Asymptotic Coupling and Its Applications in Information Theory

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Asymptotic Coupling and Its Applications in Information Theory

A coupling of two distributions PX and PY is a joint distribution PXY with marginal distributions equal to PX and PY . Given marginals PX and PY and a real-valued function f(PXY ) of the joint distribution PXY , what is its minimum over all couplings PXY of PX and PY ? We study the asymptotics of such coupling problems with different f ’s. These include the maximal coupling, minimum distance co...

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Special Section on Information Theory and Its Applications

Shannon theory, Source coding, Data compression, Channel coding, Coding theory, Communication theory, Coding and modulation, Transmission technology, Wireless communications, Optical communications, Detection and estimation, Stochastic processes, Sequence design and analysis, Cryptography, Information-theoretic security, Information theory in networks, Network coding, Quantum information theory...

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ژورنال

عنوان ژورنال: IEEE Transactions on Information Theory

سال: 2019

ISSN: 0018-9448,1557-9654

DOI: 10.1109/tit.2018.2857763