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

Volume

47

Issue

4

fYear

2000

fDate

4/1/2000 12:00:00 AM

Firstpage

594

Lastpage

598

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;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.841864

Filename

841864