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The Mathematical Theory of Semantic Communication

By Kai Niu

The Mathematical Theory of Semantic Communication Computer Science

The Mathematical Theory of Semantic Communication

By Kai Niu

0 - Default Title
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 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. 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.
Product details
Binding:
Paperback
Number of Pages:
124
Release Date:
2025-06-01
Publication Date:
2025-06-01
Publisher:
Springer Nature Singapore
Languages:
Original: English
ISBN10:
981965131X
ISBN13:
9789819651313
GPSR Manufacturer Reference:
[email protected]
Weight:
201 g
Height:
155 cm
Width:
235 cm
Thickness:
8 cm
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