Sampling and recovery of bandlimited functions and applications to signal processing (original) (raw)

Approximating a bandlimited function in terms of its samples

Rudolf Stens

Computers & Mathematics with Applications, 2000

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Sampling and recovery of multidimensional bandlimited functions via frames

Ben Bailey

Journal of Mathematical Analysis and Applications, 2010

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Discrete Sampling and Interpolation: Universal Sampling Sets for Discrete Bandlimited Spaces

Brad Osgood

IEEE Transactions on Information Theory, 2000

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A reconstruction formula for band limited functions in L_2(Rd)L_2(R^d)L_2(Rd)

Isaac Pesenson

Proceedings of the American Mathematical Society, 1999

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Irregular sampling theorems and series expansions of band-limited functions

Hans Feichtinger

Journal of Mathematical Analysis and Applications, 1992

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The sampling theorem, Poisson's summation formula, general Parseval formula, reproducing kernel formula and the Paley–Wiener theorem for bandlimited signals – their interconnections

Paul L Butzer, R. Stens, Gerhard Schmeisser

Applicable Analysis, 2011

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Sampling theorems using nonuniform sample points and interpolation functions with band-limited continuous spectra

Takuro Kida

Electronics and Communications in Japan (Part III: Fundamental Electronic Science), 1989

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A generalized sampling theory without band-limiting constraints

Josiane Zerubia

IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, 1998

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Sampling and interpolating sequences for multiband-limited functions and exponential bases on disconnected sets

Yurii Lyubarskii

The Journal of Fourier Analysis and Applications, 1997

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Construction of Sampling and Interpolating Sequences for Multi-Band Signals. The Two-Band Case

Sergei Avdonin

International Journal of Applied Mathematics and Computer Science, 2007

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Relations between the possibility of restoration of bandpass-type band-limited waves by interpolation and arrangement of sampling points

Takuro Kida

Electronics and Communications in Japan (Part I: Communications), 1986

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Complete interpolating sequences for Fourier transforms supported by convex symmetric polygons

Alexander Rashkovskii, Yurii Lyubarskii

Arkiv för matematik, 2000

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Nonuniform sampling of bandlimited signals with polynomial growth on the real axis

Ahmed Zayed

IEEE Transactions on Information Theory, 1997

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On the minimum sampling rate of signals of non-bandlimited response

Edmund M Lai

2008 International Symposium on Information Theory and Its Applications, 2008

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Functions in sampling spaces

Carlos Cabrelli

arXiv preprint math/0505147, 2005

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Approximation of bandlimited functions

Yoel Shkolnisky

Applied and Computational Harmonic Analysis, 2006

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Sampling the Flow of a Bandlimited Function

Longxiu Huang

The Journal of Geometric Analysis

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On restoring band-limited signals

Ewaryst Rafajlowicz

IEEE Transactions on Information Theory, 1994

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Exponential weighting algorithms for reconstruction of bandlimited signals

Ewaryst Rafajlowicz

IEEE Transactions on Signal Processing, 1996

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Coarse quantization for random interleaved sampling of bandlimited signals

Ozgur Yilmaz

ESAIM: Mathematical Modelling and Numerical Analysis, 2012

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Discrete Sampling and Interpolation: Orthogonal Interpolation for Discrete Bandlimited Signals

Brad Osgood

arXiv (Cornell University), 2014

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Reconstruction of multidimensional bandlimited signals from nonuniform and generalized samples

Arie Feuer

IEEE Transactions on Signal Processing, 2005

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On restoration of band-limited signals from noisy observations

Ewaryst Rafajlowicz

Proceedings of 1994 IEEE International Symposium on Information Theory, 1994

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Some Useful Results Related with Sampling Theorem and Reconstruction Formula

Andrzej Borys

International Journal of Electronics and Telecommunications, 2019

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Multidimensional of gradually series band limited functions and frames

IJERS JOURNAL

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Sampling and reconstruction of operators

Götz Pfander

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Nonlinearly bandlimited signals

Vishal Vaibhav

Journal of Physics A: Mathematical and Theoretical, 2019

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Approximation by generalized Shannon sampling operators generated by band‐limited kernels

Andi Kivinukk

PAMM, 2008

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Sampling theorem for bandlimited Hardy space functions generated by Regge problem

Ahmed Zayed

Applied and Computational Harmonic Analysis, 2011

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Shift-invariant and sampling spaces associated with the special affine Fourier transform

Ahmed Zayed

Applied and Computational Harmonic Analysis, 2019

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Sampling and Interpolation Problems for Vector Valued Signals in the Paley–Wiener Spaces

Sergei Ivanov

Ieee Transactions on Signal Processing, 2008

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Fast Reconstruction Of Nonuniformly Sampled Bandlimited Signal Using Slepian Functions

Marek Miśkowicz

2014

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Finite sampling approximations for non-band-limited signals

Muhammad Habib

IEEE Transactions on Information Theory, 1982

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