A unified view of the area of sparse signal processing is presented in tutorial form by
bringing together various fields in which the property of sparsity has been successfully …

Nonuniform Sampling Page 1 4 Nonuniform Sampling Farokh Marvasti 4.1 Preliminary
Discussions In this chapter we present an overview of the theory of nonuniform sampling …

Advances in Shannon's Sampling Theory provides an up-to-date discussion of sampling
theory, emphasizing the interaction between sampling theory and other branches of …

Nonuniform sampling of images is a useful technique in computer graphics, because a
properly designed pattern of samples can make aliasing take the form of high-frequency …

This chapter presents methods for the reconstruction of band-limited functions from irregular
samples. The first part discusses algorithms for a constructive solution of the irregular …

A constructive solution of the irregular sampling problem for band-limited functions is given.
We show how a band-limited function can be completely reconstructed from any random …

We present a new``second generation" reconstruction algorithm for irregular sampling, i\@.
e\@. for the problem of recovering a band-limited function from its non-uniformly sampled …

Advanced Topics in Shannon Sampling and Interpolation Theory is the second volume of a
textbook on signal analysis solely devoted to the topic of sampling and restoration of …

An iterative method for recovering a bandlimited signal from its ideal nonuniform samples is
proposed. The convergence of iterations is proved, and general regions for the convergence …

This paper describes a real analysis approach to the problem of complete reconstruction of
a band-limited, multivariate function f from irregularly spaced sampling values (f(x_i))_i∈I …