Rigorous analysis of delta-sigma modulators for fractional-N PLL frequency synthesis

IEEE Transactions on Circuits and Systems I: Regular Papers

Volumn 51, Issue 6, 2004, Pages 1148-1162

  Kozak, Mücahit ^a   Kale, Izzet ^b  

^a University of Rochester   (United States)

^b UNIVERSITY OF WESTMINSTER   (United Kingdom)

Author keywords

DC input; Delta sigma ( ) modulators; Fractional N phase locked loop (PLL); Frequency synthesis; Rigorous analysis

Indexed keywords

COMPUTER SIMULATION; DELTA SIGMA MODULATION; DIFFERENCE EQUATIONS; FREQUENCY SYNTHESIZERS; PHASE LOCKED LOOPS; SPURIOUS SIGNAL NOISE;

DELTA-SIGMA MODULATORS; FRACTIONAL-N PHASE LOCKED LOOP FREQUENCY SYNTHESIS;

MODULATORS;

EID: 3042692969     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2004.829308     Document Type: Article

References (29)

1. P. M. Azih, H. V. Sorensen, and J. V. D. Spiegel, "An overview of sigma-delta converters," IEEE Signal Processing Mag., pp. 61-84, Jan. 1996.
2. S. R. Norsworthy, R. Schreier, and G. C. Temes, Delta-Sigma Data Converters: Theory, Design and Simulation. New York: IEEE Press, 1996.
3. J. C. Candy and G. C. Temes, Oversampling Delta-SigmaData Converters: Theory, Design and Simulation. New York: IEEE Press, 1991.
4. R. M. Gray, "Quantization noise spectra," IEEE Trans. Inform. Theory, vol. 36, pp. 1220-1244, Nov. 1990.
5. S. H. Ardalan and H. J. Paulos, "An analysis of nonlinear behavior in delta-sigma modulators," IEEE Trans. Circuits Syst., vol. CAS-34, pp. 593-603, June 1987.
6. B. Miller and R. J. Conley, "A multiple modulator fractional divider," IEEE Trans. Instrum. Meas., vol. 40, pp. 578-582, June 1991.
7. T. A. D. Riley, M. A. Copeland, and T. A. Kwasniewski, "Delta-Sigma modulation in fractional-N frequency synthesis," IEEE J. Solid-State Circuits, vol. 28, pp. 553-559, May 1993.
8. M. H. Perrot, T. L. Tewksbury, and C. G. Sodini, "A 27 mW CMOS fractional-N synthesizer using digital compensation for 2.5 Mb/s GFSK modulation," IEEE J. Solid-State Circuits, vol. 32, pp. 2048-2059, Dec. 1997.
9. N. M. Filiol, T. A. D. Riley, C. Plett, and M. A. Copeland, "An agile ISM band frequency synthesizer with built-in GMSK data modulation," IEEE J. Solid-State Circuits, vol. 33, pp. 998-1008, July 1998.
10. B. G. Goldberg, "The evolution and maturity of fractional-N PLL synthesis," Microwave J., pp. 124-134, Sept. 1996.
11. ____, Digital Techniques in Frequency Synthesis. New York: McGraw-Hill, 1996.
12. U. L. Rohde, Digital PLL Frequency Synthesizers. Englewood Cliffs, NJ: Prentice-Hall, 1983.
13. W. Rhee, B. S. Song, and A. Akbar, "A 1.1 GHz CMOS fractional-N frequency synthesizer with a 3-b third-order ΔΣ modulator," IEEE J. Solid-State Circuits, vol. 35, pp. 1453-1460, Oct. 2000.
14. G. Temes, "Delta-sigma D/A converters," in Proc. IEEE Int. Symp. Circuits and Systems Tutorials, vol. 1, May-June 1994, pp. 225-234
15. J. C. Candy and O. J. Benjamin, "The structure of quantization noise from sigma-delta modulation," IEEE Trans. Commun., vol. COM-29, pp. 1316-1323, Sept. 1981.
16. V. Friedman, "The structure of the limit cycles in sigma-delta modulation," IEEE Trans. Commun., vol. COM-36, pp. 972-979, Aug. 1988.
17. N. M. Filiol, Personal Communication, 1999.
18. R. M. Gray, "Spectral analysis of quantization noise in a single-loop sigma-delta modulator with dc input," IEEE Trans. Commun., vol. 37, pp. 588-599, June 1989.
19. K. Uchimura, T. Hayashi, T. Kimura, and A. Iwata, "Oversampling A-to-D and D-to-A converters with multistage noise shaping modulators," IEEE Trans. Acoust., Speech, Signal Processing, vol. 36, pp. 1889-1905, Dec. 1988.
20. P. W. Wong and R. M. Gray, "Two-stage sigma-delta modulation," IEEE Trans. Acoust., Speech, Signal Processing, vol. 38, pp. 1937-1952, Nov. 1990.
21. W. Chou, P. W. Wong, and R. M. Gray, "Multi-stage sigma-delta modulation," IEEE Trans. Inform. Theory, vol. 35, pp. 784-796, July 1989.
22. N. He, F. Kuhlmann, and A. Buzo, "Double-loop sigma-delta modulation with dc input," IEEE Trans. Commun., vol. 38, pp. 487-495, Apr. 1990.
23. ____, "Multiloop sigma-delta mquantization," IEEE Trans. Inform. Theory, vol. 38, pp. 1015-1028, May 1992.
24. R. M. Gray, "Oversampled sigma-delta modulation," IEEE Trans. Commun., vol. COM-35, pp. 481-489, May 1987.
25. P. T. Kenny, T. A. D. Riley, N. M. Filiol, and M. A. Copeland, "Design and realization of a digital delta-sigma modulator for fractional-N frequency synthesis," IEEE Trans. Vehicular Tech., vol. 48, pp. 510-521, Mar. 1999.
26. M. Kozak and I. Kale, "A pipelined all-digital delta-sigma modulator for fractional-N frequency synthesis," IEEE Trans. Instrum. Meas., vol. 50, pp. 1154-1161, Oct. Oct. 2001.
27. ____, Oversampled Delta-Sigma Modulators: Analysis, Applications, and Novel Topologies. Boston, MA: Kluwer, 2003.
28. H. Weyl, "Uber Die Gleichverteilung Von Zahlen Mod Eins," Math. Ann., vol. 77, pp. 313-352, 1916.
29. L. B. Jolley, Summation of Series. New York: Dover, 1961.