Nonuniform Sampling

1. Front Matter

   Pages i-xxvi

   PDF

2. Introduction

   • F. Marvasti

   Pages 1-15

3. An Introduction to Sampling Analysis

   • P. L. Butzer, G. Schmeisser, R. L. Stens

   Pages 17-121

4. Lagrange Interpolation and Sampling Theorems

   • A. I. Zayed, P. L. Butzer

   Pages 123-168

5. Random Topics in Nonuniform Sampling

   • F. Marvasti

   Pages 169-234

6. Iterative and Noniterative Recovery of Missing Samples for 1-D Band-Limited Signals

   • P. J. S. G. Ferreira

   Pages 235-281

7. Numerical and Theoretical Aspects of Nonuniform Sampling of Band-Limited Images

   • K. Gröchenig, T. Strohmer

   Pages 283-324

8. The Nonuniform Discrete Fourier Transform

   • S. Bagchi, S. K. Mitra

   Pages 325-360

9. Reconstruction of Stationary Processes Sampled at Random Times

   • B. Lacaze

   Pages 361-391

10. Zero-Crossings of Random Processes with Application to Estimation and Detection

    • J. T. Barnett

    Pages 393-437

11. Magnetic Resonance Image Reconstruction from Nonuniformly Sampled k-space Data

    • F. T. A. W. Wajer, G. H. L. A. Stijnman, M. Bourgeois, D. Graveron-Demilly, D. van Ormondt

    Pages 439-478

12. Irregular and Sparse Sampling in Exploration Seismology

    • A. J. W. Duijndam, M. A. Schonewille, C. O. H. Hindriks

    Pages 479-518

13. Randomized Digital Optimal Control

    • W. L. De Koning, L. G. van Willigenburg

    Pages 519-542

14. Prediction of Band-Limited Signals from Past Samples and Applications to Speech Coding

    • D. H. Mugler, Y. Wu

    Pages 543-584

15. Frames, Irregular Sampling, and a Wavelet Auditory Model

    • J. J. Benedetto, S. Scott

    Pages 585-617

16. Application of the Nonuniform Sampling to Motion Compensated Prediction for Video Compression

    • A. Sharaf, F. Marvasti, M. Hasan

    Pages 619-646

17. Applications of Nonuniform Sampling to Nonlinear Modulation, A/D and D/A Techniques

    • F. Marvasti, M. Sandler

    Pages 647-687

18. Applications to Error Correction Codes

    • F. Marvasti

    Pages 689-737

19. Application of Nonuniform Sampling to Error Concealment

    • M. Hasan, F. Marvasti

    Pages 739-785

20. Sparse Sampling in Array Processing

    • S. Holm, A. Austeng, K. Iranpour, J.-F. Hopperstad

    Pages 787-833

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.

• Analysis
• Modulation
• Radar
• Shannon
• biomedical engineering
• computer
• computer graphics
• discrete Fourier transform
• filter

• King’s College, London, UK

  Farokh Marvasti

• Sharif College of Technology, Tehran, Iran

  Farokh Marvasti

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