The Nonuniform Discrete Fourier Transform and Its Applications in Signal Processing

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Release : 2011-05-26
Genre : Technology & Engineering
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Book Rating : 260/5 ( reviews)

The Nonuniform Discrete Fourier Transform and Its Applications in Signal Processing - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Nonuniform Discrete Fourier Transform and Its Applications in Signal Processing write by Sonali Bagchi. This book was released on 2011-05-26. The Nonuniform Discrete Fourier Transform and Its Applications in Signal Processing available 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

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Author :
Release : 2012-12-06
Genre : Technology & Engineering
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Book Rating : 256/5 ( reviews)

The Nonuniform Discrete Fourier Transform and Its Applications in Signal Processing - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Nonuniform Discrete Fourier Transform and Its Applications in Signal Processing write by Sonali Bagchi. This book was released on 2012-12-06. The Nonuniform Discrete Fourier Transform and Its Applications in Signal Processing available 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

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Author :
Release : 1994
Genre :
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Book Rating : /5 ( reviews)

The Nonuniform Discrete Fourier Transform and Its Applications in Signal Processing - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Nonuniform Discrete Fourier Transform and Its Applications in Signal Processing write by Sonali Bagchi. This book was released on 1994. The Nonuniform Discrete Fourier Transform and Its Applications in Signal Processing available in PDF, EPUB and Kindle.

Nonuniform Sampling

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Release : 2012-12-06
Genre : Technology & Engineering
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Book Rating : 298/5 ( reviews)

Nonuniform Sampling - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nonuniform Sampling write by Farokh Marvasti. This book was released on 2012-12-06. Nonuniform Sampling available in PDF, EPUB and Kindle. 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.

Lectures on the Fourier Transform and Its Applications

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Release : 2019-01-18
Genre : Fourier transformations
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Book Rating : 918/5 ( reviews)

Lectures on the Fourier Transform and Its Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lectures on the Fourier Transform and Its Applications write by Brad G. Osgood. This book was released on 2019-01-18. Lectures on the Fourier Transform and Its Applications available in PDF, EPUB and Kindle. This book is derived from lecture notes for a course on Fourier analysis for engineering and science students at the advanced undergraduate or beginning graduate level. Beyond teaching specific topics and techniques—all of which are important in many areas of engineering and science—the author's goal is to help engineering and science students cultivate more advanced mathematical know-how and increase confidence in learning and using mathematics, as well as appreciate the coherence of the subject. He promises the readers a little magic on every page. The section headings are all recognizable to mathematicians, but the arrangement and emphasis are directed toward students from other disciplines. The material also serves as a foundation for advanced courses in signal processing and imaging. There are over 200 problems, many of which are oriented to applications, and a number use standard software. An unusual feature for courses meant for engineers is a more detailed and accessible treatment of distributions and the generalized Fourier transform. There is also more coverage of higher-dimensional phenomena than is found in most books at this level.