IAM   02674
INSTITUTO ARGENTINO DE MATEMATICA ALBERTO CALDERON
Unidad Ejecutora - UE
artículos
Título:
Robust dual reconstruction systems and fusion frames
Autor/es:
P. MASSEY; M. RUIZ; D. STOJANOFF
Revista:
ACTA APPLICANDAE MATHEMATICAE
Editorial:
SPRINGER
Referencias:
Año: 2012 vol. 119 p. 167 - 167
ISSN:
0167-8019
Resumen:
We study the duality of reconstruction systems, which are g-frames in a nite dimensional setting. These systems allow redundant linear encoding-decoding schemes implemented by the so-called dual reconstruction systems. We are particularly interested in the projective reconstruction systems that are the analogue of fusion frames in this context. Thus, we focus on dual systems of a xed projective system that are optimal with respect to erasures of the reconstruction system coecients involved in the decoding process. We consider two di erent measures of the reconstruction error in a blind reconstruction algorithm. We also study the projective reconstruction system that best approximate an arbitrary reconstruction system, based on some well known results in matrix theory. Finally, we present a family of examples in which the problem of existence of a dual projective system of a reconstruction system of this type is considered.