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dc.contributor.authorIlić, Velimiren_US
dc.contributor.authorĐorđević, Ivanen_US
dc.date.accessioned2021-07-14T11:37:49Z-
dc.date.available2021-07-14T11:37:49Z-
dc.date.issued2021-06-01-
dc.identifier.issn1099-4300-
dc.identifier.urihttp://researchrepository.mi.sanu.ac.rs/handle/123456789/4619-
dc.description.abstractThe measures of information transfer which correspond to non-additive entropies have intensively been studied in previous decades. The majority of the work includes the ones belonging to the Sharma–Mittal entropy class, such as the Rényi, the Tsallis, the Landsberg–Vedral and the Gaussian entropies. All of the considerations follow the same approach, mimicking some of the various and mutually equivalent definitions of Shannon information measures, and the information transfer is quantified by an appropriately defined measure of mutual information, while the maximal information transfer is considered as a generalized channel capacity. However, all of the previous approaches fail to satisfy at least one of the ineluctable properties which a measure of (maximal) information transfer should satisfy, leading to counterintuitive conclusions and predicting nonphysical behavior even in the case of very simple communication channels. This paper fills the gap by proposing two parameter measures named the α-q-mutual information and the α-q-capacity. In addition to standard Shannon approaches, special cases of these measures include the α-mutual information and the α-capacity, which are well established in the information theory literature as measures of additive Rényi information transfer, while the cases of the Tsallis, the Landsberg–Vedral and the Gaussian entropies can also be accessed by special choices of the parameters α and q. It is shown that, unlike the previous definition, the α-q-mutual information and the α-q-capacity satisfy the set of properties, which are stated as axioms, by which they reduce to zero in the case of totally destructive channels and to the (maximal) input Sharma–Mittal entropy in the case of perfect transmission, which is consistent with the maximum likelihood detection error. In addition, they are non-negative and less than or equal to the input and the output Sharma–Mittal entropies, in general. Thus, unlike the previous approaches, the proposed (maximal) information transfer measures do not manifest nonphysical behaviors such as sub-capacitance or super-capacitance, which could qualify them as appropriate measures of the Sharma–Mittal information transfer.en_US
dc.publisherMDPIen_US
dc.relationDevelopment of new information and communication technologies, based on advanced mathematical methods, with applications in medicine, telecommunications, power systems, protection of national heritage and educationen_US
dc.relationRepresentations of logical structures and formal languages and their application in computingen_US
dc.relation.ispartofEntropyen_US
dc.subjectGaussian entropy | Landsberg—vedral entropy | Rényi entropy | Sharma— mittal entropy | Tsallis entropy | α-channel capacity | α-mutual informationen_US
dc.titleOn the α-q-mutual information and the α-q-capacitiesen_US
dc.typeArticleen_US
dc.identifier.doi10.3390/e23060702-
dc.identifier.scopus2-s2.0-85107941523-
dc.contributor.affiliationMathematicsen_US
dc.contributor.affiliationMathematical Institute of the Serbian Academy of Sciences and Arts-
dc.relation.firstpage702-
dc.relation.issue6-
dc.relation.volume23-
dc.description.rank~M22-
item.cerifentitytypePublications-
item.grantfulltextnone-
item.openairetypeArticle-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.fulltextNo Fulltext-
crisitem.author.orcid0000-0002-4705-5856-
crisitem.project.projectURLhttp://www.mi.sanu.ac.rs/novi_sajt/research/projects/044006e.php-
crisitem.project.projectURLhttp://www.mi.sanu.ac.rs/novi_sajt/research/projects/174026e.php-
crisitem.project.fundingProgramNATIONAL HEART, LUNG, AND BLOOD INSTITUTE-
crisitem.project.fundingProgramDirectorate for Social, Behavioral & Economic Sciences-
crisitem.project.openAireinfo:eu-repo/grantAgreement/NIH/NATIONAL HEART, LUNG, AND BLOOD INSTITUTE/5R01HL044006-04-
crisitem.project.openAireinfo:eu-repo/grantAgreement/NSF/Directorate for Social, Behavioral & Economic Sciences/1740267-
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