Abstract
Oversampling converters, initially used for audio-band and highresolution applications, are now widely used in systems requiring video-band and medium-resolution. The technique, as we shall study, benefits from both noise-shaping and oversampling to give an optimum trade-off between speed and resolution. This chapter recalls the basic principles of the oversampling method and discusses first and second order architectures providing the basis for the study, made in the next chapter, of high order sigma-delta architectures, continuous-time solutions and sigma-delta DAC.
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References
Books and Monographs
J. Candy and G. Temes: Oversampling Delta-Sigma Data Converters: Theory, Design and Simulation, New York: IEEE Press, 1992.
S. R. Norsworthy, R. Schreier, and G. C. Temes: Delta-Sigma Data Converters Theory, Design, and Simulation, New York, NY: IEEE Press, 1997.
R. Schreier, and G. C. Temes: Understanding Delta-Sigma Data Converters, New York, NY: J. Wiley & Sons, NJ, 2005.
Journals and Conference Proceedings Delta and Sigma-Delta
F. De Jager: Delta modulation, a method of PCM transmission using the 1-unit code, Philips Research Rep., no. 7, pp. 442–466, 1952.
J. B. O’Neal and R. W. Stroh: Differential PCM for speech and data signals, IEEE Trans. on Communications, vol. COMM-20, pp. 900–912, 1972.
J. C. Candy and O. J. Benjamin: The Structure of Quantization Noise from Sigma-Delta Modulation, IEEE Trans. Communications, vol. COM-29, pp. 1316–1323, 1981.
J. C. Candy: A Use of Double Integration in Sigma Delta Modulation, IEEE Trans. on Communications, vol. COM-33, pp. 249–258, 1985.
R. Koch, B. Heise, F. Eckbauer, E. Engelhardt, J. A. Fisher, and F. Parzefall: A 12-bit sigma-delta analog-to-digital converter with a 15-MHz clock rate, IEEE Journal of Solid-State Circuits, vol. 21, pp. 1003–1010, 1986.
S. H. Ardalan and J. J. Paulos: An analysis of nonlinear behavior in delta — sigma modulators, IEEE Trans. Circuit Syst., vol. CAS-34, pp. 593–603, 1987.
S. R. Norsworthy, I. G. Post, and H. S. Fetterman: A 14-bit 80-kHz sigma-delta A/D converter: Modeling, design and performance evaluation, IEEE Journal of Solid-State Circuits, vol. 24, pp. 256–266, 1989.
R. M. Gray, W. Chou, and P. W. Wong: Quantization Noise in Single-Loop Sigma-Delta Modulation with Sinusoidal Inputs, IEEE Trans. Communications, vol. COM-37, pp. 956–968, 1989.
R. M. Gray: Spectral Analysis of Quantization Noise in a Single-Loop Sigma-Delta Modulator with dc Input, IEEE Trans. Communications, vol. COM-37, pp. 588–599, 1989.
B. P. Brandt, D. E. Wingard, and B. A. Wooley: Second-order sigma-delta modulation for digital-audio signal acquisition, IEEE Journal of Solid-State Circuits, vol. 26, pp. 618–627, 1991.
Dynamic Range Optimization
B. E. Boser and B. A. Wooley: The design of sigma-delta modulation analog-to-digital converters, IEEE Journal of Solid-State Circuits, vol. 23, pp. 1298–1308, 1988.
J. Silva, U. Moon, J. Steensgaard, and G. Temes: Wideband low-distortion delta-sigma ADC topology, Electron. Lett., vol. 37, pp. 737–738, 2001.
A. A. Hamoui and K. W. Martin: High-order multibit modulators and pseudo data-weighted-averaging in low-oversampling ΣΔ ADC’s for broadband applications, IEEE Transaction on Circuits Syst. I, vol. 51, pp. 72–85, 2004.
K. Nam, S. Lee, D. K. Su, and B. A. Wooley: A low-voltage low-power sigma-delta modulator for broadband analog-to-digital conversion, IEEE Journal of Solid-State Circuits, vol. 40, pp. 1855–1864, 2005.
Circuit Implementations
L. Schuchman: Dither signals and their effect on quantization noise, IEEE Trans. Communications Tech., vol. COMM-12, pp. 162–165, 1964.
K. Nagaraj, T.R. Viswanathan, K. Singhal, and J. Vlach: Switched-capacitor circuits with reduced sensitivity to amplifier gain, IEEE Trans. Circuit Syst., vol. CAS-34, pp. 571–574, 1987.
L. Le Toumelin, P. Carbou, Y. Leduc, P. Guignon, J. Oredsson, and A. Lindberg: A 5-V CMOS line controller with 16-b audio converters, IEEE Journal of Solid-State Circuits, vol. 27, pp. 332–342, 1992.
P. J. Hurst, R. A. Levinson, and D. J. Block: A switched-capacitor delta-sigma modulator with reduced sensitivity to op-amp gain, IEEE Journal of Solid-State Circuits, vol. 28, pp. 691–696, 1993.
J.W. Fattaruso, S. Kiriaki, M. de Wit, and G. Warwar: Self-calibration techniques for a secondorder multibit sigma-delta modulator, IEEE Journal of Solid-State Circuits, vol. 28, pp. 1216–1223, 1993.
P. Ju, K. Suyama, P. F. Ferguson Jr., and W. Lee: A 22-kHz multibit switched-capacitor sigmadelta D/A converter with 92 dB dynamic range, IEEE Journal of Solid-State Circuits, vol. 30, pp. 1316–1325, 1995.
V. Peluso, M. S. J. Steyaert, and W. Sansen: A 1.5-V-100-µW ΣΔ modulator with 12-b dynamic range using the switched-opamp technique, IEEE Journal of Solid-State Circuits, vol. 32, pp. 943–952, July 1997.
W. Wey and Y. Huang: A CMOS delta-sigma true RMS converter, IEEE Journal of Solid-State Circuits, vol. 35, pp. 248–257, 2000.
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(2007). Oversampling And Low Order ΣΔ Modulators. In: Data Converters. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-32486-9_6
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DOI: https://doi.org/10.1007/978-0-387-32486-9_6
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