Hadamard Transform

Author : Fouad Sabry
Publisher : One Billion Knowledgeable
ISBN 13 :
Total Pages : 147 pages
Book Rating : 4.03/5 ( download)

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Download or read book Hadamard Transform written by Fouad Sabry and published by One Billion Knowledgeable. This book was released on 2024-04-28 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is Hadamard Transform The Hadamard transform is an example of a generalized class of Fourier transforms. It performs an orthogonal, symmetric, involutive, linear operation on 2m real numbers. How you will benefit (I) Insights, and validations about the following topics: Chapter 1: Hadamard transform Chapter 2: Discrete Fourier transform Chapter 3: Fast Walsh-Hadamard transform Chapter 4: Quantum Fourier transform Chapter 5: Bracket notation Chapter 6: Pauli matrices Chapter 7: Quantum logic gate Chapter 8: Controlled NOT gate Chapter 9: Generalizations of Pauli matrices Chapter 10: Spherical basis (II) Answering the public top questions about hadamard transform. (III) Real world examples for the usage of hadamard transform in many fields. Who this book is for Professionals, undergraduate and graduate students, enthusiasts, hobbyists, and those who want to go beyond basic knowledge or information for any kind of Hadamard Transform.

Author : Martin Harwit
Publisher : Elsevier
ISBN 13 : 0323158641
Total Pages : 264 pages
Book Rating : 4.40/5 ( download)

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Download or read book Hadamard transform optics written by Martin Harwit and published by Elsevier. This book was released on 2012-12-02 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hadamard Transform Optics focuses on Hadamard transform optics and Hadamard encoded optical instruments. The techniques developed to date are described, and a unified mathematical treatment that should facilitate comparisons between different classes of instruments is presented. With this approach, encoded Hadamard transform spectrometers are discussed in very much the same way as encoded imaging devices. The advantages offered by singly and multiply encoded instruments designed for a wide variety of purposes are also considered. This book is comprised of seven chapters and begins with an introduction to optical multiplexing techniques, as well as the connections with weighing designs, along with the best masks for use in optical instruments and the improvement in signal-to-noise ratio that should be produced by multiplexing. Spectrometers which make use of multiplexing, including the Michelson and Mach-Zehnder interferometers and Golay's multislit spectrometers, are then described. Subsequent chapters deal with the basic theory of Hadamard transform spectrometers and imagers; factors that affect the signal-to-noise ratio; and instrumental considerations and systematic errors in instruments. The final chapter looks at some of the applications of Hadamard transform optics, including image processing and in fields such as astronomy and medicine. This monograph will be a useful resource for physicists.

Author : N. Ahmed
Publisher : Springer Science & Business Media
ISBN 13 : 364245450X
Total Pages : 274 pages
Book Rating : 4.09/5 ( download)

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Download or read book Orthogonal Transforms for Digital Signal Processing written by N. Ahmed and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended for those wishing to acquire a working knowledge of orthogonal transforms in the area of digital signal processing. The authors hope that their introduction will enhance the opportunities for interdiscipli nary work in this field. The book consists of ten chapters. The first seven chapters are devoted to the study of the background, motivation and development of orthogonal transforms, the prerequisites for which are a basic knowledge of Fourier series transform (e.g., via a course in differential equations) and matrix al gebra. The last three chapters are relatively specialized in that they are di rected toward certain applications of orthogonal transforms in digital signal processing. As such, a knowlegde of discrete probability theory is an essential additional prerequisite. A basic knowledge of communication theory would be helpful, although not essential. Much of the material presented here has evolved from graduate level courses offered by the Departments of Electrical Engineering at Kansas State University and the University of Texas at Arlington, during the past five years. With advanced graduate students, all the material was covered in one semester. In the case of first year graduate students, the material in the first seven chapters was covered in one semester. This was followed by a prob lems project-oriented course directed toward specific applications, using the material in the last three chapters as a basis.

Author : Rao K. Yarlagadda
Publisher : Springer Science & Business Media
ISBN 13 : 1461563135
Total Pages : 120 pages
Book Rating : 4.36/5 ( download)

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Download or read book Hadamard Matrix Analysis and Synthesis written by Rao K. Yarlagadda and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hadamard Matrix Analysis and Synthesis: With Applications to Communications and Signal/Image Processing presents the basic concepts of Sylvester's construction of Hadamard matrices, the eigenvalue-eigenvector decompositions, along with its relationship to Fourier transforms. Relevant computational structures are included for those interested in implementing the Hadamard transform. The 2-dimensional Hadamard transform is discussed in terms of a 1- dimensional transform. The applications presented touch on statistics, error correction coding theory, communications signaling, Boolean function analysis and synthesis, image processing, sequence theory (maximal length binary sequences, composite sequences, and Thue-Morse sequences) and signal representation. An interesting application of the Hadamard transform to images is the Naturalness Preserving Transform (NPT), which is presented. The NPT provides a way to encode an image that can be reconstructed when it is transmitted through a noisy or an unfriendly channel. The potential applications of the Hadamard transform are wide and the book samples many of the important concepts among a vast field of applications of the transform. Hadamard Matrix Analysis and Synthesis: With Applications to Communications and Signal/Image Processing serves as an excellent reference source and may be used as a text for advanced courses on the topic.

Author : Martin Harwit
Publisher :
ISBN 13 :
Total Pages : 272 pages
Book Rating : 4.56/5 ( download)

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Download or read book Hadamard Transform Optics written by Martin Harwit and published by . This book was released on 1979 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : K. J. Horadam
Publisher : Princeton University Press
ISBN 13 : 1400842905
Total Pages : 280 pages
Book Rating : 4.02/5 ( download)

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Download or read book Hadamard Matrices and Their Applications written by K. J. Horadam and published by Princeton University Press. This book was released on 2012-01-06 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Hadamard Matrices and Their Applications, K. J. Horadam provides the first unified account of cocyclic Hadamard matrices and their applications in signal and data processing. This original work is based on the development of an algebraic link between Hadamard matrices and the cohomology of finite groups that was discovered fifteen years ago. The book translates physical applications into terms a pure mathematician will appreciate, and theoretical structures into ones an applied mathematician, computer scientist, or communications engineer can adapt and use. The first half of the book explains the state of our knowledge of Hadamard matrices and two important generalizations: matrices with group entries and multidimensional Hadamard arrays. It focuses on their applications in engineering and computer science, as signal transforms, spreading sequences, error-correcting codes, and cryptographic primitives. The book's second half presents the new results in cocyclic Hadamard matrices and their applications. Full expression of this theory has been realized only recently, in the Five-fold Constellation. This identifies cocyclic generalized Hadamard matrices with particular "stars" in four other areas of mathematics and engineering: group cohomology, incidence structures, combinatorics, and signal correlation. Pointing the way to possible new developments in a field ripe for further research, this book formulates and discusses ninety open questions.

Author : Partha Pratim Kanjilal
Publisher : IET
ISBN 13 : 9780863411939
Total Pages : 542 pages
Book Rating : 4.32/5 ( download)

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Download or read book Adaptive Prediction and Predictive Control written by Partha Pratim Kanjilal and published by IET. This book was released on 1995 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides unified coverage of the principles and methods of various disciplines' approaches to prediction and control of processes expressed by discrete-time models, especially adaptive prediction, for students, researchers, and practitioners in the field. Chapters on methods of adaptive prediction for linear and non-linear processes, such as input-output model based prediction and Kalman filter predictors, avoid complex mathematical symbols and expressions, and contain examples and case studies. Includes introductory material on process models and parameter estimation, plus reference appendices and data sets. Annotation copyright by Book News, Inc., Portland, OR

Author : P. Griffiths
Publisher : Springer Science & Business Media
ISBN 13 : 1468424033
Total Pages : 395 pages
Book Rating : 4.34/5 ( download)

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Download or read book Transform Techniques in Chemistry written by P. Griffiths and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: The application of the Fourier transform is being seen to an increasing extent in all branches of chemistry, but it is in the area of chemical analysis that the greatest activity is taking place. Fourier transform infrared and nuclear magnetic resonance spectrometry are already routine methods for obtaining high-sensitivity IR and NMR spectra. Analogous methods are now being developed for mass spectrometry (Fourier transform ion cyclo tron resonance spectrometry) and microwave spectroscopy, and Fourier transform techniques have been successfully applied in several areas of electrochemistry. In addition the fast Fourier transform algorithm has been used for smoothing, interpolation, and more efficient storage of data, and has been studied as a potential method for more efficient identification of samples using pattern recognition techniques. Linear transforms have also been shown to be useful in analytical chemistry. Probably the most important of these is the Hadamard transform, which has been applied in alternative methods for obtaining IR and NMR data at high sensitivity. Even though measurements involving this algorithm will probably not be applied as universally as their Fourier transform ana logs, in the area of pattern recognition application of the Hadamard trans form will in all probability prove more important than application of the Fourier transform.

Author : Leonid Yaroslavsky
Publisher : Springer Science & Business Media
ISBN 13 : 1475749880
Total Pages : 591 pages
Book Rating : 4.85/5 ( download)

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Download or read book Digital Holography and Digital Image Processing written by Leonid Yaroslavsky and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: Digital holography and digital image processing are twins born by computer era. They share origin, theoretical base, methods and algorithms. The present book describes these common fundamentals principles, methods and algorithms including image and hologram digitization, data compression, digital transforms and efficient computational algorithms, statistical and Monte-Carlo methods, image restoration and enhancement, image reconstruction in tomography and digital holography, discrete signal resampling and image geometrical transformations, accurate measurements and reliable target localization in images, recording and reconstruction of computer generated holograms, adaptive and nonlinear filters for sensor signal perfecting and image restoration and enhancement. The book combines theory, heavily illustrated practical methods and efficient computational algorithms and is written for senior-level undergraduate and graduate students, researchers and engineers in optics, photonics, opto-electronics and electronic engineering.

Author : Radomir Stankovic
Publisher : Springer Science & Business Media
ISBN 13 : 0387955453
Total Pages : 297 pages
Book Rating : 4.52/5 ( download)

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Download or read book Spectral Interpretation of Decision Diagrams written by Radomir Stankovic and published by Springer Science & Business Media. This book was released on 2003-06-16 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Decision diagrams (DDs) are data structures for efficient (time/space) representations of large discrete functions. In addition to their wide application in engineering practice, DDs are now a standard part of many CAD systems for logic design and a basis for severe signal processing algorithms. "Spectral Interpretation of Decision Diagrams" derives from attempts to classify and uniformly interpret DDs through spectral interpretation methods, relating them to different Fourier-series-like functional expressions for discrete functions and a group-theoretic approach to DD optimization. The book examines DDs found in literature and engineering practice and provides insights into relationships between DDs and different polynomial or spectral expressions for representation of discrete functions. In addition, it offers guidelines and criteria for selection of the most suitable representation in terms of space and time complexity. The work complements theory with numerous illustrative examples from practice. Moreover, the importance of DD representations to the verification and testing of arithmetic circuits is addressed, as well as problems related to various signal processing tasks.