Work

The commutativity of up/downsampling in two dimensions

Year: 1991

Type: article

Abstract: The authors state and prove a theorem solving the problem of commutativity in two dimensions. It is shown under which conditions upsampling and downsampling can be interchanged in two dimensions. This is the generalization to arbitrary two-dimensional lattices of the result that one-dimensional upsampling and downsampling commute if and only if their sampling rates are coprime. Some illustrative examples are given. The result holds for arbitrary sampling lattices.>

Source: IEEE Transactions on Information Theory

DOI: 10.1109/18.79936

Authors: J. Kovacevic, M. Vetterli

Institution: Columbia University

Language: English

Topic: Mathematical Analysis and Transform Methods

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2158546817

FWCI: 6.042

Cites: 6

Cited by: 29

Related to: 10