Constraints on constant-input oscillations of a bandpass sigma-delta modulator structure

International Journal of Circuit Theory and Applications

Volumn 25, Issue 5, 1997, Pages 393-405

  Petkov, Georgi P ^a   Davies, Anthony C ^b  

^a NEC Technologies (UK) Ltd   (United Kingdom)

^b KING'S COLLEGE LONDON   (United Kingdom)

Author keywords

Complex oscillations; Digital signal processing; Discrete time systems; Non linear dynamics

Indexed keywords

DIGITAL SIGNAL PROCESSING; DYNAMICS; MODULATORS; OSCILLATIONS;

DISCRETE-TIME SYSTEMS; SIGMA-DELTA MODULATION;

CIRCUIT THEORY;

EID: 0031233708     PISSN: 00989886     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-007X(199709/10)25:5<393::AID-CTA980>3.0.CO;2-K     Document Type: Article

References (10)

1. A. C. Davies and G. P. Petkov, 'A review of nonlinear behaviour of bandpass ΣΔ modulators', Proc. 19th Czech-Hungarian-Polish Workshop on Circuit Theory and Applications, Czech Technical University, Prague, September 1996, pp. 48-52.
2. A. C. Davies and G. P. Petkov, 'Zero-input oscillations bounds in a bandpass ΣΔ modulator', Electron. Lett. 33, 28-29 (1997).
3. O. Feely, 'Nonlinear dynamics of bandpass sigma-delta modulation', Proc. 3rd Int. Workshop on Non-linear Dynamics of Electronic Systems (NDES'95), university College Dublin, Dublin, July 1995, ISBN 1-898473-24-2, pp. 33-36.
4. L. Risbo, 'ΣΔ modulators - stability analysis and optimisation', Ph.D. Thesis, Technical University of Denmark, 1994.
5. O. Feely and D. Fitzgerald, 'Non-ideal and chaotic behaviour in bandpass sigma-delta modulators', Proc. 4th Int. Workshop on Non-linear Dynamics of Electronic Systems (NDES '96), Centro Nacional de Microelectrónica Seville, Seville, Spain, June 1996, pp. 399-403.
6. A. C. Davies, 'Periodic non-linear oscillations from bandpass sigma delta modulators', Proc. IEEE Int. Symp. on Circuits and Systems (ISCAS'96), Atlanta, GA, May 1996, IEEE, New York, 1996, Vol. 2, pp. 469-472.
7. A. C. Davies 'Nonlinear oscillations and chaos from digital filter overflow', Philos. Trans. R. Soc. A, London, 353, 85-89 (1995).
8. O. Feely and D. Fitzgerald, 'Bandpass sigma-delta modulation - an analysis from the perspective of non-linear dynamics', Proc. IEEE Int. Symp. on Circuits and Systems (ISCAS'96), Atlanta, GA, May 1996, IEEE, New York, 1996, Vol. 3, pp. 146-149.
9. A. C. Davies and G. P. Petkov, 'Overflow limit cycles from digital filters with complex eigenvalues within the unit circle', Proc. 3rd Int. Workshop on Non-linear Dynamics of Electronic Systems (NDES'95), University College Dublin, Dublin, July 1995, ISBN 1-898473-24-2, pp. 45-48.
10. A. C. Davies and G. P. Petkov, 'Computing basins of attraction of limit-cycles in non-linear discrete-time systems', Proc. IEEE Int. Symp. on Circuits and Systems (ISCAS'96), Atlanta, GA, May 1996, IEEE, New York, 1996, Vol. 3, pp. 162-165.