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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 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 case are discussed and a new channel capacity formula of the band-limited Gaussian channel is obtained, which is an important extension of the classical channel capacity.

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Detail Information

Series Title

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Call Number

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Publisher

: Springer Singapore., 2025

Collation

VIII, 115 hlm; ill., lamp.,

Language

English

ISBN/ISSN

9789819651313

Classification

NONE

Content Type

text

Media Type

computer

Carrier Type

online resource

Edition

-

Subject(s)

Communications Engineering
Networks
Computer Communication Networks
Coding and Information Theory

Specific Detail Info

This book is open access, which means that you have free and unlimited access Establishes a groundbreaking framework for semantic communication, advancing the field of information theory Provides a foundational blueprint for the development of semantic communication technologies Features contributions from esteemed scholars, ensuring authoritative insights into semantic information science

Statement of Responsibility

Kai Niu , Ping Zhang

Other Information

Cataloger

ida

Source

https://link.springer.com/book/10.1007/978-981-96-5132-0

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Digital Object Identifier (DOI)

https://doi.org/10.1007/978-981-96-5132-0

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