94Axx Communication and information theory
This subtopic introduces the core ideas in communication and information theory, including foundational concepts, standard methods, and the main questions used to organize the area. Typical uses include building mathematical background, framing related research problems, and supporting applications in neighboring fields where these concepts provide useful structure.
Specific topics
94A05 Communication theory
Overview
This specific topic studies communication theory within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Communication theory
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
94A08 Image processing (compression, reconstruction, etc.) in information and communication theory
Overview
This specific topic studies image processing (compression, reconstruction, etc.) in information and communication theory within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Image processing (compression, reconstruction, etc.) in information and communication theory
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
94A11 Application of orthogonal and other special functions in communication theory
Overview
This specific topic studies application of orthogonal and other special functions in communication theory within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Application of orthogonal and other special functions in communication theory
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
94A12 Signal theory (characterization, reconstruction, filtering, etc.)
Overview
This specific topic studies signal theory (characterization, reconstruction, filtering, etc.) within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Signal theory (characterization, reconstruction, filtering, etc.)
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
94A13 Detection theory in information and communication theory
Overview
This specific topic studies detection theory in information and communication theory within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Detection theory in information and communication theory
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
94A14 Modulation and demodulation in information and communication theory
Overview
This specific topic studies modulation and demodulation in information and communication theory within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Modulation and demodulation in information and communication theory
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
94A15 Information theory (general)
Overview
This specific topic studies information theory (general) within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Information theory (general)
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
94A17 Measures of information, entropy
Overview
This specific topic studies measures of information, entropy within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Measures of information, entropy
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
94A20 Sampling theory
Overview
This specific topic studies sampling theory within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Sampling theory
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
94A22 Communication protocols
Overview
This specific topic studies communication protocols within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Communication protocols
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
94A24 Coding theorems (Shannon theory)
Overview
This specific topic studies coding theorems (shannon theory) within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Coding theorems (Shannon theory)
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
94A29 Source coding
Overview
This specific topic studies source coding within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Source coding
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
94A34 Rate-distortion theory in information and communication theory
Overview
This specific topic studies rate-distortion theory in information and communication theory within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Rate-distortion theory in information and communication theory
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
94A35 Cryptography
Overview
This specific topic studies cryptography within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Cryptography
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
94A40 Channel models (including quantum) in information and communication theory
Overview
This specific topic studies channel models (including quantum) in information and communication theory within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Channel models (including quantum) in information and communication theory
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
94A45 Prefix codes and related combinatorial problems in information and communication theory
Overview
This specific topic studies prefix codes and related combinatorial problems in information and communication theory within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Prefix codes and related combinatorial problems in information and communication theory
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
94A50 Theory of questionnaires
Overview
This specific topic studies theory of questionnaires within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Theory of questionnaires
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
94A55 Shift register sequences and sequences over finite alphabets in information and communication theory
Overview
This specific topic studies shift register sequences and sequences over finite alphabets in information and communication theory within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Shift register sequences and sequences over finite alphabets in information and communication theory
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
94A60 Cryptography
Overview
This specific topic studies cryptography within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Cryptography
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
94A62 Authentication, digital signatures and secret sharing
Overview
This specific topic studies authentication, digital signatures and secret sharing within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Authentication, digital signatures and secret sharing
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks