Abstract
Bandpass sigma delta modulators are highly desirable in precision analog-to-digital conversion applications for narrow-band intermediate frequency signals. This paper describes the design, analysis and implementation of a novel differentially quantized bandpass analog-to-digital conversion technique for digital radio application. A new class of noise-shaping data converter, i.e., the differential quantizer-based error feedback modulator, is introduced, which replaces the integrator/resonator with a differential quantizer to achieve noise-shaping characteristics. Thus, integrator-associated non-idealities, loop stability issues and optimization of the integrator scaling coefficients are no more a concern. Furthermore, a comparison to the conventional bandpass sigma delta analog-to-digital conversion is also been presented here. Behavioral-level simulation results demonstrate the mathematical equivalence of the differential quantizer-based bandpass error feedback modulator technique with bandpass sigma delta modulator technique and confirm its novelty, theoretical stability and scalability to higher order. The circuit-level feasibility, hardware efficiency and power efficiency of the proposed architecture are verified in a 45 nm CMOS process with a 1 V supply. Simulation results show a power consumption of 0.62 and 0.95 mW for the proposed and the conventional architectures, respectively.
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References
R.J. Baker, CMOS Circuit Design, Layout and Simulation (IEEE Press, Wiley, Hoboken, New Jersey, 2010)
S. Brigati, F. Francesconi, P. Malcovati, F. Maloberti, Modeling Band-Pass Sigma–Delta Modulators in Simulink. Department of Electronic Engineering, University of Pavia
F. Francesconi, V. Liberali, F. Maloberti, A bandpass sigma–delta modulator architecture for digital radio, in Proceedings of the Midwest Symposium On Circuits and Systems (Rio de Janeiro, Brazil, 1995), pp. 885–888
I. Galton, Delta-sigma data conversion in wireless transceivers. IEEE Trans. Microw. Theory Technol. 50(1), 302–315 (2002)
H. Inose, Y. Yasuda, J. Murakami, A telemetering system by code modulation: \(\Delta \)–\(\Sigma \) modulation. IRE Trans. Space Electron. Telem. 8(3), 204–209 (1962)
S. Jantzi, R. Schreier, M. Snelgrove, Bandpass sigma–delta analog-to-digital conversion. IEEE Trans. Circuits Syst. 38(11), 1406–1409 (1991)
S.A. Jantzi, W.M. Snelgrove, P.F. Ferguson, A fourth order bandpass sigma–delta modulator. IEEE J. Solid-State Circuits 28(3), 282–291 (1993)
D. Johns, K. Martin, Analog Integrated Circuit Design (Wiley, New York, 1996)
M. Keskin, U. Moon, G.C. Temes, Amplifier imperfection effects in switched-capacitor resonators, in Proceedings of IEEE International Workshop ADC Modeling Testing (2003), pp. 67–70
K. Lee, M. Bonu, G.C. Temes, Noise-coupled \(\Delta \Sigma \) ADCs. Electron. Lett. 42(24), 1381–1382 (2006)
H. Lin, Y. Zhang, F. Long, F. Mei, M. Yu, F. Lin, L. Yao, X. Jiang, Digital noise-coupling technique for delta-sigma modulators with segmented quantization. IEEE Trans. Circ. Syst. 61(6), 403–407 (2014)
L. Longo, B.R. Horng, A 15 b 30 kHz bandpass sigma–delta modulator, in IEEE International Solid-State Circuits Conference (San Francisco, CA, 1993), pp. 226–227
N. Maghari, G.C. Temes, U. Moon, Single-loop DS modulator with extended dynamic range. Electron. Lett. 44(25), 1452–1453 (2008)
N. Maghari, S. Kwon, G.C. Temes, U. Moon, Sturdy MASH \(\Delta \)-\(\Sigma \) modulator. Electron. Lett. 42(22), 1269–1270 (2006)
F. Maloberti, Data Converters (Springer, Netherlands, 2007)
M. Momeni, A. Guntoro, H.P. Keil, M. Glesner, Impact of circuit nonidealities on the implementation of switched-capacitor resonators, in Proceedings of IEEE Asia-Pacific Conference on Circuits and Systems (APCCAS) (Macau, China, 2008), pp. 1624–1627
S.R. Norsworthy, R. Schreier, G.C. Temes, Delta–Sigma Data Converters: Theory, Design, and Simulation (IEEE Press, New York, 1996)
J. Prakash, B.R. Jose, J. Mathew, B.A. Jose, A differential quantizer based error feedback modulator for analog to digital converters. IEEE Trans. Circuits Syst. II Express Briefs 65(1), 21–25 (2018)
L.R. Rabiner, B. Gold, Theory and Application of Digital Signal Processing (Prentice Hall, Englewood Cliffs, 1975)
A. Rusu, M. Ismail, Low-distortion bandpass \(\Sigma \)–\(\Delta \) modulator for wireless radio receivers. Electron. Lett. 41(19), 1044–1046 (2005)
R. Schreier, M. Snelgrove, Bandpass sigma–delta modulation. Electron. Lett. 25, 1560–1561 (1989)
R. Schreier, G.C. Temes, Understanding Delta–Sigma Data Converters (IEEE Press, Piscataway, 2005)
F.W. Signor, W.M. Snelgrove, Switched-capacitor bandpass delta–sigma A/D modulation at 10.7 MHz. IEEE J. Solid State Circuits 30(3), 184–192 (1995)
B.S. Song, A fourth-order bandpass delta–sigma modulator with reduced number of OP amps. IEEE J. Solid-State Circuits 30(12), 1309–1315 (1995)
Acknowledgements
This work was funded by Kerala State Council for Science, Technology and Environment (KSCSTE). Rijo Sebastian was supported by the Government of India through the research fellowship under MANF scheme (Grant No. F1-17.1/2014-15/MANF-CHR-KER-47651).
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Sebastian, R., Prakash, A.V.J., Jose, B.R. et al. A Differentially Quantized Bandpass Error Feedback Modulator for ADCs in Digital Radio. Circuits Syst Signal Process 37, 4181–4199 (2018). https://doi.org/10.1007/s00034-018-0782-z
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DOI: https://doi.org/10.1007/s00034-018-0782-z