Stability analysis of high-order delta-sigma modulation for ADC´s

Author

Baird, Rex T. ; Fiez, Terri S.

Author_Institution

Sch. of Electr. Eng. & Comput. Sci., Washington State Univ., Pullman, WA, USA

Volume

41

Issue

1

fYear

1994

fDate

1/1/1994 12:00:00 AM

Firstpage

59

Lastpage

62

Abstract

A model for ΔΣ A/D modulators that allows stability analysis using linear methods is described. This model draws out the dependence of stability on system parameters such as integrator gains and delays as well as the dependence on dynamic characteristics such as input amplitude, transients, and initial conditions. In addition, high-order systems are found to be prone to a previously unrecognized source of instability, saturation limit cycles. Stabilizing high-order systems requires controlling the saturation limit cycles, minimizing the integrator delays, and the proper choice of integrator gains. The dominant means of stabilizing high-order systems, however, is identified to be the use of multi-bit quantization since this transforms the nature of the system rather than just restricting the region of operation

Keywords

analogue-digital conversion; delta modulation; limit cycles; modulators; nonlinear network analysis; ΔΣ A/D modulators; delta-sigma modulation; dynamic characteristics; initial conditions; input amplitude; integrator delays; integrator gains; linear methods; multi-bit quantization; saturation limit cycles; stability analysis; stabilization; transients; Circuit stability; Delay; Delta modulation; Delta-sigma modulation; Digital filters; Limit-cycles; Pulse modulation; Quantization; Signal resolution; Stability analysis;

fLanguage

English

Journal_Title

Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1057-7130

Type

jour

DOI

10.1109/82.275660

Filename

275660