Modern Sampling Theory: Mathematics and Applications Book

	Preface
	Contributors
1	Introduction	1
2	On the Transmission Capacity of the "Ether" and Wire in Electrocommunications	27
I	Sampling, Wavelets, and the Uncertainty Principle	47
3	Wavelets and Sampling	49
4	Embeddings and Uncertainty Principles for Generalized Modulation Spaces	73
5	Sampling Theory for Certain Hilbert Spaces of Bandlimited Functions	107
6	Shannon-Type Wavelets and the Convergence of Their Associated Wavelet Series	135
II	Sampling Topics from Mathematical Analysis	153
7	Non-Uniform Sampling in Higher Dimensions: From Trigonometric Polynomials to Bandlimited Functions	155
8	The Analysis of Oscillatory Behavior in Signals Through Their Samples	173
9	Residue and Sampling Techniques in Deconvolution	193
10	Sampling Theorems from the Iteration of Low Order Differential Operators	219
11	Approximation of Continuous Functions by Rogosinski-Type Sampling Series	229
III	Sampling Tools and Applications	245
12	Fast Fourier Transforms for Nonequispaced Data: A Tutorial	247
13	Efficient Minimum Rate Sampling of Signals with Frequency Support over Non-Commensurable Sets	271
14	Finite- and Infinite-Dimensional Models for Oversampled Filter Banks	293
15	Statistical Aspects of Sampling for Noisy and Grouped Data	317
16	Reconstruction of MRI Images from Non-Uniform Sampling and Its Application to Intrascan Motion Correction in Functional MRI	343
17	Efficient Sampling of the Rotation Invariant Radon Transform	365
	References	379
	Index	414