2021
DOI: 10.1109/tcsii.2021.3074925
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Multivaluedness in Networks: Shannon’s Noisy-Channel Coding Theorem

Abstract: 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.

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Cited by 10 publications
(4 citation statements)
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“…The fact that noise attenuates signal resolution and the capacity of digital communication channels (e.g., Diggavi and Cover, 2001;van Wyk et al, 2021) is well known since Shannon's (1949) brains (Manwani and Koch, 1999;Deco et al, 2009;Ferguson and Cardin, 2020) of the human information senders and receivers. It is, therefore, important to consider mechanisms that regulate neural information processing fidelity and how they may change during brain development and aging, since the new TI and related technologies envision to support broad populations of users.…”
Section: Noise In Digital Communication and Neuronal Gain Control Of ...mentioning
confidence: 99%
“…The fact that noise attenuates signal resolution and the capacity of digital communication channels (e.g., Diggavi and Cover, 2001;van Wyk et al, 2021) is well known since Shannon's (1949) brains (Manwani and Koch, 1999;Deco et al, 2009;Ferguson and Cardin, 2020) of the human information senders and receivers. It is, therefore, important to consider mechanisms that regulate neural information processing fidelity and how they may change during brain development and aging, since the new TI and related technologies envision to support broad populations of users.…”
Section: Noise In Digital Communication and Neuronal Gain Control Of ...mentioning
confidence: 99%
“…real system that operates the TPSS with three substations and two trains in real-time (with 50 us steps) and communicates with HC via the Ethernet. Additionally, the EFS controller prototype utilizes FPGA/IO (with 1us steps), following the principles of the Shannon sampling theory [42]. The system parameters of the simulation platform are shown in Table 3.…”
Section: Design Of Simulation Platform and System Parametermentioning
confidence: 99%
“…In essence, spectral efficiency, a complex and challenging issue, is one of the most crucial factors in increasing data rates. Shannon's theorem [12][13][14][15][16] states that channel capacity is directly proportional to channel bandwidth. To this end, the carrier aggregation technique [17][18][19][20][21][22] has been extensively used in modern mobile communication networks and Wi-Fi networks.…”
Section: Introductionmentioning
confidence: 99%