Andrey Popoff
Fundamentals of Signal Processing in Generalized Metric Spaces: Algorithms and Applications
Fundamentals of Signal Processing in Generalized Metric Spaces: Algorithms and Applications
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Excellent- More about Fundamentals of Signal Processing in Generalized Metric Spaces: Algorithms and Applications
The book explores the interrelationships between generalized metric spaces, lattice-ordered groups, and order statistics, providing a new algebraic approach to Signal Processing Theory. It offers a solution to large-scale Signal Processing Theory problems, covering signal parameter and spectral estimation, signal filtering, detection, classification, and resolution, array signal processing, demultiplexing, and demodulation, and wavelet analysis. It also discusses mathematical aspects and presents examples illustrating the operation of signal processing algorithms developed for various applications.
Format: Hardback
Length: 414 pages
Publication date: 15 April 2022
Publisher: Taylor & Francis Ltd
Exploring the Complex Interconnections between Generalized Metric Spaces, Lattice-Ordered Groups, and Order Statistics
This comprehensive book delves into the intricate relationships between generalized metric spaces, lattice-ordered groups, and order statistics, offering a novel algebraic approach to Signal Processing Theory. It provides a comprehensive exploration of mathematical concepts and results that are crucial in the development, analysis, and optimization of signal processing algorithms designed for a wide range of applications.
The book presents a groundbreaking solution to large-scale Signal Processing Theory problems, addressing both signal processing efficiency under prior uncertainty conditions and signal processing rate achieved through multiplication-free signal processing algorithms based on lattice-ordered group operations.
Spanning from basic foundational relationships to computer simulation, the text encompasses a diverse range of innovative mathematical techniques essential for comprehending the proposed signal processing algorithms developed to tackle a diverse array of problems. These problems include signal parameter and spectral estimation, signal filtering, detection, classification, and resolution; array signal processing; demultiplexing and demodulation in multi-channel communication systems and multi-station networks; and wavelet analysis of 1D/2D signals.
In addition to delving into mathematical aspects, each chapter presents practical examples that illustrate the operational functionality of signal processing algorithms developed for various applications. By discussing both known classic results and recent research trends in Signal Processing Theory and its applications, the book equips readers with a solid mathematical foundation concerning lattice-ordered groups, enabling them to embark on independent research endeavors in these promising directions, including advanced research and development.
Through its comprehensive coverage and insightful analysis, this book serves as a valuable resource for scholars, researchers, and practitioners in the field of Signal Processing Theory, providing them with the tools and knowledge necessary to advance their understanding and contribute to the ongoing advancements in this dynamic and rapidly evolving domain.
Weight: 988g
Dimension: 254 x 178 (mm)
ISBN-13: 9781032231259
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