Mathematics Of The Discrete Fourier Transform Dft
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Author | : Julius O. Smith |
Publisher | : Julius Smith |
Total Pages | : 323 |
Release | : 2008 |
Genre | : Fourier transformations |
ISBN | : 097456074X |
Download Mathematics of the Discrete Fourier Transform (DFT) Book in PDF, Epub and Kindle
"The DFT can be understood as a numerical approximation to the Fourier transform. However, the DFT has its own exact Fourier theory, and that is the focus of this book. The DFT is normally encountered as the Fast Fourier Transform (FFT)--a high-speed algorithm for computing the DFT. The FFT is used extensively in a wide range of digital signal processing applications, including spectrum analysis, high-speed convolution (linear filtering), filter banks, signal detection and estimation, system identification, audio compression (such as MPEG-II AAC), spectral modeling sound synthesis, and many others. In this book, certain topics in digital audio signal processing are introduced as example applications of the DFT"--Back cover
Author | : Julius Smith |
Publisher | : |
Total Pages | : 322 |
Release | : 2008-08-26 |
Genre | : |
ISBN | : 9781439208878 |
Download Mathematics of the Discrete Fourier Transform (DFT) Book in PDF, Epub and Kindle
Author | : Julius O. Smith III |
Publisher | : |
Total Pages | : 264 |
Release | : 2003-01-01 |
Genre | : Fourier transformations |
ISBN | : 9780974560700 |
Download Mathematics of the Discrete Fourier Transform (DFT) with Music and Audio Applications Book in PDF, Epub and Kindle
Author | : D. Sundararajan |
Publisher | : World Scientific |
Total Pages | : 400 |
Release | : 2001 |
Genre | : Mathematics |
ISBN | : 9789812810298 |
Download The Discrete Fourier Transform Book in PDF, Epub and Kindle
This authoritative book provides comprehensive coverage of practical Fourier analysis. It develops the concepts right from the basics and gradually guides the reader to the advanced topics. It presents the latest and practically efficient DFT algorithms, as well as the computation of discrete cosine and WalshOCoHadamard transforms. The large number of visual aids such as figures, flow graphs and flow charts makes the mathematical topic easy to understand. In addition, the numerous examples and the set of C-language programs (a supplement to the book) help greatly in understanding the theory and algorithms. Discrete Fourier analysis is covered first, followed by the continuous case, as the discrete case is easier to grasp and is very important in practice. This book will be useful as a text for regular or professional courses on Fourier analysis, and also as a supplementary text for courses on discrete signal processing, image processing, communications engineering and vibration analysis. Errata(s). Preface, Page viii. OC www.wspc.com/others/software/4610/OCO. The above links should be replaced with. OC www.worldscientific.com/doi/suppl/10.1142/4610/suppl_file/4610_software_free.zipOCO. Contents: The Discrete Sinusoid; The Discrete Fourier Transform; Properties of the DFT; Fundamentals of the PM DFT Algorithms; The u X 1 PM DFT Algorithms; The 2 X 2 PM DFT Algorithms; DFT Algorithms for Real Data OCo I; DFT Algorithms for Real Data OCo II; Two-Dimensional Discrete Fourier Transform; Aliasing and Other Effects; The Continuous-Time Fourier Series; The Continuous-Time Fourier Transform; Convolution and Correlation; Discrete Cosine Transform; Discrete WalshOCoHadamard Transform. Readership: Upper level undergraduate students, graduates, researchers and lecturers in engineering and applied mathematics."
Author | : William L. Briggs |
Publisher | : SIAM |
Total Pages | : 446 |
Release | : 1995-01-01 |
Genre | : Mathematics |
ISBN | : 0898713420 |
Download The DFT Book in PDF, Epub and Kindle
This book explores both the practical and theoretical aspects of the Discrete Fourier Transform, one of the most widely used tools in science, engineering, and computational mathematics. Designed to be accessible to an audience with diverse interests and mathematical backgrounds, the book is written in an informal style and is supported by many examples, figures, and problems. Conceived as an "owner's" manual, this comprehensive book covers such topics as the history of the DFT, derivations and properties of the DFT, comprehensive error analysis, issues concerning the implementation of the DFT in one and several dimensions, symmetric DFTs, a sample of DFT applications, and an overview of the FFT.
Author | : Isaac Amidror |
Publisher | : Springer Science & Business Media |
Total Pages | : 388 |
Release | : 2013-07-19 |
Genre | : Mathematics |
ISBN | : 1447151674 |
Download Mastering the Discrete Fourier Transform in One, Two or Several Dimensions Book in PDF, Epub and Kindle
The discrete Fourier transform (DFT) is an extremely useful tool that finds application in many different disciplines. However, its use requires caution. The aim of this book is to explain the DFT and its various artifacts and pitfalls and to show how to avoid these (whenever possible), or at least how to recognize them in order to avoid misinterpretations. This concentrated treatment of the DFT artifacts and pitfalls in a single volume is, indeed, new, and it makes this book a valuable source of information for the widest possible range of DFT users. Special attention is given to the one and two dimensional cases due to their particular importance, but the discussion covers the general multidimensional case, too. The book favours a pictorial, intuitive approach which is supported by mathematics, and the discussion is accompanied by a large number of figures and illustrative examples, some of which are visually attractive and even spectacular. Mastering the Discrete Fourier Transform in One, Two or Several Dimensions is intended for scientists, engineers, students and any readers who wish to widen their knowledge of the DFT and its practical use. This book will also be very useful for ‘naive’ users from various scientific or technical disciplines who have to use the DFT for their respective applications. The prerequisite mathematical background is limited to an elementary familiarity with calculus and with the continuous and discrete Fourier theory.
Author | : Duraisamy Sundararajan |
Publisher | : World Scientific |
Total Pages | : 392 |
Release | : 2001-04-30 |
Genre | : Technology & Engineering |
ISBN | : 9814491721 |
Download Discrete Fourier Transform, The: Theory, Algorithms And Applications Book in PDF, Epub and Kindle
This authoritative book provides comprehensive coverage of practical Fourier analysis. It develops the concepts right from the basics and gradually guides the reader to the advanced topics. It presents the latest and practically efficient DFT algorithms, as well as the computation of discrete cosine and Walsh-Hadamard transforms. The large number of visual aids such as figures, flow graphs and flow charts makes the mathematical topic easy to understand. In addition, the numerous examples and the set of C-language programs (a supplement to the book) help greatly in understanding the theory and algorithms. Discrete Fourier analysis is covered first, followed by the continuous case, as the discrete case is easier to grasp and is very important in practice.This book will be useful as a text for regular or professional courses on Fourier analysis, and also as a supplementary text for courses on discrete signal processing, image processing, communications engineering and vibration analysis.Errata(s)Preface, Page viii“www.wspc.com/others/software/4610/”The above links should be replaced with“www.worldscientific.com/doi/suppl/10.1142/4610/suppl_file/4610_software_free.zip”
Author | : Eleanor Chu |
Publisher | : CRC Press |
Total Pages | : 423 |
Release | : 2008-03-19 |
Genre | : Mathematics |
ISBN | : 1420063642 |
Download Discrete and Continuous Fourier Transforms Book in PDF, Epub and Kindle
Long employed in electrical engineering, the discrete Fourier transform (DFT) is now applied in a range of fields through the use of digital computers and fast Fourier transform (FFT) algorithms. But to correctly interpret DFT results, it is essential to understand the core and tools of Fourier analysis. Discrete and Continuous Fourier Transform
Author | : Steven L. Brunton |
Publisher | : Cambridge University Press |
Total Pages | : 615 |
Release | : 2022-05-05 |
Genre | : Computers |
ISBN | : 1009098489 |
Download Data-Driven Science and Engineering Book in PDF, Epub and Kindle
A textbook covering data-science and machine learning methods for modelling and control in engineering and science, with Python and MATLAB®.
Author | : Emmanuel Amiot |
Publisher | : Springer |
Total Pages | : 214 |
Release | : 2016-10-26 |
Genre | : Computers |
ISBN | : 3319455818 |
Download Music Through Fourier Space Book in PDF, Epub and Kindle
This book explains the state of the art in the use of the discrete Fourier transform (DFT) of musical structures such as rhythms or scales. In particular the author explains the DFT of pitch-class distributions, homometry and the phase retrieval problem, nil Fourier coefficients and tilings, saliency, extrapolation to the continuous Fourier transform and continuous spaces, and the meaning of the phases of Fourier coefficients. This is the first textbook dedicated to this subject, and with supporting examples and exercises this is suitable for researchers and advanced undergraduate and graduate students of music, computer science and engineering. The author has made online supplementary material available, and the book is also suitable for practitioners who want to learn about techniques for understanding musical notions and who want to gain musical insights into mathematical problems.