Work

Geometric View of Aliasing via ℝ/ℤ

Year: 2026

Type: article

Abstract: Samples of a periodic signal at N equally spaced points cannot distinguish frequencies that differ by a multiple of N. This note explains why, using the group ℝ/ℤ: the sampling points form a finite subgroup isomorphic to ℤ/Nℤ, while the distinguishable frequencies form the quotient group ℤ/Nℤ of the integers.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.24044288

Author: Vassilev, Dan

Language: English

Topic: Mathematical Analysis and Transform Methods

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7225466506

FWCI: 2.094

Cites:

Cited by: 1

Related to: 10