- Title
- Spatio-spectral limiting on redundant cubes: a case study
- Creator
- Hogan, Jeffrey A.; Lakey, Joseph D.
- Relation
- Excursions in Harmonic Analysis, Volume 6 p. 97-115
- Relation
- Applied and Numerical Harmonic Analysis
- Publisher Link
- http://dx.doi.org/10.1007/978-3-030-69637-5_6
- Publisher
- Springer
- Resource Type
- book chapter
- Date
- 2021
- Description
- The operator that first truncates to a neighborhood of the origin in the spatial domain then truncates to a neighborhood of zero in the spectral domain is investigated in the case of redundant cubes—Boolean cubes with added generators. This operator is self-adjoint on a space of spectrum-limited signals. Certain invariant subspaces of this iterated projection operator, in which eigenspaces lie, are studied for a specific example. These observations suggest a general structure of eigenspaces of spatio–spectral limiting on redundant cubes.
- Subject
- spatial domain; spectral domain; boolean cubes; spectrum limited signals
- Identifier
- http://hdl.handle.net/1959.13/1435041
- Identifier
- uon:39589
- Identifier
- ISBN:9783030696375
- Language
- eng
- Hits: 358
- Visitors: 355
- Downloads: 1