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.

Inhalt

1. Introduction; F. Marvasti. 2. An Introduction to Sampling Analysis; P.L. Butzer, et al. 3. Lagrange Interpolation and Sampling Theorems; A.I. Zayed, P.L. Butzer. 4. Random Topics in Nonuniform Sampling; F. Marvasti. 5. Iterative and Noniterative Recovery of Missing Samples for 1-{D} Band-Limited Signals; P.J.S.G. Ferreira. 6. Numerical and Theoretical Aspects of Nonuniform Sampling of Band-Limited Images; K. Gröchenig, T. Strohmer. 7. The Nonuniform Discrete Fourier Transform; S. Bagchi, S.K. Mitra. 8. Reconstruction of Stationary Processes Sampled at Random Times; B. Lacaze. 9. Zero Crossings of Random Processes with Application to Estimation and Detection; J. Barnett. 10. Magnetic Resonance Image Reconstruction from Nonuniformly Sampled k-Space Data; F.T.A.W. Wajer, et al. 11. Irregular and Sparse Sampling in Exploration Seismology; A.J.W. Duijndam, et al. 12. Randomized Digital Optimal Control; W.L. de Koning, L.G. van Willigenburg. 13. Prediction of Band-Limited Signals from Past Samples and Applications to Speech Coding; D.H. Muler, Y. Wu. 14. Frames, Irregular Sampling, and a Wavelet Auditory Model; J.J. Benedetto, S. Scott. 15. Application of the Nonuniform Sampling to Motion Compensated Prediction; A. Sharif, et al. 16. Applications of Nonuniform Sampling to Nonlinear Modulation, A/D and D/A Techniques; F. Marvasti, M. Sandler. 17. Applications to Error Correction Codes; F. Marvasti. 18. Application of Nonuniform Sampling to Error Concealment; M. Hasan, F. Marvasti. 19. Sparse Sampling in Array Processing; S. Holm, et al. 20. Fractional Delay Filters: Design and Applications; V. Välimäki, T.I. Laakso.