Computational Number Theory And Digital Signal Processing
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Author |
: Hari Krishna |
Publisher |
: CRC Press |
Total Pages |
: 352 |
Release |
: 1994-08-16 |
ISBN-10 |
: 0849371775 |
ISBN-13 |
: 9780849371776 |
Rating |
: 4/5 (75 Downloads) |
Synopsis Computational Number Theory and Digital Signal Processing by : Hari Krishna
Military service involves exposure to multiple sources of chronic, acute, and potentially traumatic stress, especially during deployment and combat. Notoriously variable, the effects of stress can be subtle to severe, immediate or delayed, impairing individual and group readiness, operational performance, and—ultimately—survival. A comprehensive compilation on the state of the science, Biobehavioral Resilience to Stress identifies key factors and characteristics that are essential to a scientifically useful and behaviorally predictive understanding of resilience to stress. Contributions from Uniquely Qualified Military and Civilian Experts Initiated by the Military Operational Medicine Research Directorate of the US Army Medical Research and Material Command (USAMRMC), this seminal volume integrates recent research and experience from military and civilian experts in behavioral and social sciences, human performance, and physiology. Each chapter is grounded in vigorous research with emphasis on relevance to a variety of real-world operations and settings, including extreme environments encountered in modern war. Logical Progression, Cross-Disciplinary Appeal Organized into four sections, the text begins with a discussion of the relevant aspects of stress in the context of military life to offer civilian readers a window into contemporary military priorities. Later chapters consider biological, physiological, and genetic factors, psychosocial aspects of resilience, and “community capacity” variables that influence psychological responses to stressful events. This multidisciplinary effort concludes with an overview of emergent themes and related issues to advance the science of resilience toward predictive research, theory, and application for all those—military and civilian—who serve in the national defense.
Author |
: Hari Krishna |
Publisher |
: |
Total Pages |
: |
Release |
: 2017 |
ISBN-10 |
: 1351454951 |
ISBN-13 |
: 9781351454957 |
Rating |
: 4/5 (51 Downloads) |
Synopsis Digital Signal Processing Algorithms by : Hari Krishna
"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."--Provided by publisher.
Author |
: Hari Krishna |
Publisher |
: Routledge |
Total Pages |
: 676 |
Release |
: 2017-11-22 |
ISBN-10 |
: 9781351454964 |
ISBN-13 |
: 135145496X |
Rating |
: 4/5 (64 Downloads) |
Synopsis Digital Signal Processing Algorithms by : Hari Krishna
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.
Author |
: Carl Pomerance |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 188 |
Release |
: 1990 |
ISBN-10 |
: 0821801554 |
ISBN-13 |
: 9780821801550 |
Rating |
: 4/5 (54 Downloads) |
Synopsis Cryptology and Computational Number Theory by : Carl Pomerance
In the past dozen or so years, cryptology and computational number theory have become increasingly intertwined. Because the primary cryptologic application of number theory is the apparent intractability of certain computations, these two fields could part in the future and again go their separate ways. But for now, their union is continuing to bring ferment and rapid change in both subjects. This book contains the proceedings of an AMS Short Course in Cryptology and Computational Number Theory, held in August 1989 during the Joint Mathematics Meetings in Boulder, Colorado. These eight papers by six of the top experts in the field will provide readers with a thorough introduction to some of the principal advances in cryptology and computational number theory over the past fifteen years. In addition to an extensive introductory article, the book contains articles on primality testing, discrete logarithms, integer factoring, knapsack cryptosystems, pseudorandom number generators, the theoretical underpinnings of cryptology, and other number theory-based cryptosystems. Requiring only background in elementary number theory, this book is aimed at nonexperts, including graduate students and advanced undergraduates in mathematics and computer science.
Author |
: VIJAY MADISETTI |
Publisher |
: CRC Press |
Total Pages |
: 1725 |
Release |
: 1999-02-26 |
ISBN-10 |
: 9780849321351 |
ISBN-13 |
: 0849321352 |
Rating |
: 4/5 (51 Downloads) |
Synopsis Digital Signal Processing Handbook on CD-ROM by : VIJAY MADISETTI
A best-seller in its print version, this comprehensive CD-ROM reference contains unique, fully searchable coverage of all major topics in digital signal processing (DSP), establishing an invaluable, time-saving resource for the engineering community. Its unique and broad scope includes contributions from all DSP specialties, including: 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
Author |
: Vijay Madisetti |
Publisher |
: CRC Press |
Total Pages |
: 1316 |
Release |
: 2017-12-19 |
ISBN-10 |
: 9781351835725 |
ISBN-13 |
: 1351835726 |
Rating |
: 4/5 (25 Downloads) |
Synopsis Digital Signal Processing Fundamentals by : Vijay Madisetti
Now available in a three-volume set, this updated and expanded edition of the bestselling The Digital Signal Processing Handbook continues to provide the engineering community with authoritative coverage of the fundamental and specialized aspects of information-bearing signals in digital form. Encompassing essential background material, technical details, standards, and software, the second edition reflects cutting-edge information on signal processing algorithms and protocols related to speech, audio, multimedia, and video processing technology associated with standards ranging from WiMax to MP3 audio, low-power/high-performance DSPs, color image processing, and chips on video. Drawing on the experience of leading engineers, researchers, and scholars, the three-volume set contains 29 new chapters that address multimedia and Internet technologies, tomography, radar systems, architecture, standards, and future applications in speech, acoustics, video, radar, and telecommunications. Emphasizing theoretical concepts, Digital Signal Processing Fundamentals provides comprehensive coverage of the basic foundations of DSP and includes the following parts: Signals and Systems; Signal Representation and Quantization; Fourier Transforms; Digital Filtering; Statistical Signal Processing; Adaptive Filtering; Inverse Problems and Signal Reconstruction; and Time–Frequency and Multirate Signal Processing.
Author |
: Song Y. Yan |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 454 |
Release |
: 2013-11-11 |
ISBN-10 |
: 9783662047736 |
ISBN-13 |
: 366204773X |
Rating |
: 4/5 (36 Downloads) |
Synopsis Number Theory for Computing by : Song Y. Yan
This book provides a good introduction to the classical elementary number theory and the modern algorithmic number theory, and their applications in computing and information technology, including computer systems design, cryptography and network security. In this second edition proofs of many theorems have been provided, further additions and corrections were made.
Author |
: |
Publisher |
: Elsevier |
Total Pages |
: 425 |
Release |
: 1996-03-18 |
ISBN-10 |
: 9780080529912 |
ISBN-13 |
: 0080529917 |
Rating |
: 4/5 (12 Downloads) |
Synopsis Computer Techniques and Algorithms in Digital Signal Processing by :
Covers advances in the field of computer techniques and algorithms in digital signal processing.
Author |
: Igor Shparlinski |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 532 |
Release |
: 2013-03-09 |
ISBN-10 |
: 9789401592390 |
ISBN-13 |
: 940159239X |
Rating |
: 4/5 (90 Downloads) |
Synopsis Finite Fields: Theory and Computation by : Igor Shparlinski
This book is mainly devoted to some computational and algorithmic problems in finite fields such as, for example, polynomial factorization, finding irreducible and primitive polynomials, the distribution of these primitive polynomials and of primitive points on elliptic curves, constructing bases of various types and new applications of finite fields to other areas of mathematics. For completeness we in clude two special chapters on some recent advances and applications of the theory of congruences (optimal coefficients, congruential pseudo-random number gener ators, modular arithmetic, etc.) and computational number theory (primality testing, factoring integers, computation in algebraic number theory, etc.). The problems considered here have many applications in Computer Science, Cod ing Theory, Cryptography, Numerical Methods, and so on. There are a few books devoted to more general questions, but the results contained in this book have not till now been collected under one cover. In the present work the author has attempted to point out new links among different areas of the theory of finite fields. It contains many very important results which previously could be found only in widely scattered and hardly available conference proceedings and journals. In particular, we extensively review results which originally appeared only in Russian, and are not well known to mathematicians outside the former USSR.
Author |
: |
Publisher |
: PediaPress |
Total Pages |
: 113 |
Release |
: |
ISBN-10 |
: |
ISBN-13 |
: |
Rating |
: 4/5 ( Downloads) |
Synopsis Algorithm Designs by :