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Multivaluedness in Networks: Shannon’s Noisy-Channel Coding Theorem

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posted on 2022-06-22, 18:29 authored by Anton van WykAnton van Wyk, Ping Li, Guanrong Chen

Recently, a necessary and sufficient condition for multivaluedness to be implicitly exhibited by counter-cascaded systems was presented. Subsequently, several systems that exhibit multivaluedness were reported. This brief interprets a general information transmission system as a counter-cascaded system with Shannon’s noisy-channel coding theorem providing the necessary and sufficient conditions for multivaluedness and is therefore a particular instance of the counter-cascaded network framework.


Key-Area Research and Development Program of Guangdong Province, China, under Grant 2019B010157002

The Carl and Emily Fuchs Foundation’s Chair in Systems and Control Engineering, University of the Witwatersrand, Johannesburg, South Africa

Innovation and Technology Funding of the Hong Kong Special Administrative Region, China, under Grant ITS/359/17


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University of the Witwatersrand, Johannesburg, South Africa and City University of Hong Kong, Hong Kong SAR, China.

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  • South Africa