论文信息 - Notes on Conditions for Successive Refinement of Information

Notes on Conditions for Successive Refinement of Information

The successive refinement of information (or source divisibility) under error exponent or reliability constraint is discussed. By rehabilitating Maroutian's result on multiple descriptions [13], we refine our previous proof on successive refinability conditions reported in [7] and restate the result by Tuncel and Rose [17]. In particular, it is noted that the successive refinement in “purely” reliability sense is always possible.

Ashot N. Harutyunyan

[1] Thomas M. Cover,et al. Elements of Information Theory , 2005 .

[2] Rudolf Ahlswede,et al. The rate-distortion region for multiple descriptions without excess rate , 1985, IEEE Trans. Inf. Theory.

[3] Toby Berger,et al. Rate distortion theory : a mathematical basis for data compression , 1971 .

[4] Imre Csiszár,et al. Information Theory - Coding Theorems for Discrete Memoryless Systems, Second Edition , 2011 .

[5] Kenneth Rose,et al. Error exponents in scalable source coding , 2003, IEEE Trans. Inf. Theory.

[6] Prakash Narayan,et al. Error exponents for successive refinement by partitioning , 1996, IEEE Trans. Inf. Theory.

[7] Ashot N. Harutyunyan,et al. On rate-reliability-distortion function for a robust descriptions system , 2000, IEEE Trans. Inf. Theory.

[8] William Equitz,et al. Successive refinement of information , 1991, IEEE Trans. Inf. Theory.

[9] Evgueni Haroutunian,et al. Successive refinement of information with reliability criterion , 2000, 2000 IEEE International Symposium on Information Theory (Cat. No.00CH37060).

[10] Katalin Marton,et al. Error exponent for source coding with a fidelity criterion , 1974, IEEE Trans. Inf. Theory.

[11] Bixio Rimoldi,et al. Successive refinement of information: characterization of the achievable rates , 1994, IEEE Trans. Inf. Theory.