Error exponents for variable-length block codes with feedback and cost constraints

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2008-03-01

Author

Nakiboğlu, Barış

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Variable-length block-coding schemes are investigated for discrete memoryless channels with ideal feedback under cost constraints. Upper and lower bounds are found for the minimum achievable probability of decoding error P-e,P-min as a function of constraints R, P, and T on the transmission rate, average cost, and average block length, respectively. For given R and P, the lower and upper bounds to the exponent -(In P-e,P-min)/(T) over bar are asymptotically equal as (T) over bar -> infinity. The resulting reliability function, lim((T) over bar ->infinity) (- In P-e,P-min)/(T) over bar, as a function of R and P, is concave in the pair (R,P) and generalizes the linear reliability function of Burnashev to include cost constraints. The results are generalized to a class of discrete-time memoryless channels with arbitrary alphabets, including additive Gaussian noise channels with amplitude and power constraints.

Subject Keywords

Library and Information Sciences, Information Systems, Computer Science Applications

URI

https://hdl.handle.net/11511/57705

Journal

IEEE TRANSACTIONS ON INFORMATION THEORY

DOI

https://doi.org/10.1109/tit.2007.915913

Collections

Department of Electrical and Electronics Engineering, Article

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Citation Formats

B. Nakiboğlu, “Error exponents for variable-length block codes with feedback and cost constraints,” IEEE TRANSACTIONS ON INFORMATION THEORY, pp. 945–963, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/57705.