Advanced search
Publication Cover
Applicable Analysis
An International Journal
Volume 50, 1993 - Issue 3-4
Submit an article Journal homepage
62
Views
27
CrossRef citations to date
0
Altmetric
Original Articles

Error analysis in regular and irregular sampling theory

P. Butzer Universitāt Wien,, Institut fūr Mathematik, Wien, AUSTRIA, A-1090
,
Hans G. Feichtinger Universitāt Wien,, Institut fūr Mathematik, Wien, AUSTRIA, A-1090
&
Karlheinz Grōchenig Department of Mathematics U-9,, University of Connecticut, Storrs, Connecticut, USA., 06269–3009
Pages 167-189 | Received 07 Jan 1992, Published online: 20 Jan 2011

Citations (27)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (1)

Osman Alagoz, Metin Turgay, Tuncer Acar & Merve Parlak. (2022) Approximation by Sampling Durrmeyer Operators in Weighted Space of Functions. Numerical Functional Analysis and Optimization 43:10, pages 1223-1239.
Read now

Articles from other publishers (26)

Tuncer Acar & Borislav R. Draganov. (2024) A characterization of the rate of the simultaneous approximation by generalized sampling operators and their Kantorovich modification. Journal of Mathematical Analysis and Applications 530:2, pages 127740.
Crossref
Marco Cantarini, Danilo Costarelli & Gianluca Vinti. (2022) Approximation of differentiable and not differentiable signals by the first derivative of sampling Kantorovich operators. Journal of Mathematical Analysis and Applications 509:1, pages 125913.
Crossref
Lucian Coroianu, Danilo Costarelli, Sorin G. Gal & Gianluca Vinti. (2019) Approximation by max-product sampling Kantorovich operators with generalized kernels. Analysis and Applications 19:02, pages 219-244.
Crossref
Danilo Costarelli & Gianluca Vinti. (2019) Saturation by the Fourier transform method for the sampling Kantorovich series based on bandlimited kernels. Analysis and Mathematical Physics 9:4, pages 2263-2280.
Crossref
Lucian Coroianu, Danilo Costarelli, Sorin G. Gal & Gianluca Vinti. (2019) The max-product generalized sampling operators: convergence and quantitative estimates. Applied Mathematics and Computation 355, pages 173-183.
Crossref
Adrian E. G. Huber & Shih-Chii Liu. (2019) Filtering of Nonuniformly Sampled Bandlimited Functions. IEEE Signal Processing Letters 26:7, pages 1036-1040.
Crossref
Shreya Saxena & Munther Dahleh. (2014) Analyzing the effect of an integrate and fire encoder and decoder in feedback. Analyzing the effect of an integrate and fire encoder and decoder in feedback.
QiuHui Chen, Tao Qian & YouFa Li. (2013) Shannon-type sampling for multivariate non-bandlimited signals. Science China Mathematics 56:9, pages 1915-1934.
Crossref
Alessandro Nordio, Carla-Fabiana Chiasserini & Emanuele Viterbo. (2010) The impact of quasi-equally spaced sensor topologies on signal reconstruction. ACM Transactions on Sensor Networks 6:2, pages 1-31.
Crossref
Christos Vezyrtzis & Yannis Tsividis. (2009) Processing of signals using level-crossing sampling. Processing of signals using level-crossing sampling.
A. Nordio, C.-F. Chiasserini & E. Viterbo. (2008) Reconstruction of Multidimensional Signals From Irregular Noisy Samples. IEEE Transactions on Signal Processing 56:9, pages 4274-4285.
Crossref
A. Nordio, C.-F. Chiasserini & E. Viterbo. (2008) Performance of Linear Field Reconstruction Techniques With Noise and Uncertain Sensor Locations. IEEE Transactions on Signal Processing 56:8, pages 3535-3547.
Crossref
Akram Aldroubi, Casey Leonetti & Qiyu Sun. (2008) Error Analysis of Frame Reconstruction From Noisy Samples. IEEE Transactions on Signal Processing 56:6, pages 2311-2325.
Crossref
Akram Aldroubi & Casey Leonetti. (2008) Non-Uniform Sampling and Reconstruction from Sampling Sets with Unknown Jitter. Sampling Theory in Signal and Image Processing 7:2, pages 187-195.
Crossref
Akram Aldroubi & Ilya Krishtal. (2006) Robustness of sampling and reconstruction and Beurling–Landau-type theorems for shift-invariant spaces. Applied and Computational Harmonic Analysis 20:2, pages 250-260.
Crossref
Shouyuan Yang, Zhanjie Song & Xingwei Zhou. 2006. Computational Science – ICCS 2006. Computational Science – ICCS 2006 427 434 .
Wenchang Sun. (2005) Sampling Theorems for Multivariate Shift Invariant Subspaces. Sampling Theory in Signal and Image Processing 4:1, pages 73-98.
Crossref
Thomas Strohmer & Jared Tanner. (2005) Implementations of Shannon’s sampling theorem, a time-frequency approach. Sampling Theory in Signal and Image Processing 4:1, pages 2-17.
Crossref
Wenchang Sun & Xingwei Zhou. (2003) Average sampling in shift invariant subspaces with symmetric averaging functions. Journal of Mathematical Analysis and Applications 287:1, pages 279-295.
Crossref
H. G. Feichtinger & S. S. Pandey. (2003) Recovery of Band-Limited Functions on Locally Compact Abelian Groups from Irregular Samples. Czechoslovak Mathematical Journal 53:2, pages 249-264.
Crossref
H.G. Feichtinger & S.S. Pandey. (2003) Error estimates for irregular sampling of band-limited functions on a locally compact Abelian group. Journal of Mathematical Analysis and Applications 279:2, pages 380-397.
Crossref
Antonio G. García. 2002. 63 137 .
K. Gröchenig & T. Strohmer. 2001. Nonuniform Sampling. Nonuniform Sampling 283 324 .
T. Strohmer. (1999) On the estimation of the bandwidth of nonuniformly sampled signals. On the estimation of the bandwidth of nonuniformly sampled signals.
Karlheinz Gr{öchenig. (1992) Reconstruction algorithms in irregular sampling. Mathematics of Computation 59:199, pages 181-181.
Crossref
Hans G. Feichtinger & Karlheinz Gr?chenig. (1992) Iterative Reconstruction of Multivariate Band-Limited Functions from Irregular Sampling Values. SIAM Journal on Mathematical Analysis 23:1, pages 244-261.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.