Multiplicative Complexity Convolution And The Dft
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Multiplicative Complexity Convolution And The Dft
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Author : Michael T. Heideman
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Multiplicative Complexity Convolution And The Dft written by Michael T. Heideman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
This book is intended to be a comprehensive reference to multiplicative com plexity theory as applied to digital signal processing computations. Although a few algorithms are included to illustrate the theory, I concentrated more on the develop ment of the theory itself. Howie Johnson's infectious enthusiasm for designing efficient DfT algorithms got me interested in this subject. I am grateful to Prof. Sid Burrus for encouraging and supporting me in this effort. I would also like to thank Henrik Sorensen and Doug Jones for many stimulating discussions. lowe a great debt to Shmuel Winograd, who, almost singlehandedly, provided most of the key theoretical results that led to this present work. His monograph, Arithmetic Complexity o/Computations, introduced me to the mechanism behind the proofs of theorems in multiplicative complexity. enabling me to return to his earlier papers and appreciate the elegance of his methods for deriving the theory. The second key work that influenced me was the paper by Louis Auslander and Winograd on multiplicative complexity of semilinear systems defined by polynomials. After reading this paper, it was clear to me that this theory could be applied to many impor tant computational problems. These influences can be easily discerned in the present work.
Multiplicative Complexity Convolution And The Dft
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Author : Michael T Heideman
language : en
Publisher:
Release Date : 1988-08-01
Multiplicative Complexity Convolution And The Dft written by Michael T Heideman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-08-01 with categories.
The Digital Signal Processing Handbook
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Author : VIJAY MADISETTI
language : en
Publisher: CRC Press
Release Date : 1997-12-29
The Digital Signal Processing Handbook written by VIJAY MADISETTI and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-12-29 with Technology & Engineering categories.
The field of digital signal processing (DSP) has spurred developments from basic theory of discrete-time signals and processing tools to diverse applications in telecommunications, speech and acoustics, radar, and video. This volume provides an accessible reference, offering theoretical and practical information to the audience of DSP users. This immense compilation outlines both introductory and specialized aspects of information-bearing signals in digital form, creating a resource relevant to the expanding needs of the engineering community. It also explores the use of computers and special-purpose digital hardware in extracting information or transforming signals in advantageous ways. Impacted areas presented include: Telecommunications Computer engineering Acoustics Seismic data analysis DSP software and hardware Image and video processing Remote sensing Multimedia applications Medical technology Radar and sonar applications This authoritative collaboration, written by the foremost researchers and practitioners in their fields, comprehensively presents the range of DSP: from theory to application, from algorithms to hardware.
Algorithms For Discrete Fourier Transform And Convolution
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Author : Richard Tolimieri
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Algorithms For Discrete Fourier Transform And Convolution written by Richard Tolimieri and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Technology & Engineering categories.
This book is based on several courses taught during the years 1985-1989 at the City College of the City University of New York and at Fudan Univer sity, Shanghai, China, in the summer of 1986. It was originally our intention to present to a mixed audience of electrical engineers, mathematicians and computer scientists at the graduate level a collection of algorithms that would serve to represent the vast array of algorithms designed over the last twenty years for computing the finite Fourier transform (FFT) and finite convolution. However, it was soon apparent that the scope of the course had to be greatly expanded. For researchers interested in the design of new algorithms, a deeper understanding of the basic mathematical concepts underlying algorithm design was essential. At the same time, a large gap remained between the statement of an algorithm and the implementation of the algorithm. The main goal of this text is to describe tools that can serve both of these needs. In fact, it is our belief that certain mathematical ideas provide a natural language and culture for understanding, unifying and implementing a wide range of digital signal processing (DSP) algo rithms. This belief is reinforced by the complex and time-consuming effort required to write code for recently available parallel and vector machines. A significant part of this text is devoted to establishing rules and procedures that reduce and at times automate this task.
Multidimensional Discrete Unitary Transforms
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Author : Artyom M. Grigoryan
language : en
Publisher: CRC Press
Release Date : 2003-07-31
Multidimensional Discrete Unitary Transforms written by Artyom M. Grigoryan and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-31 with Computers categories.
This reference presents a more efficient, flexible, and manageable approach to unitary transform calculation and examines novel concepts in the design, classification, and management of fast algorithms for different transforms in one-, two-, and multidimensional cases. Illustrating methods to construct new unitary transforms for best algorithm sele
The Transform And Data Compression Handbook
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Author : Kamisetty Ramam Rao
language : en
Publisher: CRC Press
Release Date : 2018-10-03
The Transform And Data Compression Handbook written by Kamisetty Ramam Rao and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-03 with Computers categories.
Data compression is one of the main contributing factors in the explosive growth in information technology. Without it, a number of consumer and commercial products, such as DVD, videophone, digital camera, MP3, video-streaming and wireless PCS, would have been virtually impossible. Transforming the data to a frequency or other domain enables even more efficient compression. By illustrating this intimate link, The Transform and Data Compression Handbook serves as a much-needed handbook for a wide range of researchers and engineers. The authors describe various discrete transforms and their applications in different disciplines. They cover techniques, such as adaptive quantization and entropy coding, that result in significant reduction in bit rates when applied to the transform coefficients. With clear and concise presentations of the ideas and concepts, as well as detailed descriptions of the algorithms, the authors provide important insight into the applications and their limitations. Data compression is an essential step towards the efficient storage and transmission of information. The Transform and Data Compression Handbook provides a wealth of information regarding different discrete transforms and demonstrates their power and practicality in data compression.
Digital Signal Processing Algorithms
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Author : Hari Krishna
language : en
Publisher: Routledge
Release Date : 2017-11-22
Digital Signal Processing Algorithms written by Hari Krishna and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-22 with Technology & Engineering categories.
Digital Signal Processing Algorithms describes computational number theory and its applications to deriving fast algorithms for digital signal processing. It demonstrates the importance of computational number theory in the design of digital signal processing algorithms and clearly describes the nature and structure of the algorithms themselves. The book has two primary focuses: first, it establishes the properties of discrete-time sequence indices and their corresponding fast algorithms; and second, it investigates the properties of the discrete-time sequences and the corresponding fast algorithms for processing these sequences. Digital Signal Processing Algorithms examines three of the most common computational tasks that occur in digital signal processing; namely, cyclic convolution, acyclic convolution, and discrete Fourier transformation. The application of number theory to deriving fast and efficient algorithms for these three and related computationally intensive tasks is clearly discussed and illustrated with examples. Its comprehensive coverage of digital signal processing, computer arithmetic, and coding theory makes Digital Signal Processing Algorithms an excellent reference for practicing engineers. The authors' intent to demystify the abstract nature of number theory and the related algebra is evident throughout the text, providing clear and precise coverage of the quickly evolving field of digital signal processing.
Sensors Circuits And Systems For Scientific Instruments
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Author : Soumyajit Mandal
language : en
Publisher: Academic Press
Release Date : 2025-07-11
Sensors Circuits And Systems For Scientific Instruments written by Soumyajit Mandal and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-11 with Technology & Engineering categories.
Sensors, Circuits, and Systems for Scientific Instruments: Back-Ends and Applications delves into the advanced world of sensors and circuits tailored for precision measurements. This text builds on foundational concepts from prior studies and focuses on the sophisticated processes in the later stages of measurement. From data converters to digital signal processing, and parameter estimation to machine learning, this volume provides students with critical insights into testing, verification, and system integration through practical case studies involving various scientific instruments.Designed for senior undergraduates and entry-level graduate students in electrical and computer engineering, applied physics, and biomedical engineering, this book bridges a gap between component-focused texts and broad surveys, offering a thorough understanding of back-end systems and applications. - Develops a unified treatment of modern scientific instruments by combining knowledge of high-performance sensors, semiconductor devices, circuits, signal processing, and embedded computing - Focuses on fundamental concepts in precision sensing and interface circuitry (accuracy, precision, linearity, noise, etc.) and their impact on system-level performance - Introduces readers to the indispensable role of signal detection theory, pattern recognition, and machine learning for modern scientific instrumentation - Presents multiple case studies and examples to demonstrate how theoretical concepts are translated into real-life measurement systems
Distributed Computing And Cryptography
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Author : Joan Feigenbaum
language : en
Publisher: American Mathematical Soc.
Release Date : 1991
Distributed Computing And Cryptography written by Joan Feigenbaum and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Computers categories.
This book, the second volume in the new DIMACS book series, contains the proceedings of a workshop held in Princeton, New Jersey in October 1989. The workshop, which drew seventy-four participants from five countries, addressed a wide range of practical and theoretical questions arising in the overlap of distributed computation and cryptography. In addition to fifteen papers based on formal talks presented at the workshop, this volume also contains two contributed papers on related topics, and an extensive summary of informal discussions that took place during the workshop, including some open questions raised. The book requires basic background in computer science and either a familiarity with the notation and terminology of distributed computing and cryptography, or a willingness to do some background reading. Students, researchers, and engineers interested in the theoretical and practical aspects of distributed computing and cryptography will appreciate the overview the book provides of some of the major questions at the forefront of research in these areas.
Fast Fourier Transforms
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Author : C. Sidney Burrus
language : en
Publisher: Lulu.com
Release Date : 2012-11-30
Fast Fourier Transforms written by C. Sidney Burrus and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-30 with Technology & Engineering categories.
This book uses an index map, a polynomial decomposition, an operator factorization, and a conversion to a filter to develop a very general and efficient description of fast algorithms to calculate the discrete Fourier transform (DFT). The work of Winograd is outlined, chapters by Selesnick, Pueschel, and Johnson are included, and computer programs are provided.