Nonlinear dynamics of bandpass sigma-delta modulation - An investigation by means of the critical lines tool

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 10, Issue 2, 2000, Pages 307-323

  Feely, Orla ^a   Fournier Prunaret, Daniele ^b   Taralova Roux, Ina ^a   Fitzgerald, David ^c  

^a UNIVERSITY COLLEGE DUBLIN   (Ireland)

^b INSA   (France)

^c NORTEL NETWORKS   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034134395     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127400000207     Document Type: Article

References (16)

1. Candy, J. C. [1974] "A use of limit cycle oscillations to obtain robust analog-to-digital converters," IEEE Trans. Commun. 22, 298-305.
2. Candy, J. C. [1985] "A use of double integration in sigma-delta modulation," IEEE Trans. Commun. 33, 249-258.
3. Candy, J. C. & Temes, G. C. (eds.) [1992] Oversampling Delta-Sigma Data Converters (IEEE Press, NY).
4. Chua, L. O. & Lin, T. [1988] "Chaos in digital filters," IEEE Trans. Circuits Syst. 35, 648-658.
5. Cutler, C. C. [1960] "Transmission system employing quantization," U.S. Patent No. 2927962.
6. Feely, O. & Chua, L. O. [1991] "The effect of integrator leak in sigma-delta modulation," IEEE Trans. Circuits Syst. 38, 1293-1305.
7. Feely, O. & Chua, L. O. [1992] "Nonlinear dynamics of a class of analog-to-digital converters," Int. J. Bifurcation and Chaos 2, 325-340.
8. Feely, O. & Fitzgerald, D. [1996] "Bandpass sigma-delta modulation - an analysis from the perspective of nonlinear dynamics," Proc. IEEE Int. Symp. Circuits Syst. III, pp. 146-149.
9. Feely, O. [1997] "A tutorial introduction to non-linear dynamics and chaos and their application to sigma-delta modulators," Int. J. Circuit Th. Appl. 25, 347-367.
10. Fournier-Prunaret, D. & Gicquel, N. [1995] "Bifurcation and chaotic phenomena in an order 2 DPCM system," Proc. European Conf. Circuit Theory and Design I, pp. 103-106.
11. Gray, R. M. [1987] "Oversampled sigma-delta modulation," IEEE Trans. Commun. 35, 481-489.
12. Inose, H., Yasuda, Y. & Murakami, J. [1962] "A telemetering system by code modulation - Σ-Δ modulation," IRE Trans. Space. Electron. Telemetry 8, 204-209.
13. Mira, C., Gardini, L., Barugola, A. & Cathala, J. C. [1996] Chaotic Dynamics in Two-Dimensional Non-Invertible Maps (World Scientific, Singapore).
14. Mira, C. [1996] "About two-dimensional piecewise continuous noninvertible maps," Int. J. Bifurcation and Chaos 6, 893-918.
15. Norsworthy, S. R., Schreier, R. &. Temes, G. C. (eds.) [1997] Delta-Sigma Data Converters (IEEE Press, NY).
16. Schreier, R. & Snelgrove, M. [1991] "Bandpass sigma-delta modulation," Electron. Lett. 25, 1560-1561.