Stability tests for single-bit sigma-delta modulators with second-order FIR noise transfer functions

Author

Schreier, Richard ; Yang, Yaohua

Author_Institution

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

Volume

3

fYear

1992

fDate

10-13 May 1992

Firstpage

1316

Abstract

The authors study the stability of sigma-delta modulators with second-order FIR (finite impulse response) noise transfer functions. At present, there is no analytical criterion which is both necessary and sufficient for the stability of such systems, even when the input is known. The authors present a variety of tests, culminating with the results of a simple computer algorithm which proves the zero-input stability of 94% of the modulators of the foregoing type which are, according to brute-force simulations, believed to be stable. The algorithm may be extended to higher-order FIR, or even IIR (infinite impulse response) transfer functions and may also be modified to incorporate bounded inputs

Keywords

delta modulation; modulators; stability; transfer functions; FIR noise transfer functions; IIR; bounded inputs; computer algorithm; finite impulse response; infinite impulse response; second-order; single-bit sigma-delta modulators; zero-input stability; Circuit simulation; Circuit stability; Circuit testing; Delta modulation; Delta-sigma modulation; Finite impulse response filter; Noise figure; Noise shaping; Stability analysis; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1992. ISCAS '92. Proceedings., 1992 IEEE International Symposium on

Conference_Location

San Diego, CA

Print_ISBN

0-7803-0593-0

Type

conf

DOI

10.1109/ISCAS.1992.230262

Filename

230262