Journal
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
Volume 68, Issue 10, Pages 3234-3235Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCSII.2021.3074925
Keywords
Channel coding; Noise measurement; Reliability theory; Error probability; Entropy; Signal to noise ratio; Urban areas; Counter-cascaded systems; immanence; multivaluedness; Shannon's noisy-channel coding theorem; transcendence
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Funding
- Key-Area Research and Development Program of Guangdong Province, China [2019B010157002]
- 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 [ITS/359/17]
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A necessary and sufficient condition for multivaluedness in counter-cascaded systems has been recently presented, leading to reports of several systems exhibiting this property. This brief interprets a general information transmission system as a counter-cascaded system using Shannon's noisy-channel coding theorem, providing a sufficient but not necessary condition for single-valuedness.
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 a sufficient but not necessary condition for single-valuedness.
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