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dc.contributor.author
Massey, Pedro Gustavo
dc.contributor.author
Ruiz, Mariano Andres
dc.date.available
2020-07-27T13:48:55Z
dc.date.issued
2008-01
dc.identifier.citation
Massey, Pedro Gustavo; Ruiz, Mariano Andres; Tight frame completions with prescribed norms; Sampling Publishing ; Sampling Theory in Signal and Image Processing; 7; 1; 1-2008; 1-13
dc.identifier.issn
1530-6429
dc.identifier.uri
http://hdl.handle.net/11336/110304
dc.description.abstract
Let H be a finite dimensional (real or complex) Hilbert space and let {a_i} ∞_i=1. be a non-increasing sequence of positive numbers. Given a finite sequence of vectors F = {f_i}p_i=1 in H we find necessary and sufficient conditions for the existence of r ∈ N U {∞} and a Bessel sequence G = {g_i}r_i=1 in H such that F U G is a tight frame for H and || g_i ||^2 = a_i for every i. Moreover, in this case we compute the minimum r in NU {∞} with this property. We also describe algorithms that perform completions of a given set of vectors to tight frames.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Sampling Publishing
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
FRAME
dc.subject
TIGHT FRAME COMPLETIONS
dc.subject
MAJORIZATION
dc.subject.classification
Otras Matemáticas
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Tight frame completions with prescribed norms
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2020-04-28T16:13:59Z
dc.journal.volume
7
dc.journal.number
1
dc.journal.pagination
1-13
dc.journal.pais
Estados Unidos
dc.description.fil
Fil: Massey, Pedro Gustavo. Universidad Nacional de La Plata; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina
dc.description.fil
Fil: Ruiz, Mariano Andres. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina. Universidad Nacional de La Plata; Argentina
dc.journal.title
Sampling Theory in Signal and Image Processing
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://stsip.org/
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