Suppression of overflow limit cycles in LDI all-pass/lattice filters

In this paper it is shown that zero-input overflow limit cycles can be supp ressed in a class of lossless digital integrator (LDI) all-pass filters. na mely, that introduced in [1], This holds for any filter order, provided tha t saturation overflow characteristics are used at the input of each delay a nd for certain restrictions for the multiplier values. The results are show n to apply also to lossless digital differentiator (LDD) filters. The restr ictions of multiplier values have the effect of excluding certain combinati ons of poles within the unit circle, most of which are in the left half cir cle where corresponding LDD filters can be used. Asymptotic stability can b e guaranteed for all second-order LDI and LDD filters.