Bayesian parameter estimation using single-bit dithered quantization

IEEE Transactions on Signal Processing

Volumn 60, Issue 6, 2012, Pages 2713-2726

  Zeitler, Georg ^a   Kramer, Gerhard ^a   Singer, Andrew C ^b  

^a TECHNICAL UNIVERSITY OF MUNICH   (Germany)

^b University of Illinois at Urbana Champaign   (United States)

Author keywords

Channel estimation; Parameter estimation; Quantization

Indexed keywords

ADAPTIVE PROCESSING; BAYESIAN PARAMETER ESTIMATION; CONTINUOUS OBSERVATION; LOWER BOUNDS; MEAN SQUARED ERROR; MINIMUM MEAN SQUARED ERROR ESTIMATORS; OUTPUT SEQUENCES; QUANTIZATION; QUANTIZERS; SEQUENCE LENGTHS; SINGLE-BIT;

ELECTRONICS ENGINEERING; PARAMETER ESTIMATION; SIGNAL PROCESSING;

CHANNEL ESTIMATION;

EID: 84861150617     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2012.2190731     Document Type: Article

References (26)

1. R. H.Walden, "Analog-to-digital converter survey and analysis," IEEE J. Sel. Areas Commun., vol. 17, no. 4, pp. 539-550, Apr. 1999.
2. B. Le, T.W. Rondeau, J. H. Reed, and C.W. Bostian, "Analog-to- digital converters," IEEE Signal Process. Mag., vol. 22, no. 6, pp. 69-77, Nov. 2005.
3. B. Murmann, "A/D converter trends: Power dissipation, scaling and digitally assisted architectures," in Proc. IEEE Custom Integr. Circuits Conf., 2008, pp. 105-112.
4. H.-M. Bae, J. B. Ashbrook, J. Park, N. R. Shanbhag, A. C. Singer, and S. Chopra, "An MLSE receiver for electronic dispersion compensation of OC-192 fiber links," IEEE J. Solid-State Circuits, vol. 41, no. 11, pp. 2541-2554, Nov. 2006.
5. O. Agazzi, D. Crivelli, M. Hueda, H. Carrer, G. Luna, A. Nazemi, C. Grace, B. Kobeissy, C. Abidin, M. Kazemi, M. Kargar, C. Marquez, S. Ramprasad, F. Bollo, V. Posse, S. Wang, G. Asmanis, G. Eaton, N. Swenson, T. Lindsay, and P. Voois, "A 90 nm CMOS DSP MLSD transceiverwith integrated AFE for electronic dispersion compensation of multimode optical fibers at 10 Gb/s," in Proc. IEEE ISSCC, 2008, pp. 232-609.
6. M. Harwood, N. Warke, R. Simpson, T. Leslie, A. Amerasekera, S. Batty, D. Colman, E. Carr, V. Gopinathan, S. Hubbins, P. Hunt, A. Joy, P. Khandelwal, B. Killips, T. Krause, S. Lytollis, A. Pickering,M. Saxton, D. Sebastio, G. Swanson, A. Szczepanek, T.Ward, J.Williams, R. Williams, and T. Willwerth, "A 12.5 Gb/s SerDes in 65 nm CMOS using a baud-rate ADC with digital receiver equalization and clock recovery," in Proc. IEEE ISSCC, 2007, pp. 436-437.
7. J. Singh,O. Dabeer, andU. Madhow, "On the limits of communication with low-precision analog-to-digital conversion at the receiver," IEEE Trans. Commun., vol. 57, no. 12, pp. 3629-3639, Dec. 2009.
8. G. Zeitler, A. C. Singer, and G. Kramer, "Low-precision A/D conversion for maximum information rate in channels with memory," in Proc. IEEE Int. Symp. Inf. Theory, 2011, pp. 2602-2606.
9. M. Lu, N. Shanbhag, and A. Singer, "BER-optimal analog-to-digital converters for communication links," in Proc. IEEE Int. Symp. Circuits Syst. (ISCAS), 2010, pp. 1029-1032.
10. A. Singer, A. Bean, and J. W. Choi, "Mutual information and timeinterleaved analog-to-digital conversion," in Proc. ITA, 2010, pp. 1-5.
11. J. Elbornsson, F. Gustafsson, and J.-E. Eklund, "Blind equalization of time errors in a time-interleaved ADC system," IEEE Trans. Signal Process., vol. 53, no. 4, pp. 1413-1424, Apr. 2005.
12. C. Vogel and H. Johansson, "Time-interleaved analog-to-digital converters: Status and future directions," in Proc. IEEE Int. Symp. Circuits Syst. (ISCAS), 2006, pp. 3386-3389.
13. H. P. Papadopoulos, G. W. Wornell, and A. V. Oppenheim, "Sequential signal encoding from noisy measurements using quantizers with dynamic bias control," IEEE Trans. Inf. Theory, vol. 47, no. 3, pp. 978-1002, Mar. 2001.
14. O. Dabeer and U. Madhow, "Channel estimation with low-precision analog-to-digital conversion," in Proc. IEEE Int. Conf. Comm., 2010, pp. 1-6.
15. O. Dabeer and A. Karnik, "Signal parameter estimation using 1-bit dithered quantization," IEEE Trans. Inf. Theory, vol. 52, no. 12, pp. 5389-5405, Dec. 2006.
16. G. O. Balkan and S. Gezici, "CRLB-based optimal noise enhanced parameter estimation using quantized observations," IEEE Signal Process. Lett., vol. 17, no. 5, pp. 477-480, May 2010.
17. H. Cramér, Mathematical Methods of Statistics. Princeton, NJ: Princeton Univ. Press, 1946.
18. C. R. Rao, "Information and accuracy attainable in the estimation of statistical parameters," Bull. Calcutta Math. Soc., vol. 37, pp. 81-91, 1945.
19. H. L. V. Trees, Detection, Estimation and Modulation Theory-Part I. New York: Wiley, 1968.
20. H. V. Poor, An Introduction to Signal Detection and Estimation. New York: Springer, 1994.
21. A. J. Viterbi and J. K. Omura, Principles of Digital Communication and Coding. New York: McGraw-Hill, 1979.
22. T. Koch and A. Lapidoth, "Asymmetric quantizers are better at low SNR," in Proc. IEEE Int. Symp. Inf. Theory, 2011, pp. 2697-2701.
23. S. Boyd and L. Vandenberghe, Convex Optimization. Cambridge, U.K.: Cambridge Univ. Press, 2004.
24. J. D. Williams, "An approximation to the probability integral," Ann. Math. Statist., vol. 17, no. 3, pp. 363-365, 1946.
25. G. Pólya, "Remarks on computing the probability integral in one and two dimensions," in Proc. Berkeley Symp. Math. Statist. Probabil., 1949, pp. 63-78.
26. J. T. Chu, "On bounds for the normal integral," Biometrika, vol. 42, no. 1/2, pp. 263-265, Jun. 1955.