Additional properties of one-dimensional limit cycles
Des McLernon, Robert A. King · IEE Proceedings G (Electronic Circuits and Systems) · 1986
Limit cycles due to product rounding in a fixed-point implementation of a second-order recursive digital filter are examined. Some new properties deriving from Jackson’s ‘effective-value’ model are first presented. Then two limit cycle classifications are introduced based upon the notion of ‘reverse limit cycles’ and ‘phaseplane symmetry’. These classifications are subsequently shown to be linked to well-known results on limit cycle amplitude bounds and accessibility.