Published December 2006
| Version v1
Journal article
Uncertainty principle for Gabor systems and the Zak transform
Creators
- 1. Institute of Mathematics, University of Wrodaw, Plac Grunwaldzki 2/4, 50-384 Wrodaw (Poland)
Description
We show that if g(set-membership sign)L2(R) is a generator of a Gabor orthonormal basis with the lattice ZxZ, then its Zak transform Z(g) satisfies ∇Z(g)(negated-set-membership sign)L2([0,1)2). This is a generalization and extension of the Balian-Low uncertainty principle
Additional details
Identifiers
- DOI
- 10.1063/1.2393146;
Publishing Information
- Journal Title
- Journal of Mathematical Physics
- Journal Volume
- 47
- Journal Issue
- 12
- Journal Page Range
- p. 123507-123507.7
- ISSN
- 0022-2488
- CODEN
- JMAPAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 38024528
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- FOURIER TRANSFORMATION; LATTICE FIELD THEORY; MATHEMATICAL LOGIC; SET THEORY; UNCERTAINTY PRINCIPLE
- Descriptors DEC
- CONSTRUCTIVE FIELD THEORY; FIELD THEORIES; INTEGRAL TRANSFORMATIONS; MATHEMATICS; QUANTUM FIELD THEORY; TRANSFORMATIONS
Optional Information
- Notes
- (c) 2006 American Institute of Physics