Work

Discrete Sampling and Interpolation: Universal Sampling Sets for Discrete Bandlimited Spaces

Year: 2012

Type: article

Abstract: We study the problem of interpolating all values of a discrete signal f of length N when dJ. The sampling pattern for f is specified by an index set I, and is said to be a universal sampling set if samples in the locations I can be used to interpolate signals from BJfor any J. When N is a prime power we give several characterizations of universal sampling sets, some structure theorems for such sets, an algorithm for their construction, and a formula that counts them. There are also natural applications to additive uncertainty principles.

Source: IEEE Transactions on Information Theory

DOI: 10.1109/tit.2012.2193871

Authors: Brad Osgood, Aditya Siripuram, William Wu

Institutions: Stanford University, Jet Propulsion Laboratory

Language: English

Topic: Mathematical Analysis and Transform Methods

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2038583166

FWCI: 1.596

Cites: 22

Cited by: 13

Related to: 10