The Sparse Fourier Transform

Author:   Haitham Hassanieh
Publisher:   Morgan & Claypool Publishers
ISBN:  

9781947487048


Pages:   279
Publication Date:   28 February 2018
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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The Sparse Fourier Transform


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Overview

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.

Full Product Details

Author:   Haitham Hassanieh
Publisher:   Morgan & Claypool Publishers
Imprint:   Morgan & Claypool Publishers
Dimensions:   Width: 19.10cm , Height: 1.50cm , Length: 23.50cm
Weight:   0.525kg
ISBN:  

9781947487048


ISBN 10:   1947487043
Pages:   279
Publication Date:   28 February 2018
Audience:   General/trade ,  General
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Preface 1. Introduction PART I: THEORY OF THE SPARSE FOURIER TRANSFORM 2. Preliminaries 3. Simple and Practical Algorithm 4. Optimizing Runtime Complexity 5. Optimizing Sample Complexity 6. Numerical Evaluation PART II: APPLICATIONS OF THE SPARSE FOURIER TRANSFORM 7. GHz-Wide Spectrum Sensing and Decoding 8. Faster GPS Synchronization 9. Light Field Reconstruction Using Continuous Fourier Sparsity 10. Fast In-Vivo MRS Acquisition with Artifact Suppression 11. Fast Multi-Dimensional NMR Acquisition and Processing 12. Conclusion

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Author Information

Haitham Hassanieh is an assistant professor in the Electrical and Computer Engineering and Computer Science departments at the University of Illinois at Urbana Champaign. He received his bachelor's in Computer and Communications Engineering from the American University of Beirut in 2009. He received his M.S. and Ph.D. in Electrical Engineering and Computer Science from the Massachusetts Institute of Technology in 2011 and 2016, respectively. He works on wireless networks, sensing systems, and algorithms. He has won multiple awards including the 2017 MobiSys Best Paper Award, the 2011 SIGCOMM Best Paper Award, the Sprowls award for best thesis in computer science at MIT, the TR10 award for Technology Review Top 10 Breakthrough Technologies, and the ACM Doctoral Dissertation Award.

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