A matrix pencil approach to the existence of compactly supported reconstruction functions in average sampling

DOI10.1016/j.laa.2011.05.007zbMath1229.15015OpenAlexW2032122588MaRDI QIDQ636245

G. Pérez-Villalón, Alberto Portal, Antonio G. García, Miguel Ángel Hernández-Medina

Publication date: 26 August 2011

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2011.05.007

zbMATH Keywords

convolution operatormatrix pencilsKronecker canonical formaverage samplinglinear time invariant systemsSmith canonical formoversampling techniquereconstruction functionssampling in shift-invariant spaces

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) General harmonic expansions, frames (42C15) Canonical forms, reductions, classification (15A21) Sampling theory in information and communication theory (94A20) Matrix pencils (15A22)

Cites Work

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• Oversampling and reconstruction functions with compact support
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• The generalized eigenstructure problem in linear system theory
• On the determination of the Smith-Macmillan form of a rational matrix from its Laurent expansion
• The generalized Schur decomposition of an arbitrary pencil A–λB—robust software with error bounds and applications. Part I
• The generalized Schur decomposition of an arbitrary pencil A–λB—robust software with error bounds and applications. Part II
• Oversampling in Shift-Invariant Spaces With a Rational Sampling Period
• An introduction to frames and Riesz bases

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