Издательство Kluwer, 2001, -924 pp.
Man’s 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, similar to stock market analysts, forecast the future from past and present events (extrapolation). This fact can be generalized to other realms of human endeavor. Indeed most readers of this book may read the introduction, the conclusion, and possibly a few sections of a few chapters of this book and then try to figure out the rest by interpolation!
Introduction.
An Introduction to Sampling Analysis.
Lagrange Interpolation and Sampling Theorems.
Random Topics in Nonuniform Sampling.
Iterative and Noniterative Recovery of Missing Samples for I-D Band-Limited Signals.
Numerical and Theoretical Aspects of Nonuniform Sampling of Band-Limited Images.
The Nonuniform Discrete Fourier Transform.
Reconstruction of Stationary Processes Sampled at Random Times.
Zero-Crossings of Random Processes with Application to Estimation and Detection.
Magnetic Resonance Image Reconstruction from Nonuniformly Sampled k-Space Data.
Irregular and Sparse Sampling in Exploration Seismology.
Randomized Digital Optimal Control.
Prediction of Band-Limited Signals from Past Samples and Applications to Speech Coding.
Frames, Irregular Sampling, and a Wavelet Auditory Model.
Application of the Nonuniform Sampling to Motion Compensated Prediction for Video Compression.
Applications of Nonuniform Sampling to Nonlinear Modulation, A/D and D/A Techniques.
Applications to Error Correction Codes.
Application of Nonuniform Sampling to Error Concealment.
Sparse Sampling in Array Processing.
Fractional Delay Filters-Design and Applications.
Man’s 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, similar to stock market analysts, forecast the future from past and present events (extrapolation). This fact can be generalized to other realms of human endeavor. Indeed most readers of this book may read the introduction, the conclusion, and possibly a few sections of a few chapters of this book and then try to figure out the rest by interpolation!
Introduction.
An Introduction to Sampling Analysis.
Lagrange Interpolation and Sampling Theorems.
Random Topics in Nonuniform Sampling.
Iterative and Noniterative Recovery of Missing Samples for I-D Band-Limited Signals.
Numerical and Theoretical Aspects of Nonuniform Sampling of Band-Limited Images.
The Nonuniform Discrete Fourier Transform.
Reconstruction of Stationary Processes Sampled at Random Times.
Zero-Crossings of Random Processes with Application to Estimation and Detection.
Magnetic Resonance Image Reconstruction from Nonuniformly Sampled k-Space Data.
Irregular and Sparse Sampling in Exploration Seismology.
Randomized Digital Optimal Control.
Prediction of Band-Limited Signals from Past Samples and Applications to Speech Coding.
Frames, Irregular Sampling, and a Wavelet Auditory Model.
Application of the Nonuniform Sampling to Motion Compensated Prediction for Video Compression.
Applications of Nonuniform Sampling to Nonlinear Modulation, A/D and D/A Techniques.
Applications to Error Correction Codes.
Application of Nonuniform Sampling to Error Concealment.
Sparse Sampling in Array Processing.
Fractional Delay Filters-Design and Applications.