Digital Signal Processing Using The Fast Fourier Transform Fft

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Digital Signal Processing Using the Fast Fourier Transform (FFT)

Author : Albert H. Kaiser
Publisher : GRIN Verlag
ISBN 13 : 3638639142
Total Pages : 89 pages
Book Rating : 4.6/5 (386 download)

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Book Synopsis Digital Signal Processing Using the Fast Fourier Transform (FFT) by : Albert H. Kaiser

Download or read book Digital Signal Processing Using the Fast Fourier Transform (FFT) written by Albert H. Kaiser and published by GRIN Verlag. This book was released on 2007-12 with total page 89 pages. Available in PDF, EPUB and Kindle. Book excerpt: Seminar paper from the year 1997 in the subject Technology, grade: 1 (A), Loughborough University (Department of Aeronautical and Automotive Engineering), language: English, abstract: Conventionally a signal is a physical variable that changes with time and contains information. The signal may be represented in analogue (continuos) or discrete (digital) form. The majority of the physical variables of interest for the engineer are of analogue form. However digital data acquisition equipment favour a digital representation of the analogue signal. The digital representation of a analogue signal will effect the characteristic of the signal. Thus an understanding of the underlying principles involved in signal processing is essential in order to retain the basic information of the original signal. The primary goal to use the Discrete Fourier Transform (DFT) is to approximate the Fourier Transform of a continuous time signal. The DFT is discrete in time and frequency domain and has two important properties: - the DFT is periodic with the sampling frequency - the DFT is symmetric about the Nyquist frequency Due to the limitations of the DFT there are three possible phenomena that could result in errors between computed and desired transform. - Aliasing - Picket Fence Effect - Leakage The DFT of a signal uses only a finite record length of the signal. Thus the input signal for the DFT can be considered as the result of multiplying the signal with a window function. Multiplication in the time domain results in convolution in the frequency domain, which will influence the spectral characteristic of the sampled signal. In the table below rectangular and Hanning window are compared: [...] Table The Fast Fourier Transform (FFT) is a computationally efficient algorithm for evaluating the DFT of a signal. It is imported to appreciate the properties of the FFT if it is to be used effectively for the analysis of signals. In order to avoid aliasing and resulting misi

Fast Fourier Transform - Algorithms and Applications

Author : K.R. Rao
Publisher : Springer Science & Business Media
ISBN 13 : 1402066295
Total Pages : 437 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Fast Fourier Transform - Algorithms and Applications by : K.R. Rao

Download or read book Fast Fourier Transform - Algorithms and Applications written by K.R. Rao and published by Springer Science & Business Media. This book was released on 2011-02-21 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an introduction to the principles of the fast Fourier transform. This book covers FFTs, frequency domain filtering, and applications to video and audio signal processing. As fields like communications, speech and image processing, and related areas are rapidly developing, the FFT as one of essential parts in digital signal processing has been widely used. Thus there is a pressing need from instructors and students for a book dealing with the latest FFT topics. This book provides thorough and detailed explanation of important or up-to-date FFTs. It also has adopted modern approaches like MATLAB examples and projects for better understanding of diverse FFTs.

Think DSP

Author : Allen B. Downey
Publisher : "O'Reilly Media, Inc."
ISBN 13 : 149193851X
Total Pages : 168 pages
Book Rating : 4.4/5 (919 download)

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Book Synopsis Think DSP by : Allen B. Downey

Download or read book Think DSP written by Allen B. Downey and published by "O'Reilly Media, Inc.". This book was released on 2016-07-12 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: If you understand basic mathematics and know how to program with Python, you’re ready to dive into signal processing. While most resources start with theory to teach this complex subject, this practical book introduces techniques by showing you how they’re applied in the real world. In the first chapter alone, you’ll be able to decompose a sound into its harmonics, modify the harmonics, and generate new sounds. Author Allen Downey explains techniques such as spectral decomposition, filtering, convolution, and the Fast Fourier Transform. This book also provides exercises and code examples to help you understand the material. You’ll explore: Periodic signals and their spectrums Harmonic structure of simple waveforms Chirps and other sounds whose spectrum changes over time Noise signals and natural sources of noise The autocorrelation function for estimating pitch The discrete cosine transform (DCT) for compression The Fast Fourier Transform for spectral analysis Relating operations in time to filters in the frequency domain Linear time-invariant (LTI) system theory Amplitude modulation (AM) used in radio Other books in this series include Think Stats and Think Bayes, also by Allen Downey.

Digital Signal Processing and Applications with the TMS320C6713 and TMS320C6416 DSK

Author : Rulph Chassaing
Publisher : John Wiley & Sons
ISBN 13 : 1118210344
Total Pages : 612 pages
Book Rating : 4.1/5 (182 download)

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Book Synopsis Digital Signal Processing and Applications with the TMS320C6713 and TMS320C6416 DSK by : Rulph Chassaing

Download or read book Digital Signal Processing and Applications with the TMS320C6713 and TMS320C6416 DSK written by Rulph Chassaing and published by John Wiley & Sons. This book was released on 2011-09-20 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: Digital Signal Processing and Applications with the TMS320C6713 and TMS320C6416 DSK Now in a new edition—the most comprehensive, hands-on introduction to digital signal processing The first edition of Digital Signal Processing and Applications with the TMS320C6713 and TMS320C6416 DSK is widely accepted as the most extensive text available on the hands-on teaching of Digital Signal Processing (DSP). Now, it has been fully updated in this valuable Second Edition to be compatible with the latest version (3.1) of Texas Instruments Code Composer Studio (CCS) development environment. Maintaining the original’s comprehensive, hands-on approach that has made it an instructor’s favorite, this new edition also features: Added program examples that illustrate DSP concepts in real-time and in the laboratory Expanded coverage of analog input and output New material on frame-based processing A revised chapter on IIR, which includes a number of floating-point example programs that explore IIR filters more comprehensively More extensive coverage of DSP/BIOS All programs listed in the text—plus additional applications—which are available on a companion website No other book provides such an extensive or comprehensive set of program examples to aid instructors in teaching DSP in a laboratory using audio frequency signals—making this an ideal text for DSP courses at the senior undergraduate and postgraduate levels. It also serves as a valuable resource for researchers, DSP developers, business managers, and technology solution providers who are looking for an overview and examples of DSP algorithms implemented using the TMS320C6713 and TMS320C6416 DSK.

The Nonuniform Discrete Fourier Transform and Its Applications in Signal Processing

Author : Sonali Bagchi
Publisher : Springer Science & Business Media
ISBN 13 : 1461549256
Total Pages : 216 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis The Nonuniform Discrete Fourier Transform and Its Applications in Signal Processing by : Sonali Bagchi

Download or read book The Nonuniform Discrete Fourier Transform and Its Applications in Signal Processing written by Sonali Bagchi and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: The growth in the field of digital signal processing began with the simulation of continuous-time systems in the 1950s, even though the origin of the field can be traced back to 400 years when methods were developed to solve numerically problems such as interpolation and integration. During the last 40 years, there have been phenomenal advances in the theory and application of digital signal processing. In many applications, the representation of a discrete-time signal or a sys tem in the frequency domain is of interest. To this end, the discrete-time Fourier transform (DTFT) and the z-transform are often used. In the case of a discrete-time signal of finite length, the most widely used frequency-domain representation is the discrete Fourier transform (DFT) which results in a finite length sequence in the frequency domain. The DFT is simply composed of the samples of the DTFT of the sequence at equally spaced frequency points, or equivalently, the samples of its z-transform at equally spaced points on the unit circle. The DFT provides information about the spectral contents of the signal at equally spaced discrete frequency points, and thus, can be used for spectral analysis of signals. Various techniques, commonly known as the fast Fourier transform (FFT) algorithms, have been advanced for the efficient com putation of the DFT. An important tool in digital signal processing is the linear convolution of two finite-length signals, which often can be implemented very efficiently using the DFT.

Fast Fourier Transforms

Author : C. Sidney Burrus
Publisher : Lulu.com
ISBN 13 : 1300461640
Total Pages : 256 pages
Book Rating : 4.3/5 (4 download)

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Book Synopsis Fast Fourier Transforms by : C. Sidney Burrus

Download or read book Fast Fourier Transforms written by C. Sidney Burrus and published by Lulu.com. This book was released on 2012-11-30 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Fast Fourier Transform and Its Applications

Author : E. Oran Brigham
Publisher : Pearson
ISBN 13 :
Total Pages : 474 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Fast Fourier Transform and Its Applications by : E. Oran Brigham

Download or read book The Fast Fourier Transform and Its Applications written by E. Oran Brigham and published by Pearson. This book was released on 1988 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Digital Signal Processing Algorithms

Author : Hari Krishna
Publisher : Routledge
ISBN 13 : 1351454978
Total Pages : 664 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Digital Signal Processing Algorithms by : Hari Krishna

Download or read book Digital Signal Processing Algorithms written by Hari Krishna and published by Routledge. This book was released on 2017-11-22 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Discrete and Continuous Fourier Transforms

Author : Eleanor Chu
Publisher : CRC Press
ISBN 13 : 1000687570
Total Pages : 272 pages
Book Rating : 4.0/5 (6 download)

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Book Synopsis Discrete and Continuous Fourier Transforms by : Eleanor Chu

Download or read book Discrete and Continuous Fourier Transforms written by Eleanor Chu and published by CRC Press. This book was released on 2008-03-19 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

The Fast Fourier Transform

Author : E. Oran Brigham
Publisher : Prentice Hall
ISBN 13 :
Total Pages : 272 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Fast Fourier Transform by : E. Oran Brigham

Download or read book The Fast Fourier Transform written by E. Oran Brigham and published by Prentice Hall. This book was released on 1974 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Digital Signal Processing

Author : Thomas J. Cavicchi
Publisher :
ISBN 13 :
Total Pages : 824 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Digital Signal Processing by : Thomas J. Cavicchi

Download or read book Digital Signal Processing written by Thomas J. Cavicchi and published by . This book was released on 2000 with total page 824 pages. Available in PDF, EPUB and Kindle. Book excerpt: What are the relations between continuous-time and discrete-time/sampled-data systems, signals, and their spectra? How can digital systems be designed to replace existing analog systems? What is the reason for having so many transforms, and how do you know which one to use? What do s and z really means and how are they related? How can you use the fast Fourier transform (FFT) and other digital signal processing (DSP) algorithms to successfully process sampled signals? Inside, you'll find the answers to these and other fundamental questions on DSP. You'll gain a solid understanding of the key principles that will help you compare, select, and properly use existing DSP algorithms for an application. You'll also learn how to create original working algorithms or conceptual insights, design frequency-selective and optimal digital filters, participate in DSP research, and select or construct appropriate hardware implementations. Key Features * MATLAB graphics are integrated throughout the text to help clarify DSP concepts. Complete numerical examples clearly illustrate the practical uses of DSP. * Uniquely detailed coverage of fundamental DSP principles provides the rationales behind definitions, algorithms, and transform properties. * Practical real-world examples combined with a student-friendly writing style enhance the material. * Unexpected results and thought-provoking questions are provided to further spark reader interest. * Over 525 end-of-chapter problems are included, with complete solutions available to the instructor (168 are MATLAB-oriented).

Digital Signal Processing

Author : Kaluri V. Rangarao
Publisher : John Wiley & Sons
ISBN 13 : 0470032871
Total Pages : 210 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Digital Signal Processing by : Kaluri V. Rangarao

Download or read book Digital Signal Processing written by Kaluri V. Rangarao and published by John Wiley & Sons. This book was released on 2006-02-22 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Digital signal processing is essential for improving the accuracy and reliability of a range of engineering systems, including communications, networking, and audio and video applications. Using a combination of programming and mathematical techniques, it clarifies, or standardizes the levels or states of a signal, in order to meet the demands of designing high performance digital hardware. Written by authors with a wealth of practical experience working with digital signal processing, this text is an excellent step-by-step guide for practitioners and researchers needing to understand and quickly implement the technology. Split into six, self-contained chapters, Digital Signal Processing: A Practitioner’s Approach covers: basic principles of signal processing such as linearity, stability, convolution, time and frequency domains, and noise; descriptions of digital filters and their realization, including fixed point implementation, pipelining, and field programmable gate array (FGPA) implementation; Fourier transforms, especially discrete (DFT), and fast Fourier transforms (FFT); case studies demonstrating difference equations, direction of arrival (DoA), and electronic rotating elements, and MATLAB programs to accompany each chapter. A valuable reference for engineers developing digital signal processing applications, this book is also a useful resource for electrical and computer engineering graduates taking courses in signal processing.

Digital Signal Processing 101

Author : Michael Parker
Publisher : Newnes
ISBN 13 : 0128114541
Total Pages : 432 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Digital Signal Processing 101 by : Michael Parker

Download or read book Digital Signal Processing 101 written by Michael Parker and published by Newnes. This book was released on 2017-06-28 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Digital Signal Processing 101: Everything You Need to Know to Get Started provides a basic tutorial on digital signal processing (DSP). Beginning with discussions of numerical representation and complex numbers and exponentials, it goes on to explain difficult concepts such as sampling, aliasing, imaginary numbers, and frequency response. It does so using easy-to-understand examples with minimum mathematics. In addition, there is an overview of the DSP functions and implementation used in several DSP-intensive fields or applications, from error correction to CDMA mobile communication to airborne radar systems. This book has been updated to include the latest developments in Digital Signal Processing, and has eight new chapters on: Automotive Radar Signal Processing Space-Time Adaptive Processing Radar Field Orientated Motor Control Matrix Inversion algorithms GPUs for computing Machine Learning Entropy and Predictive Coding Video compression Features eight new chapters on Automotive Radar Signal Processing, Space-Time Adaptive Processing Radar, Field Orientated Motor Control, Matrix Inversion algorithms, GPUs for computing, Machine Learning, Entropy and Predictive Coding, and Video compression Provides clear examples and a non-mathematical approach to get you up to speed quickly Includes an overview of the DSP functions and implementation used in typical DSP-intensive applications, including error correction, CDMA mobile communication, and radar systems

Understanding Digital Signal Processing

Author : Richard G. Lyons
Publisher : Pearson Education
ISBN 13 : 0137028520
Total Pages : 1225 pages
Book Rating : 4.1/5 (37 download)

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Book Synopsis Understanding Digital Signal Processing by : Richard G. Lyons

Download or read book Understanding Digital Signal Processing written by Richard G. Lyons and published by Pearson Education. This book was released on 2010-11-01 with total page 1225 pages. Available in PDF, EPUB and Kindle. Book excerpt: Amazon.com’s Top-Selling DSP Book for Seven Straight Years—Now Fully Updated! Understanding Digital Signal Processing, Third Edition, is quite simply the best resource for engineers and other technical professionals who want to master and apply today’s latest DSP techniques. Richard G. Lyons has updated and expanded his best-selling second edition to reflect the newest technologies, building on the exceptionally readable coverage that made it the favorite of DSP professionals worldwide. He has also added hands-on problems to every chapter, giving students even more of the practical experience they need to succeed. Comprehensive in scope and clear in approach, this book achieves the perfect balance between theory and practice, keeps math at a tolerable level, and makes DSP exceptionally accessible to beginners without ever oversimplifying it. Readers can thoroughly grasp the basics and quickly move on to more sophisticated techniques. This edition adds extensive new coverage of FIR and IIR filter analysis techniques, digital differentiators, integrators, and matched filters. Lyons has significantly updated and expanded his discussions of multirate processing techniques, which are crucial to modern wireless and satellite communications. He also presents nearly twice as many DSP Tricks as in the second edition—including techniques even seasoned DSP professionals may have overlooked. Coverage includes New homework problems that deepen your understanding and help you apply what you’ve learned Practical, day-to-day DSP implementations and problem-solving throughout Useful new guidance on generalized digital networks, including discrete differentiators, integrators, and matched filters Clear descriptions of statistical measures of signals, variance reduction by averaging, and real-world signal-to-noise ratio (SNR) computation A significantly expanded chapter on sample rate conversion (multirate systems) and associated filtering techniques New guidance on implementing fast convolution, IIR filter scaling, and more Enhanced coverage of analyzing digital filter behavior and performance for diverse communications and biomedical applications Discrete sequences/systems, periodic sampling, DFT, FFT, finite/infinite impulse response filters, quadrature (I/Q) processing, discrete Hilbert transforms, binary number formats, and much more

Mathematics of the Discrete Fourier Transform (DFT)

Author : Julius O. Smith
Publisher : Julius Smith
ISBN 13 : 097456074X
Total Pages : 323 pages
Book Rating : 4.9/5 (745 download)

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Book Synopsis Mathematics of the Discrete Fourier Transform (DFT) by : Julius O. Smith

Download or read book Mathematics of the Discrete Fourier Transform (DFT) written by Julius O. Smith and published by Julius Smith. This book was released on 2008 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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

Digital Signal Processing

Author : Shlomo Engelberg
Publisher : Springer Science & Business Media
ISBN 13 : 1848001193
Total Pages : 212 pages
Book Rating : 4.8/5 (48 download)

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Book Synopsis Digital Signal Processing by : Shlomo Engelberg

Download or read book Digital Signal Processing written by Shlomo Engelberg and published by Springer Science & Business Media. This book was released on 2008-01-08 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: A mathematically rigorous but accessible treatment of digital signal processing that intertwines basic theoretical techniques with hands-on laboratory instruction is provided by this book. The book covers various aspects of the digital signal processing (DSP) "problem". It begins with the analysis of discrete-time signals and explains sampling and the use of the discrete and fast Fourier transforms. The second part of the book — covering digital to analog and analog to digital conversion — provides a practical interlude in the mathematical content before Part III lays out a careful development of the Z-transform and the design and analysis of digital filters.

Fast Fourier Transform and Convolution Algorithms

Author : H.J. Nussbaumer
Publisher : Springer Science & Business Media
ISBN 13 : 3662005514
Total Pages : 260 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Fast Fourier Transform and Convolution Algorithms by : H.J. Nussbaumer

Download or read book Fast Fourier Transform and Convolution Algorithms written by H.J. Nussbaumer and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.