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Published July 2019 | public
Book Section - Chapter

Real-time Binary Posterior Matching

Abstract

We consider the problem of communications over the binary symmetric channel with feedback, where the information sequence is made available in a causal, possibly random, fashion. We develop a real-time variant of the renowned Horstein scheme and provide analytical guarantees for its error-probability exponential decay rate. We further use the scheme to stabilize an unstable control plant over a binary symmetric channel and compare the analytical guarantees with its empirical performance as well as with those of anytime-reliable codes.

Additional Information

© 2019 IEEE. The work of A. Lalitha and T. Javidi was supported in part by the National Science Foundation (NSF) under Grant CIF-1719133, CIF-1513883 and CIF 1448237. This work has received funding from the European Union's Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No 708932. The work of V. Kostina was supported in part by the NSF under Grant CCF-1566567 and Grant CCF-1751356. This work was done in part while A. Khina and V. Kostina were visiting the Simons Institute for the Theory of Computing.

Additional details

Created:
August 19, 2023
Modified:
October 18, 2023