Invariant sets for general second-order low-pass delta-sigma modulators with DC inputs

Author

Zhang, Bo ; Goodson, Montgomery ; Schreier, Richard

Author_Institution

Dept. of Electr. & Comput. Eng., Oregon State Univ., Corvallis, OR, USA

Volume

6

fYear

1994

fDate

30 May-2 Jun 1994

Firstpage

1

Abstract

An invariant set, S, is a set of points in state space which has the property that all trajectories emanating from points in S remain in S. Such sets are useful in the context of delta-sigma modulation as they yield rigorous theoretical bounds on the state variables. This paper describes analytic and algorithmic methods for finding invariant sets of second-order delta-sigma modulators with DC inputs. The noise transfer functions of the modulators studied have two zeros near z=1 and arbitrary poles. The state-variable bounds which result are quite tight, with the algorithmic method providing the tightest bounds

Keywords

circuit noise; invariance; modulators; nonlinear network analysis; poles and zeros; sigma-delta modulation; state-space methods; transfer functions; DC inputs; algorithmic methods; arbitrary poles; invariant sets; noise transfer functions; nonlinear maps; second-order low-pass delta-sigma modulators; state space; state-variable bounds; zeros; Algorithm design and analysis; Delta modulation; Delta-sigma modulation; Digital modulation; Manufacturing; Poles and zeros; Robustness; Stability; State-space methods; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1994. ISCAS '94., 1994 IEEE International Symposium on

Conference_Location

London

Print_ISBN

0-7803-1915-X

Type

conf

DOI

10.1109/ISCAS.1994.409512

Filename

409512