Directional Heisenberg uncertainty product
A. Krivoshein, E. Lebedeva, E. Neiman, J. Prestin
TL;DR
This paper introduces a directional time-frequency localization measure for functions in multi-dimensional space, linking it to periodic cases and solving an optimization problem for optimal localization directions.
Contribution
It presents a new directional localization measure and solves an optimization problem to identify the best or worst localized directions for certain functions.
Findings
Established a connection between directional and periodic localization measures.
Solved an optimization problem for optimal localization directions.
Provided insights into directional time-frequency analysis.
Abstract
A directional time-frequency localization measure for functions defined on the -dimensional Euclidean space is introduced. A connection between this measure and its periodic counterpart is established. For a class of functions, an optimization problem for finding the optimal direction, along which a function is best or worst localized, is solved.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMathematical Analysis and Transform Methods · Image and Signal Denoising Methods · Underwater Acoustics Research