The Fractional Fourier Transform - 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 Fractional Fourier Transform write by Haldun M. Ozaktas. This book was released on 2001-02-08. The Fractional Fourier Transform available in PDF, EPUB and Kindle. The discovery of the Fractional Fourier Transform and its role in optics and data management provides an elegant mathematical framework within which to discuss diffraction and other fundamental aspects of optical systems. This book explains how the fractional Fourier transform has allowed the generalization of the Fourier transform and the notion of the frequency transform. It will serve as the standard reference on Fourier transforms for many years to come.
Fractional Fourier Transform Techniques for Speech Enhancement
Fractional Fourier Transform Techniques for Speech Enhancement - 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 Fractional Fourier Transform Techniques for Speech Enhancement write by Prajna Kunche. This book was released on 2020-04-16. Fractional Fourier Transform Techniques for Speech Enhancement available in PDF, EPUB and Kindle. This book explains speech enhancement in the Fractional Fourier Transform (FRFT) domain and investigates the use of different FRFT algorithms in both single channel and multi-channel enhancement systems, which has proven to be an ideal time frequency analysis tool in many speech signal processing applications. The authors discuss the complexities involved in the highly non- stationary signal processing and the concepts of FRFT for speech enhancement applications. The book explains the fundamentals of FRFT as well as its implementation in speech enhancement. Theories of different FRFT methods are also discussed. The book lets readers understand the new fractional domains to prepare them to develop new algorithms. A comprehensive literature survey regarding the topic is also made available to the reader.
The Sparse Fourier Transform
The Sparse Fourier Transform - 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 Sparse Fourier Transform write by Haitham Hassanieh. This book was released on 2018-02-27. The Sparse Fourier Transform available in PDF, EPUB and Kindle. The Fourier transform is one of the most fundamental tools for computing the frequency representation of signals. It plays a central role in signal processing, communications, audio and video compression, medical imaging, genomics, astronomy, as well as many other areas. Because of its widespread use, fast algorithms for computing the Fourier transform can benefit a large number of applications. The fastest algorithm for computing the Fourier transform is the Fast Fourier Transform (FFT), which runs in near-linear time making it an indispensable tool for many applications. However, today, the runtime of the FFT algorithm is no longer fast enough especially for big data problems where each dataset can be few terabytes. Hence, faster algorithms that run in sublinear time, i.e., do not even sample all the data points, have become necessary. This book addresses the above problem by developing the Sparse Fourier Transform algorithms and building practical systems that use these algorithms to solve key problems in six different applications: wireless networks; mobile systems; computer graphics; medical imaging; biochemistry; and digital circuits. This is a revised version of the thesis that won the 2016 ACM Doctoral Dissertation Award.
Linear Canonical Transforms
Linear Canonical Transforms - 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 Linear Canonical Transforms write by John J. Healy. This book was released on 2015-11-26. Linear Canonical Transforms available in PDF, EPUB and Kindle. This book provides a clear and accessible introduction to the essential mathematical foundations of linear canonical transforms from a signals and systems perspective. Substantial attention is devoted to how these transforms relate to optical systems and wave propagation. There is extensive coverage of sampling theory and fast algorithms for numerically approximating the family of transforms. Chapters on topics ranging from digital holography to speckle metrology provide a window on the wide range of applications. This volume will serve as a reference for researchers in the fields of image and signal processing, wave propagation, optical information processing and holography, optical system design and modeling, and quantum optics. It will be of use to graduate students in physics and engineering, as well as for scientists in other areas seeking to learn more about this important yet relatively unfamiliar class of integral transformations.
Fractional Processes and Fractional-Order Signal Processing
Fractional Processes and Fractional-Order 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 Fractional Processes and Fractional-Order Signal Processing write by Hu Sheng. This book was released on 2011-10-20. Fractional Processes and Fractional-Order Signal Processing available in PDF, EPUB and Kindle. Fractional processes are widely found in science, technology and engineering systems. In Fractional Processes and Fractional-order Signal Processing, some complex random signals, characterized by the presence of a heavy-tailed distribution or non-negligible dependence between distant observations (local and long memory), are introduced and examined from the ‘fractional’ perspective using simulation, fractional-order modeling and filtering and realization of fractional-order systems. These fractional-order signal processing (FOSP) techniques are based on fractional calculus, the fractional Fourier transform and fractional lower-order moments. Fractional Processes and Fractional-order Signal Processing: presents fractional processes of fixed, variable and distributed order studied as the output of fractional-order differential systems; introduces FOSP techniques and the fractional signals and fractional systems point of view; details real-world-application examples of FOSP techniques to demonstrate their utility; and provides important background material on Mittag–Leffler functions, the use of numerical inverse Laplace transform algorithms and supporting MATLAB® codes together with a helpful survey of relevant webpages. Readers will be able to use the techniques presented to re-examine their signals and signal-processing methods. This text offers an extended toolbox for complex signals from diverse fields in science and engineering. It will give academic researchers and practitioners a novel insight into the complex random signals characterized by fractional properties, and some powerful tools to analyze those signals.
