Sending a lossy version of the innovations process is suboptimal in QG rate-distortion

IEEE International Symposium on Information Theory - Proceedings

Volumn 2005, Issue , 2005, Pages 209-213

  Kim, Kwang Talk ^a   Berger, Toby ^a  

^a School of Operations Research and Industrial Engineering   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

GAUSSIAN SOURCE; LOSSY VERSION; POSITIVE RATE;

ENCODING (SYMBOLS); INFORMATION THEORY; OPTIMAL CONTROL SYSTEMS; TIME VARYING NETWORKS;

GAUSSIAN NOISE (ELECTRONIC);

EID: 33749447537     PISSN: 21578099     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ISIT.2005.1523324     Document Type: Conference Paper

References (19)

1. T. Berger, "Information rates of Wiener processes," IEEE Trans. Information Theory, vol. IT-16, pp. 134-138, March 1970
2. T. Berger, Rate Distortion Theory: A Mathematical Basis for Data Compression. Englewood Cliffs, N.J.: Prentice-Hall, 1971
3. T. Berger, J. Gibson, "Lossy Source Coding," IEEE Trans. Information Theory, vol. IT-44, No. 6, pp. 2693-2723, October 1998
4. T. M. Cover and J.A. Thomas, Elements of Information Theory. New York: Wiley, 1991
5. R. M. Fano, Transmission of Information, New York: Wiley, 1961
6. R. G. Gallager, Information Theory and Reliable Communication. New York: Wiley, 1968
7. R. M. Gray, "Information rates of autoregressive processes," Ph.D. dissetation, Elec. Eng., Univ. South. Calif., Los Angeles, CA, 1969
8. R. M. Gray, "Information rates of autoregressive processes," IEEE Trans. Information Theory, vol. IT-16, pp. 412-421, July 1970
9. R. M. Gray, "On the Asymptotic Eigenvalue Distribution of Toeplitz Matrices," IEEE Trans. Information Theory, vol. IT-18, pp. 725-730, November 1972
10. R. M. Gray, "A New Class of Lower Bounds to Information Rates of Stationary Sources via Conditional Rate-Distortion Functions," IEEE Trans. Information Theory, vol. IT-19, No. 4, pp. 480-489, July 1973
11. U. Grenander and G. Szego, Toeplitz Forms and Their Applications. University of California Press, Berkeley and Los Angeles, California, 1958
12. P. R. Halmos, Introduction to Hilbert Space, Chelsea, New York, 1951
13. B. M. Leiner, "Rate-distortion Theory for Sources with Side Information," Ph.D. dissertaion, Stanford University, Stanford, California, august, 1973
14. B. M. Leiner and R. M. Gray, "Rate-Distortion Theory for Ergodic Sources with Side Information," IEEE Trans. Information Theory, vol. IT-20, No. 5, pp. 672-675, September 1974
15. B. McMillan, "The Basic Theorems of Information Theory," Ann. Math. Stat., Vol. 24, 196-219, 1953
16. C. E. Shannon and W. Weaver, "The Mathematical Theory of Communication," Bell System Technology Journal, vol. 27, 379-423, 623-656, 1948. (Also in book from with postscript by W. Weaver, University of Illinois Press, Urbana, Ill., 1949.)
17. C. E. Shannon, "Coding Theorems for a Discrete Source with a Fidelity Criterion," IRE Nat'l. Com. Rec., part 4, pp. 142-163, 1959.
18. (Also in Information and Decision Processes. R. E. Machol, ed. McGraw-Hill, Inc., New York, 1960, 93-126.)
19. A. D. Wyner and J. Ziv, "Bounds on the Rate-distortion Function for Stationary Sources with Memory," IEEE Trans. Information Theory, vol. IT-17, No. 5, pp. 508 - 513, September 1971