Title :
Suppression of overflow limit cycles in LDI all-pass/lattice filters
Author :
Harnefors, Lennart ; Holmberg, Johnny ; Signell, Svante
Author_Institution :
Dept. of Electr. Eng., Malardalen Univ., Vasteras, Sweden
fDate :
4/1/2000 12:00:00 AM
Abstract :
In this paper it is shown that zero-input overflow limit cycles can be suppressed in a class of lossless digital integrator (LDI) all-pass filters. This holds for any filter order, provided that saturation overflow characteristics are used at the input of each delay and for certain restrictions for the multiplier values. The results are shown to apply also to lossless digital differentiator (LDD) filters. The restrictions of multiplier values have the effect of excluding certain combinations of poles within the unit circle, most of which are in the left half circle where corresponding LDD filters can be used. Asymptotic stability can be guaranteed for all second-order LDI and LDD filters
Keywords :
all-pass filters; asymptotic stability; digital filters; filtering theory; lattice filters; limit cycles; state-space methods; LDD filters; LDI all-pass filter; LDI lattice filters; asymptotic stability; lossless digital differentiator filters; lossless digital integrator filters; multiplier values; overflow limit cycles suppression; saturation overflow characteristics; second-order filters; stability analysis; Band pass filters; Delay; Digital filters; Hardware; Lattices; Limit-cycles; Low pass filters; Lyapunov method; Nonlinear filters; Passive filters;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
