A New Class of Lower Bounds to Information Rates of Stationary Sources via Conditional Rate-Distortion Functions

IEEE Transactions on Information Theory

Volumn 19, Issue 4, 1973, Pages 480-489

  Gray, Robert M ^a  

^a STANFORD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

RATE-DISTORTION FUNCTIONS;

INFORMATION THEORY;

EID: 0015648450     PISSN: 00189448     EISSN: 15579654     Source Type: Journal    
DOI: 10.1109/TIT.1973.1055050     Document Type: Article

References (16)

1. R. G. Gallager, Information Theory and Reliable Communication. New York: Wiley, 1968.
2. T. Berger, Rate Distortion Theory. Englewood Cliffs, N.J.: Prentice-Hall, 1971.
3. C. E. Shannon, “Coding theorems for a discrete source with a fidelity criterion,” in 1959. IRE Nat. Conv. Rec., pt. 4, pp. 142–163
4. F. Jelinek, “Evaluation of distortion-rate functions for low distortions,” Proc. IEEE (Lett.), vol. 55, pp. 2067–2068, Nov. 1967.
5. R. M. Gray and A. D. Wyner, “Source coding for simple networks,” to be submitted to Bell Syst. Tech. J.
6. T. Berger, “Information rates of Wiener process,” IEEE Trans. Inform. Theory, vol. IT-16, pp. 134–139, Mar. 1970.
7. R. M. Gray, “Information rates of autoregressive processes,” IEEE Trans. Inform. Theory, vol. IT-16, pp. 412–421, July 1970.
8. —, “Rate-distortion functions for finite-state finite-alphabet Markov sources,” IEEE Trans. Inform. Theory, vol. IT-17, pp. 127–134, Mar. 1971.
9. —, “Information rates of stationary ergodic finite-alphabet sources,” IEEE Trans. Inform. Theory, vol. IT-17, pp. 516–523, Sept. 1971.
10. A. D. Wyner and J. Ziv, “Bounds on the rate-distortion function for stationary sources with memory,” ibid., pp. 508–513.
11. A. N. Kolmogorov, “On the Shannon theory of information transmission in the case of continuous signals,” Trans. IRE, vol. IT-2, pp. 102–108.
12. B. M. Leiner, Ph.D. dissertation (in preparation), Dep. Elec. Eng., Stanford University. Stanford, Calif.
13. R. Blahut, “Computation of channel capacity and rate-distortion functions,” IEEE Trans. Inform. Theory, vol. IT-18, pp. 460–473, July 1972.
14. R. M. Gray, “Conditional rate-distortion theory,” Stanford Electron. Lab., Stanford, Calif., Tech. Rep. 6502-2, Oct. 1972.
15. T. J. Goblick, Jr., “Coding for a discrete information source with a distortion measure,” Ph.D. dissertation, Dep. Elec. Eng., M.I.T., Cambridge, Mass., 1962.
16. R. M. Gray, “Correction to ‘Information rates of stationary ergodic sources’,” submitted to IEEE Trans. Inform. Theory.