The Nonuniform Discrete Fourier Transform and Its Applications in Signal Processing

The Nonuniform Discrete Fourier Transform and Its Applications in Signal Processing
Title The Nonuniform Discrete Fourier Transform and Its Applications in Signal Processing PDF eBook
Author Sonali Bagchi
Publisher Springer
Pages 208
Release 2011-05-26
Genre Technology & Engineering
ISBN 9781461549260

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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.

The Nonuniform Discrete Fourier Transform and Its Applications in Signal Processing

The Nonuniform Discrete Fourier Transform and Its Applications in Signal Processing
Title The Nonuniform Discrete Fourier Transform and Its Applications in Signal Processing PDF eBook
Author Sonali Bagchi
Publisher
Pages 426
Release 1994
Genre
ISBN

Download The Nonuniform Discrete Fourier Transform and Its Applications in Signal Processing Book in PDF, Epub and Kindle

The Nonuniform Discrete Fourier Transform and Its Applications in Signal Processing

The Nonuniform Discrete Fourier Transform and Its Applications in Signal Processing
Title The Nonuniform Discrete Fourier Transform and Its Applications in Signal Processing PDF eBook
Author Sonali Bagchi
Publisher Springer
Pages 208
Release 2012-10-08
Genre Technology & Engineering
ISBN 9781461372349

Download The Nonuniform Discrete Fourier Transform and Its Applications in Signal Processing Book in PDF, Epub and Kindle

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.

The Nonuniform Discrete Fourier Transform and Its Applications in Signal Processing

The Nonuniform Discrete Fourier Transform and Its Applications in Signal Processing
Title The Nonuniform Discrete Fourier Transform and Its Applications in Signal Processing PDF eBook
Author Sonali Bagchi
Publisher Springer Science & Business Media
Pages 216
Release 2012-12-06
Genre Technology & Engineering
ISBN 1461549256

Download The Nonuniform Discrete Fourier Transform and Its Applications in Signal Processing Book in PDF, Epub and Kindle

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.

Nonuniform Sampling

Nonuniform Sampling
Title Nonuniform Sampling PDF eBook
Author Farokh Marvasti
Publisher Springer Science & Business Media
Pages 938
Release 2012-12-06
Genre Technology & Engineering
ISBN 1461512298

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Our understanding of nature is often through nonuniform observations in space or time. In space, one normally observes the important features of an object, such as edges. The less important features are interpolated. History is a collection of important events that are nonuniformly spaced in time. Historians infer between events (interpolation) and politicians and stock market analysts forecast the future from past and present events (extrapolation). The 20 chapters of Nonuniform Sampling: Theory and Practice contain contributions by leading researchers in nonuniform and Shannon sampling, zero crossing, and interpolation theory. Its practical applications include NMR, seismology, speech and image coding, modulation and coding, optimal content, array processing, and digital filter design. It has a tutorial outlook for practising engineers and advanced students in science, engineering, and mathematics. It is also a useful reference for scientists and engineers working in the areas of medical imaging, geophysics, astronomy, biomedical engineering, computer graphics, digital filter design, speech and video processing, and phased array radar.

Fast Fourier Transform - Algorithms and Applications

Fast Fourier Transform - Algorithms and Applications
Title Fast Fourier Transform - Algorithms and Applications PDF eBook
Author K.R. Rao
Publisher Springer Science & Business Media
Pages 437
Release 2011-02-21
Genre Mathematics
ISBN 1402066295

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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.

Computing, Communication and Signal Processing

Computing, Communication and Signal Processing
Title Computing, Communication and Signal Processing PDF eBook
Author Brijesh Iyer
Publisher Springer
Pages 1005
Release 2018-09-12
Genre Technology & Engineering
ISBN 9811315132

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This book highlights cutting-edge research on various aspects of human–computer interaction (HCI). It includes selected research papers presented at the Third International Conference on Computing, Communication and Signal Processing (ICCASP 2018), organized by Dr. Babasaheb Ambedkar Technological University in Lonere-Raigad, India on January 26–27, 2018. It covers pioneering topics in the field of computer, electrical, and electronics engineering, e.g. signal and image processing, RF and microwave engineering, and emerging technologies such as IoT, cloud computing, HCI, and green computing. As such, the book offers a valuable guide for all scientists, engineers and research students in the areas of engineering and technology.