite word-length binary arithmetic used in IIR digital filter coupled form second order sections implements conjugate-pair poles that have uniform pole locations located throughout the z-plane unit circle. When an LFFA IIR adaptive filter is implemented with direct form second order sections, due to high pole sensitivities the effects of arithmetic quantization error vary a great amount as the adaptive algorithm moves poles to different locations in the z-plane. Research results presented in this paper verify that for IIR adaptive filters implemented with coupled form second order sections, arithmetic quantization error effects are not very sensitive to the adaptive filter pole locations.