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Fundamentals of Signal Processing in Metric Spaces with Lattice Properties : Algebraic Approach / Andrey Popoff.

By: Popoff, Andrey [author.].
Material type: materialTypeLabelBookPublisher: London : Taylor and Francis, 2017Edition: First edition.Description: 1 online resource : text file, PDF.Content type: text Media type: computer Carrier type: online resourceISBN: 9781315104119; 1315104113; 9781351597135; 1351597132; 9781351597111; 1351597116; 9781138099388; 1138099384.Subject(s): TECHNOLOGY & ENGINEERING -- Electrical | Signal processing -- Mathematics | Metric spacesDDC classification: 621.382/2 Online resources: Taylor & Francis Distributed by publisher. Purchase or institutional license may be required for access. | Taylor & Francis Click here to view. | OCLC metadata license agreement
Contents:
Chapter 1 General Ideas of Natural Science, Signal Theory, and Information Theory -- chapter 2 Information Carrier Space Built upon Generalized Boolean Algebra with a Measure -- chapter 3 Informational Characteristics and Properties of Stochastic Processes -- chapter 4 Signal Spaces with Lattice Properties -- chapter 5 Communication Channel Capacity -- chapter 6 Quality Indices of Signal Processing in Metric Spaces with L-group Properties -- chapter 7 Synthesis and Analysis of Signal Processing Algorithms.
Scope and content: "Exploring the interrelation between information theory and signal processing theory, the book contains a new algebraic approach to signal processing theory. Readers will learn this new approach to constructing the unified mathematical fundamentals of both information theory and signal processing theory in addition to new methods of evaluating quality indices of signal processing. The book discusses the methodology of synthesis and analysis of signal processing algorithms providing qualitative increase of signal processing efficiency under parametric and nonparametric prior uncertainty conditions. Examples are included throughout the book to further emphasize new material."--Provided by publisher.
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"Exploring the interrelation between information theory and signal processing theory, the book contains a new algebraic approach to signal processing theory. Readers will learn this new approach to constructing the unified mathematical fundamentals of both information theory and signal processing theory in addition to new methods of evaluating quality indices of signal processing. The book discusses the methodology of synthesis and analysis of signal processing algorithms providing qualitative increase of signal processing efficiency under parametric and nonparametric prior uncertainty conditions. Examples are included throughout the book to further emphasize new material."--Provided by publisher.

Chapter 1 General Ideas of Natural Science, Signal Theory, and Information Theory -- chapter 2 Information Carrier Space Built upon Generalized Boolean Algebra with a Measure -- chapter 3 Informational Characteristics and Properties of Stochastic Processes -- chapter 4 Signal Spaces with Lattice Properties -- chapter 5 Communication Channel Capacity -- chapter 6 Quality Indices of Signal Processing in Metric Spaces with L-group Properties -- chapter 7 Synthesis and Analysis of Signal Processing Algorithms.

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