Deterministic Analysis of Oversampled A/D Conversion and Decoding Improvement Based on Consistent Estimates

IEEE Transactions on Signal Processing

Volumn 42, Issue 3, 1994, Pages 519-531

  Thao, Nguyen T ^a   Vetterli, Martin ^b  

^a HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANALOG TO DIGITAL CONVERSION; DECODING; DEMODULATION; SIGNAL FILTERING AND PREDICTION;

MEAN SQUARE ERRORS; OVERSAMPLING; QUANTIZED SIGNALS;

DIGITAL SIGNAL PROCESSING;

EID: 0028386320     PISSN: 1053587X     EISSN: 19410476     Source Type: Journal    
DOI: 10.1109/78.277844     Document Type: Article

References (22)

1. R. M. Gray, “Quantization noise spectra,” IEEE Trans. Inform. Theory, vol. 36, pp. 1220–1244, Nov. 1990.
2. N. T. Thao and M. Vetterli, “Reduction of the MSE in R-times oversampled A/D conversion from Q(1/R) to Q(1/R2),” IEEE Trans. Signal Processing, vol. 42, no. 1, pp. 200–203, Jan. 1994.
3. S. K. Tewksbury and R. W. Hallock, “Oversampled, linear predictive and noise shaping coders of order N #x003E; 1,” IEEE Trans. Circuits Syst., vol. CAS-25, pp. 436–447, July 1978.
4. N. T. Thao and M. Vetterli, “Optimal MSE signal reconstruction in oversampled A/D conversion using convexity,” in Proc. IEEE Int. Conf. ASSP, Mar. 1992, pp. 165–168, vol. IV.
5. N. E. Hurt, Phase Retrieval and Zero Crossings. Boston: Kluwer, 1989.
6. A. Zakhor, “Reconstruction of multidimensional signals from multiple level threshold crossings,” Ph.D. Dissertation, Dept. of Elect. Eng., Mass. Inst. Technol., 1987.
7. N. T. Thao and M. Vetterli, “Oversampled A/D conversion using alternate projections,” in Proc. Conf. Inform. Sci. Syst., (Johns Hopkins University), Mar. 1991, pp. 241–248.
8. S. Hein and A. Zakhor, “Reconstruction of oversampled band-limited signals from ΣΔ encoded binary sequences,” in Proc. 25th Asilomar Conf. Signals Syst., (Pacific Grove, CA), Nov. 1991, pp. 866–872.
9. N. T. Thao and M. Vetterli, “Convex coders and oversampled A/D conversion: Theory and algorithms,” Tech. Rep. CTR, Columbia Univ., Dec. 1991.
10. S. Hein and A. Zakhor, “Reconstruction of oversampled band-limited signals from EA encoded binary sequences,” IEEE Trans. Signal Processing, to be published.
11. T. T. Nguyen, “Deterministic analysis of oversampled A/D conversion and ΣΔ modulation, and decoding improvements using consistent estimates,” Ph.D. dissertation, Dept. of Elect. Eng., Columbia Univ., Feb. 1993.
12. S. Hein and A. Zakhor, “Theoretical and numerical aspects of an SVD-based method for band-limiting finite extent sequences,” IEEE Trans. Signal Processing, to be published.
13. D. G. Luenberger, Optimization by Vector Space Methods. New York: Wiley, 1969.
14. L. M. Bregman, “The method of successive projection for finding a common point of convex sets,” Soviet Math. Doklady, vol. 6, no. 3, pp. 688–692, May 1965.
15. D. C. Youla and H. Webb, “Image restoration by the method of convex projections: Part 1-Theory,” IEEE Trans. Medical Imaging, vol. 1, no. 2, pp. 81–94, Oct. 1982.
16. A. Gersho and R. M. Gray, Vector Quantization and Signal Compression. Boston: Kluwer, 1992.
17. H. Inose and Y. Yasuda, “A unity bit coding method by negative feedback,” Proc. IEEE, pp. 1524–1533, Nov. 1963.
18. J. C. Candy, “A use of limit cycle oscillations to obtain robust analog-to-digital converters,” IEEE Trans. Commun., vol. COM-22, pp. 298–305, Mar. 1974.
19. G. R. Ritchie, “Higher order interpolation analog to digital converters,” Ph.D. dissertation, Univ. of Penna., 1977.
20. J. C. Candy, “A use of double integration in sigma-delta modulation,” IEEE Trans. Commun., vol. COM-33, pp. 249–258, Mar. 1985.
21. I. Ekeland and R. Teman, Convex Analysis and Variational Problems. Amsterdam: North-Holland, 1976.
22. D. G. Luenberger, Linear and Nonlinear Programming. New York: Wiley, 1984.