Generalized sampling in shift invariant spaces with frames

Acta Mathematica Sinica English Series ◽

10.1007/s10114-012-1235-4 ◽

2012 ◽

Vol 28 (9) ◽

pp. 1823-1844 ◽

Author(s):

Stefan Ericsson

Keyword(s):

Generalized Sampling ◽

Shift Invariant Spaces ◽

Invariant Spaces

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Dual frames in L2(0,1) connected with generalized sampling in shift-invariant spaces

Applied and Computational Harmonic Analysis ◽

10.1016/j.acha.2005.10.001 ◽

2006 ◽

Vol 20 (3) ◽

pp. 422-433 ◽

Author(s):

A.G. García ◽

G. Pérez-Villalón

Keyword(s):

Dual Frames ◽

Generalized Sampling ◽

Shift Invariant Spaces ◽

Invariant Spaces

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Approximation from shift-invariant spaces by generalized sampling formulas

Applied and Computational Harmonic Analysis ◽

10.1016/j.acha.2007.06.002 ◽

2008 ◽

Vol 24 (1) ◽

pp. 58-69 ◽

Author(s):

Antonio G. García ◽

Gerardo Pérez-Villalón

Keyword(s):

Generalized Sampling ◽

Shift Invariant Spaces ◽

Invariant Spaces

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A generalized sampling model in shift-invariant spaces associated with fractional Fourier transform

Signal Processing ◽

10.1016/j.sigpro.2017.11.009 ◽

2018 ◽

Vol 145 ◽

pp. 1-11 ◽

Author(s):

Haoran Zhao ◽

Liyan Qiao ◽

Ning Fu ◽

Guoxing Huang

Keyword(s):

Fourier Transform ◽

Fractional Fourier Transform ◽

Generalized Sampling ◽

Shift Invariant Spaces ◽

Invariant Spaces

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Multivariate generalized sampling in shift-invariant spaces and its approximation properties

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2009.01.057 ◽

2009 ◽

Vol 355 (1) ◽

pp. 397-413 ◽

Author(s):

Antonio G. García ◽

Gerardo Pérez-Villalón

Keyword(s):

Approximation Properties ◽

Generalized Sampling ◽

Shift Invariant Spaces ◽

Invariant Spaces

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Generalized sampling in shift-invariant spaces with multiple stable generators

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2007.03.083 ◽

2008 ◽

Vol 337 (1) ◽

pp. 69-84 ◽

Author(s):

A.G. García ◽

M.A. Hernández-Medina ◽

G. Pérez-Villalón

Keyword(s):

Generalized Sampling ◽

Shift Invariant Spaces ◽

Invariant Spaces

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On the Truncation Error of Generalized Sampling Expansions in Shift-Invariant Spaces

Sampling Theory, Signal Processing, and Data Analysis ◽

10.1007/bf03549463 ◽

2007 ◽

Vol 6 (1) ◽

pp. 53-69

Author(s):

Antonio G. García ◽

G. Pérez-Villalón

Keyword(s):

Truncation Error ◽

Generalized Sampling ◽

Shift Invariant Spaces ◽

Invariant Spaces ◽

Sampling Expansions

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Sub-Nyquist Sampling in Shift-Invariant Spaces

2020 28th European Signal Processing Conference (EUSIPCO) ◽

10.23919/eusipco47968.2020.9287712 ◽

2021 ◽

Author(s):

Tin Vlasic ◽

Damir Sersic

Keyword(s):

Shift Invariant Spaces ◽

Invariant Spaces

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Sampling in Shift-Invariant Spaces with Gaussian Generator

Sampling Theory, Signal Processing, and Data Analysis ◽

10.1007/bf03549464 ◽

2007 ◽

Vol 6 (1) ◽

pp. 71-86 ◽

Author(s):

Edwin Hammerich

Keyword(s):

Shift Invariant Spaces ◽

Invariant Spaces

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Time Encoding and Decoding in Bandlimited and Shift-Invariant Spaces

Springer Theses - Reconstruction, Identification and Implementation Methods for Spiking Neural Circuits ◽

10.1007/978-3-319-57081-5_2 ◽

2017 ◽

pp. 7-29

Author(s):

Dorian Florescu

Keyword(s):

Time Encoding ◽

Shift Invariant Spaces ◽

Invariant Spaces

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The structure of shift invariant spaces on a locally compact abelian group

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2007.08.039 ◽

2008 ◽

Vol 340 (1) ◽

pp. 219-225 ◽

Author(s):

R.A. Kamyabi Gol ◽

R. Raisi Tousi

Keyword(s):

Abelian Group ◽

Compact Abelian Group ◽

Locally Compact Abelian Group ◽

Locally Compact ◽

Shift Invariant Spaces ◽

Invariant Spaces

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