Upper bounds to error probability with feedback

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2010-01-22

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Nakiboğlu, Barış

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A new analysis technique is suggested for bounding the error probability of fixed length block codes with feedback on discrete memoryless channels from above. Error analysis is inspired by Gal lager's error analysis for block codes without feedback. Using Burnashev-Zigangirov-D'yachkov encoding scheme analysis recovers previously known best results on binary symmetric channels and improves up on the previously known best results on k-ary symmetric channels and binary input channels.

Subject Keywords

Upper bound, Error probability , Feedback, Block codes, Error analysis, Monte Carlo methods, Computer science, Memoryless systems, Maximum likelihood decoding, Pressing

URI

https://hdl.handle.net/11511/44537

DOI

https://doi.org/10.1109/allerton.2009.5394953

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Department of Electrical and Electronics Engineering, Conference / Seminar

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Upper Bounds to Error Probability with Feedback Nakiboğlu, Barış (2009-08-18) A new technique is proposed for upper bounding the error probability of fixed length block codes with feedback. Error analysis is inspired by Gal lager's error analysis for block codes without feedback. Zigangirov-D'yachkov (Z-D) encoding scheme is analyzed with the technique on binary input channels and k-ary symmetric channels. A strict improvement is obtained for k-ary symmetric channels.
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Bit-wise Unequal Error Protection for Variable Length Blockcodes with Feedback Gorantla, Siva K; Nakiboğlu, Barış; Coleman, Todd P; Zheng, Lizhong (2010-07-23) Bit-wise unequal error protection problem with two layers is considered for variable length block-codes with feedback. Inner and outer bounds are derived for achievable performance for finite expected decoding time. These bounds completely characterize the error exponent of the special bits as a function of overall rate R, overall error exponent E and the rate of the special bits R-s. Single message Message-wise unequal protection problem is also solved as a step on the way.
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Citation Formats

B. Nakiboğlu, “Upper bounds to error probability with feedback,” 2010, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/44537.