A digital requantizer with shaped requantization noise that remains well behaved after nonlinear distortion

IEEE Transactions on Signal Processing

Volumn 55, Issue 11, 2007, Pages 5382-5394

  Swaminathan, Ashok ^a,b   Panigada, Andrea ^a   Masry, Elias ^a   Galton, Ian ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b NextWave Wireless Inc   (United States)

Author keywords

Dither techniques; Nonlinearities; Quantization

Indexed keywords

DIGITAL TO ANALOG CONVERSION; SIGNAL TO NOISE RATIO; STATISTICAL METHODS; VECTOR QUANTIZATION;

DIGITAL REQUANTIZER; DITHER TECHNIQUES; SHAPED QUANTIZATION NOISE;

NONLINEAR DISTORTION;

EID: 36248991187     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2007.899385     Document Type: Article

References (23)

1. R. Schreier and G. C. Temes, Understanding Delta-Sigma Data Converters. New York: Wiley-IEEE Press, 2004.
2. B. Razavi, Phase-Locking in High-Performance Systems: From Devices to Architectures. New York: Wiley-Interscience, 2003.
3. I. Galton, "Delta-sigma data conversion in wireless transceivers," IEEE Trans. Microw. Theory Tech., vol. 50, no. 1, pp. 302-315, Jan. 2002.
4. T. H. Lee, The Design of CMOS Radio-Frequency Integrated Circuits, 2nd ed. Cambridge, U.K.: Cambridge Univ. Press, 2003.
5. S. Pamarti, J. Welz, and I. Galton, "Statistics of the quantization noise in one-bit dithered single-quantizer digital delta-sigma modulators," IEEE Trans. Circuits Syst. I: Reg. Papers, vol. 54, no. 3, pp. 492-503, Mar. 2007.
6. W. Chou and R. M. Gray, " Dithering and its effects on sigma-delta and multistage sigma-delta modulation," IEEE Trans. Inf. Theory, vol. 37, no. 3, pp. 500-513, May 1991.
7. S. Pamarti, L. Jansson, and I. Galton, "A wideband 2.4-GHz delta-sigma fractional-N PLL with 1-Mb/s in-loop modulation," IEEE J. Solid-State Circuits, vol. 39, no. 1, pp. 49-62, Jan. 2004.
8. B. De Muer and M. Steyaert, "A CMOS monolithic Δ∑-controlled fractional-N frequency synthesizer for DCS-1800," IEEE J. Solid-State Circuits, vol. 37, no. 7, pp. 835-844, Jul. 2002.
9. B. H. Marcus and P. H. Siegel, "On codes with spectral nulls at rational submultiples of the symbol frequency," IEEE Trans. Inf. Theory, vol. IT-33, no. 4, pp. 557-568, Jul. 1987.
10. G. L. Pierobon, "Codes for zero spectral density at zero frequency," IEEE Trans. Inf. Theory, vol. IT-30, no. 2, pp. 435-439, Mar. 1984.
11. I. Galton, "Spectral shaping of circuit errors in digital-to-analog converters," IEEE Trans. Circuits Syst. II: Analog Digit. Signal Process., vol. 44, no. 10, pp. 808-817, Oct. 1997.
12. E. Fogleman and I. Galton, "A digital common-mode rejection technique for differential analog-to-digital conversion," IEEE Trans. Circuits Syst. H: Analog Digit. Signal Process., vol. 48, no. 3, pp. 255-271, Mar. 2001.
13. A. V. Oppenheim, R. W. Schafer, and J. R. Buck, Discrete-Time Signal Processing, 2nd ed. Englewood Cliffs, NJ: Prentice-Hall, 1999.
14. J. Welz, I. Galton, and E. Fogleman, "Simplified logic for first-order and second-order mismatch-shaping digital-to-analog converters," IEEE Trans. Circuits Syst. II: Analog Digit. Signal Process., vol. 48, no. 11, pp. 1014-1027, Nov. 2001.
15. J. Welz and I. Galton, "A tight signal-band power bound on mismatch noise in a mismatch shaping digital-to-analog converter," IEEE Trans. Inf. Theory, vol. 50, no. 4, pp. 593-607, Apr. 2004.
16. A. J. Magrath and M. B. Sandler, "Efficient dithering of sigma-delta modulators with adaptive bit flipping," Electron. Lett., vol. 31, no. 11, pp. 846-847, May 1995.
17. S. H. Yu, "Noise-shaping coding through bounding the frequency-weighted reconstruction error," IEEE Trans. Circuits Syst. II: Expr. Briefs vol. 53, no. 1, pp. 67-71, Jan. 2006.
18. D. E. Quevedo and G. C. Goodwin, "Multistep optimal analog-to-digital conversion," IEEE Trans. Circuits and Systems I: Regular Papers, vol. 52, no. 3, pp. 503-515, Mar. 2005.
19. I. Daubechies and R. DeVore, "Approximating a bandlimited function using very coarsely quantized data: A family of stable sigmadelta modulators of arbitrary order," Ann. Math., vol. 158, no. 2, pp. 679-710, 2003.
20. A. Papoulis and S. Unnikrishna Pillai, Probability, Random Variables and Stochastic Processes. New York: McGraw-Hill, 2002.
21. R. A. Horn and C. A. Johnson, Matrix Analysis. Cambridge, U.K.: Cambridge Univ. Press, 1985.
22. R. M. Gray and T. G. Stockham, Jr., "Dithered quantizers," IEEE Trans. Inf. Theory, vol. 39, no. 3, pp. 805-812, May 1993.
23. A. Swaminathan, K. J. Wang, and I. Galton, "A wide-bandwidth 2.4GHz ISM-band fractional-N PLL with adaptive phase-noise cancellation," in IEEE Int. Solid-State Circuits Conf. (ISSCC) Dig. Tech. Papers, San Francisco, CA, Feb. 2007, pp. 302-303, 604.