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The Sparse Fourier Transform. Haitham HassaniehЧитать онлайн книгу.

The Sparse Fourier Transform - Haitham Hassanieh


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rel="nofollow" href="#ud23703f4-eb16-5e47-896c-a6cab083b401">Chapter 2

      10.1145/3166186.3166190 Chapter 3

      10.1145/3166186.3166191 Chapter 4

      10.1145/3166186.3166192 Chapter 5

      10.1145/3166186.3166193 Chapter 6

      10.1145/3166186.3166194 Chapter 7

      10.1145/3166186.3166195 Chapter 8

      10.1145/3166186.3166196 Chapter 9

      10.1145/3166186.3166197 Chapter 10

      10.1145/3166186.3166198 Chapter 11

      10.1145/3166186.3166199 Chapter 12

      10.1145/3166186.3166200 Appendices

      10.1145/3166186.3166201 References

      A publication in the ACM Books series, #19

      Editor in Chief: M. Tamer Özsu, University of Waterloo

      First Edition

      10 9 8 7 6 5 4 3 2 1

       To Maha and Nadima Hassanieh

       Contents

Preface
Chapter 1Introduction
1.1 Sparse Fourier Transform Algorithms
1.2 Applications of the Sparse Fourier Transform
1.3 Book Overview
PART ITHEORY OF THE SPARSE FOURIER TRANSFORM
Chapter 2Preliminaries
2.1 Notation
2.2 Basics
Chapter 3Simple and Practical Algorithm
3.1 Introduction
3.2 Algorithm
Chapter 4Optimizing Runtime Complexity
4.1 Introduction
4.2 Algorithm for the Exactly Sparse Case
4.3 Algorithm for the General Case
4.4 Extension to Two Dimensions
Chapter 5Optimizing Sample Complexity
5.1 Introduction
5.2 Algorithm for the Exactly Sparse Case
5.3 Algorithm for the General Case
Chapter 6Numerical Evaluation
6.1 Implementation
6.2 Experimental Setup
6.3 Numerical Results
PART IIAPPLICATIONS OF THE SPARSE FOURIER TRANSFORM
Chapter 7GHz-Wide Spectrum Sensing and Decoding
7.1 Introduction
7.2 Related Work
7.3 BigBand
7.4 Channel Estimation and Calibration
7.5 Differential Sensing of Non-Sparse Spectrum
7.6 A USRP-Based Implementation
7.7 BigBand’s Spectrum Sensing Results
7.8 BigBand’s Decoding Results
7.9 D-BigBand’s Sensing Results
7.10 Conclusion
Chapter 8Faster GPS Synchronization
8.1 Introduction
8.2 GPS Primer
8.3 QuickSync
8.4 Theoretical Guarantees
8.5 Doppler Shift and Frequency Offset
8.6 Testing Environment
8.7 Results
8.8 Related Work
8.9 Conclusion
Chapter 9Light Field Reconstruction Using Continuous Fourier Sparsity
9.1 Introduction
9.2 Related Work
9.3 Sparsity in the Discrete vs. Continuous Fourier Domain
9.4 Light Field Notation
9.5 Light Field Reconstruction Algorithm
9.6 Experiments
9.7 Results
9.8 Discussion
9.9 Conclusion
Chapter 10Fast In-Vivo MRS Acquisition with Artifact Suppression
10.1 Introduction
10.2 MRS-SFT
10.3 Methods
10.4 MRS Results
10.5 Conclusion
Chapter 11Fast Multi-Dimensional NMR Acquisition and Processing
11.1 Introduction
11.2 Multi-Dimensional Sparse Fourier Transform
11.3 Materials and Methods
11.4 Results
11.5 Discussion
11.6 Conclusion
Chapter 12Conclusion
12.1 Future Directions
Appendix AProofs
Appendix BThe Optimality of the Exactly k-Sparse Algorithm 4.1
Appendix CLower Bound of the Sparse Fourier Transform
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