The Application of the Discrete Fast Fourier Transform (FFT) to the Convolution of Probability Distributions PDF Download
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Author: L. Beall
Publisher:
ISBN:
Category : Probabilities
Languages : en
Pages :
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Book Description
Author: L. Beall
Publisher:
ISBN:
Category : Probabilities
Languages : en
Pages :
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Book Description
Author: Eleanor Chu
Publisher: CRC Press
ISBN: 1000687570
Category : Mathematics
Languages : en
Pages : 272
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Book Description
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: E. Oran Brigham
Publisher: Pearson
ISBN:
Category : Mathematics
Languages : en
Pages : 474
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Book Description
The Fast Fourier Transform (FFT) is a mathematical method widely used in signal processing. This book focuses on the application of the FFT in a variety of areas: Biomedical engineering, mechanical analysis, analysis of stock market data, geophysical analysis, and the conventional radar communications field.
Author: Robert V. Hogg
Publisher: John Wiley & Sons
ISBN: 0470317302
Category : Business & Economics
Languages : en
Pages : 254
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Book Description
Devoted to the problem of fitting parametric probability distributions to data, this treatment uniquely unifies loss modeling in one book. Data sets used are related to the insurance industry, but can be applied to other distributions. Emphasis is on the distribution of single losses related to claims made against various types of insurance policies. Includes five sets of insurance data as examples.
Author: C. Sidney Burrus
Publisher: Lulu.com
ISBN: 1300461640
Category : Technology & Engineering
Languages : en
Pages : 256
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Book Description
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.
Author: H.J. Nussbaumer
Publisher: Springer Science & Business Media
ISBN: 3662005514
Category : Mathematics
Languages : en
Pages : 260
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Book Description
This book presents in a unified way the various fast algorithms that are used for the implementation of digital filters and the evaluation of discrete Fourier transforms. The book consists of eight chapters. The first two chapters are devoted to background information and to introductory material on number theory and polynomial algebra. This section is limited to the basic concepts as they apply to other parts of the book. Thus, we have restricted our discussion of number theory to congruences, primitive roots, quadratic residues, and to the properties of Mersenne and Fermat numbers. The section on polynomial algebra deals primarily with the divisibility and congruence properties of polynomials and with algebraic computational complexity. The rest of the book is focused directly on fast digital filtering and discrete Fourier transform algorithms. We have attempted to present these techniques in a unified way by using polynomial algebra as extensively as possible. This objective has led us to reformulate many of the algorithms which are discussed in the book. It has been our experience that such a presentation serves to clarify the relationship between the algorithms and often provides clues to improved computation techniques. Chapter 3 reviews the fast digital filtering algorithms, with emphasis on algebraic methods and on the evaluation of one-dimensional circular convolutions. Chapters 4 and 5 present the fast Fourier transform and the Winograd Fourier transform algorithm.
Author: Julius O. Smith
Publisher: Julius Smith
ISBN: 097456074X
Category : Fourier transformations
Languages : en
Pages : 323
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Book Description
"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: E. Oran Brigham
Publisher: Prentice Hall
ISBN:
Category : Mathematics
Languages : en
Pages : 272
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Book Description
The fourier transform; Fourier transform properties; Convolution and correlation; Fourier series and sampled waveforms; The discrete fourier transform; Discrete convolutiion and correlation; Applying the discrete fourier transform.
Author: Aurel Wintner
Publisher:
ISBN:
Category : Distribution (Probability theory).
Languages : en
Pages : 200
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Book Description
Author: Richard Tolimieri
Publisher: Springer Science & Business Media
ISBN: 1475738544
Category : Technology & Engineering
Languages : en
Pages : 363
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Book Description
This easily accessible book provides a broad view of the latest developments in the field of fast digital signal processing algorithms. It bridges the gap between DSP algorithms and their implementation on a variety of serial and super computers.
