The Mathematical Theory of Semantic Communication
This 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 com...
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| Principais autores: | , |
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| Formato: | Online |
| Idioma: | inglês |
| Publicado em: |
Springer Nature
2025
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| Assuntos: | |
| Acesso em linha: | ONIX_20250613T105552_9789819651320_40 |
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| _version_ | 1869526370674016256 |
|---|---|
| author | Niu, Kai Zhang, Ping |
| author_browse | Niu, Kai Zhang, Ping |
| author_facet | Niu, Kai Zhang, Ping |
| author_sort | Niu, Kai |
| collection | Directory of Open Access Books |
| description | This 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. |
| format | Online |
| id | doab-20.500.12854ir-161325 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2025 |
| publishDateRange | 2025 |
| publishDateSort | 2025 |
| publisher | Springer Nature |
| publisherStr | Springer Nature |
| record_format | ojs |
| spelling | doab-20.500.12854ir-1613252025-06-14T05:01:26Z The Mathematical Theory of Semantic Communication Niu, Kai Zhang, Ping Semantic Information Theory Communication Technology Theoretical Frameworks Semantic Communication Information Measurement thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general::GPJ Coding theory and cryptology thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general::GPF Information theory thema EDItEUR::U Computing and Information Technology::UK Computer hardware::UKN Network hardware thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TJ Electronics and communications engineering::TJK Communications engineering / telecommunications This 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. 2025-06-14T05:01:25Z 2025-06-14T05:01:25Z 2025-06-13T09:21:28Z 2025 book ONIX_20250613T105552_9789819651320_40 https://library.oapen.org/handle/20.500.12657/103596 9789819651320 9789819651313 https://directory.doabooks.org/handle/20.500.12854/161325 eng SpringerBriefs in Computer Science open access image/jpeg n/a https://library.oapen.org/bitstream/20.500.12657/103596/1/9789819651320.pdf Springer Nature Springer Nature Singapore 10.1007/978-981-96-5132-0 10.1007/978-981-96-5132-0 9fa3421d-f917-4153-b9ab-fc337c396b5a 9cdf5cb9-2405-4a80-ab0e-bce2dfd5e63e 219cc0eb-31a9-46a1-a50f-c2d756c7fec1 9789819651320 9789819651313 Springer Nature Singapore 115 Singapore [...] National Natural Science Foundation of China Chinese National Science Foundation 10.13039/501100001809 open access |
| spellingShingle | Semantic Information Theory Communication Technology Theoretical Frameworks Semantic Communication Information Measurement thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general::GPJ Coding theory and cryptology thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general::GPF Information theory thema EDItEUR::U Computing and Information Technology::UK Computer hardware::UKN Network hardware thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TJ Electronics and communications engineering::TJK Communications engineering / telecommunications Niu, Kai Zhang, Ping The Mathematical Theory of Semantic Communication |
| title | The Mathematical Theory of Semantic Communication |
| title_full | The Mathematical Theory of Semantic Communication |
| title_fullStr | The Mathematical Theory of Semantic Communication |
| title_full_unstemmed | The Mathematical Theory of Semantic Communication |
| title_short | The Mathematical Theory of Semantic Communication |
| title_sort | mathematical theory of semantic communication |
| topic | Semantic Information Theory Communication Technology Theoretical Frameworks Semantic Communication Information Measurement thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general::GPJ Coding theory and cryptology thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general::GPF Information theory thema EDItEUR::U Computing and Information Technology::UK Computer hardware::UKN Network hardware thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TJ Electronics and communications engineering::TJK Communications engineering / telecommunications |
| topic_facet | Semantic Information Theory Communication Technology Theoretical Frameworks Semantic Communication Information Measurement thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general::GPJ Coding theory and cryptology thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general::GPF Information theory thema EDItEUR::U Computing and Information Technology::UK Computer hardware::UKN Network hardware thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TJ Electronics and communications engineering::TJK Communications engineering / telecommunications |
| url | ONIX_20250613T105552_9789819651320_40 |
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