Effectiveness of Orthogonal Transforms in Information Processing Applications PDF Download

Author: Judea Pearl
Publisher:
ISBN:
Category : Functions, Orthogonal
Languages : en
Pages : 14

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Book Description
The effectiveness of using orthonormal transform methods in digital signal processing application was analyzed. (1) Standard tools and analytic measures for comparing the performance of orthonormal transforms under specified as well as partially known statistics are developed for data filtering and coding. (2) Signal uncertainty relations are generalized to cover discrete as well as non-trigonometric transforms. (3) The effectiveness of Fourier and Walsh transforms is compared for radar velocity estimation and target detection. (4) The discrete Fourier transform is proved to be asymptotically performance degradation due to residual cross-correlation among Fourier coefficients are developed for finite N. (5) Necessary and sufficient conditions for two transforms to be asymptotically equivalent are developed and bounds on the worst case performance difference are derived. (Author).

Author: Ruye Wang
Publisher:
ISBN: 9781139223614
Category : Functions, Orthogonal
Languages : en
Pages : 592

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Book Description
A systematic, unified treatment of orthogonal transform methods that guides the reader from mathematical theory to problem solving in practice.

Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 426

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Book Description

Author: Douglas F. Elliott
Publisher: Elsevier
ISBN: 0080918069
Category : Mathematics
Languages : en
Pages : 511

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Book Description
This book has grown from notes used by the authors to instruct fast transform classes. One class was sponsored by the Training Department of Rockwell International, and another was sponsored by the Department of Electrical Engineering of The University of Texas at Arlington. Some of the material was also used in a short course sponsored by the University of Southern California. The authors are indebted to their students for motivating the writing of this book and for suggestions to improve it.

Author: Wenlong Tsang
Publisher:
ISBN:
Category : Functions, Orthogonal
Languages : en
Pages : 302

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Book Description

Author: Ruye Wang
Publisher: Cambridge University Press
ISBN: 0521516889
Category : Mathematics
Languages : en
Pages : 591

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Book Description
A systematic, unified treatment of orthogonal transform methods that guides the reader from mathematical theory to problem solving in practice.

Author: Marg Karpovsky
Publisher: Elsevier
ISBN: 032314442X
Category : Technology & Engineering
Languages : en
Pages : 619

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Book Description
Spectral Techniques and Fault Detection focuses on the spectral techniques for the analysis, testing, and design of digital devices. This book discusses the error detection and correction in digital devices. Organized into 10 chapters, this book starts with an overview of the concepts and tools to evaluate the applicability of various spectral approaches and fault-detection techniques to the design. This text then describes the class of generalized Programmable Logic Array configurations called Encoded PLAs. Other chapters consider the two-sided Chrestenson Transform to the analysis of some pattern properties. This book describes as well a certain type of cellular arrays for highly parallel processing, namely, three-dimensional arrays. The final chapter deals with the system design methods that allow and encourage designers to incorporate the necessary distributed error correction throughout any digital system. This book is a valuable resource for graduate students and engineers working in the fields of logic design, spectral techniques, testing, and self-testing of digital devices.

Author: Petoukhov, Sergey
Publisher: IGI Global
ISBN: 1605661252
Category : Computers
Languages : en
Pages : 290

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Book Description
"This book compiles studies that demonstrate effective approaches to the structural analysis of genetic systems and bioinformatics"--Provided by publisher.

Author: Cybellium Ltd
Publisher: Cybellium Ltd
ISBN:
Category : Computers
Languages : en
Pages : 161

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Book Description
Unlock the Language of Vectors and Matrices for Enhanced Problem Solving In the realm of mathematics and science, linear algebra stands as a powerful language that underlies numerous disciplines. "Mastering Linear Algebra" is your definitive guide to understanding and harnessing the potential of this essential mathematical framework, empowering you to solve complex problems with clarity and precision. About the Book: As mathematical concepts become more integral to various fields, a strong grasp of linear algebra becomes increasingly valuable. "Mastering Linear Algebra" offers a comprehensive exploration of this foundational subject—a cornerstone of mathematics and its applications. This book caters to both newcomers and experienced learners aiming to excel in linear algebra concepts, computations, and applications. Key Features: Linear Algebra Fundamentals: Begin by understanding the core principles of linear algebra. Learn about vectors, matrices, and linear transformations—the fundamental building blocks of the subject. Matrix Operations: Dive into matrix operations. Explore techniques for matrix addition, multiplication, inversion, and determinant computation. Vector Spaces: Grasp the art of vector spaces and subspaces. Understand how to define, visualize, and analyze vector spaces for various applications. Eigenvalues and Eigenvectors: Explore the significance of eigenvalues and eigenvectors. Learn how they enable the analysis of dynamic systems and transformations. Linear Systems: Understand how linear algebra solves systems of linear equations. Explore techniques for Gaussian elimination, LU decomposition, and matrix factorization. Applications in Science and Engineering: Delve into real-world applications of linear algebra. Discover how it's applied in physics, computer graphics, data analysis, and more. Inner Product Spaces: Grasp the concepts of inner product spaces and orthogonality. Explore applications in geometric interpretations and least-squares solutions. Singular Value Decomposition: Explore the power of singular value decomposition. Understand how it enables data compression, noise reduction, and dimensionality reduction. Why This Book Matters: In a world driven by data and technological advancement, mastering linear algebra offers a competitive edge. "Mastering Linear Algebra" empowers students, researchers, scientists, and technology enthusiasts to leverage this fundamental mathematical language, enabling them to analyze and solve problems across diverse fields. Unlock the Power of Mathematical Insight: In the landscape of mathematics and science, linear algebra is the key to understanding complex relationships and transformations. "Mastering Linear Algebra" equips you with the knowledge needed to leverage linear algebra concepts, enabling you to solve intricate problems with clarity and precision. Whether you're a seasoned learner or new to the world of linear algebra, this book will guide you in building a solid foundation for effective mathematical analysis and application. Your journey to mastering linear algebra starts here. © 2023 Cybellium Ltd. All rights reserved. www.cybellium.com

Author: Anne Laurent
Publisher: Springer
ISBN: 3319088521
Category : Computers
Languages : en
Pages : 585

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Book Description
These three volumes (CCIS 442, 443, 444) constitute the proceedings of the 15th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2014, held in Montpellier, France, July 15-19, 2014. The 180 revised full papers presented together with five invited talks were carefully reviewed and selected from numerous submissions. The papers are organized in topical sections on uncertainty and imprecision on the web of data; decision support and uncertainty management in agri-environment; fuzzy implications; clustering; fuzzy measures and integrals; non-classical logics; data analysis; real-world applications; aggregation; probabilistic networks; recommendation systems and social networks; fuzzy systems; fuzzy logic in boolean framework; management of uncertainty in social networks; from different to same, from imitation to analogy; soft computing and sensory analysis; database systems; fuzzy set theory; measurement and sensory information; aggregation; formal methods for vagueness and uncertainty in a many-valued realm; graduality; preferences; uncertainty management in machine learning; philosophy and history of soft computing; soft computing and sensory analysis; similarity analysis; fuzzy logic, formal concept analysis and rough set; intelligent databases and information systems; theory of evidence; aggregation functions; big data - the role of fuzzy methods; imprecise probabilities: from foundations to applications; multinomial logistic regression on Markov chains for crop rotation modelling; intelligent measurement and control for nonlinear systems.