The Mathematical Theory of Semantic Communication

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dc.alternateIdentifier9789819651320
dc.alternateIdentifier9789819651313
dc.alternateIdentifier10.1007/978-981-96-5132-0
dc.creatorNiu, Kai
dc.creatorZhang, Ping
dc.date2025-06-13T09:21:28Z
dc.date2025-06-13T09:21:28Z
dc.date2025
dc.date.accessioned2026-07-25T15:11:25Z
dc.descriptionThis Open Access Book explores how classical information theory’s focus on syntactic information has limited the further development of communication science. Recently, communication technologies that handle and transmit semantic information have gained widespread attention in academia. Semantic communication has paved new directions for the future of communication technology development, yet it lacks a general mathematical guiding theory. To address this challenge, this open access book constructs a theoretical framework for semantic information theory and provides a systematic exposition of the measurement system for semantic information and the theoretical limits of semantic communication. It serves as a professional reference for researchers in information and communication. The book begins by deeply analyzing the data characteristics of various information sources and the needs of downstream tasks to summarize and generalize the universal attribute of semantic information—synonymity and to define the synonymous mapping between semantic information and syntactic information. Stemming from this core concept, synonymous mapping, this book introduces the measures of semantic information. It then introduces a new mathematical tool, Synonymous Asymptotic Equipartition (AEP), to explore the mathematical properties of synonymous typical sequences and applies random coding and synonymous typical sequence decoding/encoding to prove the semantic lossless source coding theorem, semantic channel coding theorem, and semantic limited distortion source coding theorem. In addition, the semantic information measures in the continuous caseare discussed and a new channel capacity formulaof the band-limited Gaussian channelis obtained, which is an important extension of the classical channel capacity. The book is a valuable resource for researchers, academics, and professionals in the field of information and communication, particularly those interested in advancing the frontiers of semantic communication technology.
dc.formatapplication/pdf
dc.fundingReference
dc.grantnumber[...]
dc.identifierONIX_20250613T105552_9789819651320_40
dc.identifierhttps://library.oapen.org/handle/20.500.12657/103596
dc.identifierhttps://link.springer.com/978-981-96-5132-0
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/31786
dc.identifierdoi10.1007/978-981-96-5132-0
dc.imprintSpringer Nature Singapore
dc.languageeng
dc.licenseConditionn/a
dc.pages115
dc.placepublicationSingapore
dc.publisherSpringer Nature
dc.publisherSpringer Nature Singapore
dc.relationSpringerBriefs in Computer Science
dc.relationisFundedBy219cc0eb-31a9-46a1-a50f-c2d756c7fec1
dc.relationisPublishedBy6c6992af-b843-4f46-859c-f6e9998e40d5
dc.relationisbn9789819651320
dc.relationisbn9789819651313
dc.resourceTypebook
dc.rightsinfo:eu-repo/semantics/openAccess
dc.source9789819651320.pdf
dc.subjectSemantic Information Theory
dc.subjectCommunication Technology
dc.subjectTheoretical Frameworks
dc.subjectSemantic Communication
dc.subjectInformation Measurement
dc.subjectthema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general::GPJ Coding theory and cryptology
dc.subjectthema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general::GPF Information theory
dc.subjectthema EDItEUR::U Computing and Information Technology::UK Computer hardware::UKN Network hardware
dc.subjectthema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TJ Electronics and communications engineering::TJK Communications engineering / telecommunications
dc.titleThe Mathematical Theory of Semantic Communication

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