Sampling and reconstruction of wave-number-limited functions in N-dimensional euclidean spaces
Open accessIntegrity signals
Registry
Cites
Statistics
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
The reconstruction procedure is equivalent to the Whittaker-Kotelnikov-Shannon formula.
“and that this reconstruction is equivalent to the Whittaker-Kotelnikov-Shannon formula (see [38,39] for the multidimensional case).”
From The Dirac equation as a quantum walk: higher dimensions, observational convergence (2014) · cites this paper as [38]
Cites
A Mathematical Theory of Communication
Shannon, C. E. (1948) · Bell System Technical Journal · doi:10.1002/j.1538-7305.1948.tb01338.x · Cited by 88,486 · see citing works
Methods of Theoretical Physics
Morse, P. M., Feshbach, H., & Hill, E. L. (1954) · American Journal of Physics · doi:10.1119/1.1933765 · Cited by 13,197 · see citing works
Flagged first, then by citations
Cited by
Sorted by citations
Hämäläinen, M., Hari, R., Ilmoniemi, R. J., Knuutila, J., & Lounasmaa, O. V. (1993) · Reviews of Modern Physics · doi:10.1103/revmodphys.65.413 · Cited by 4,684 · see citing works
Beyond Massive MIMO: The Potential of Data Transmission With Large Intelligent Surfaces
Hu, S., Rusek, F., & Edfors, O. (2018) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2018.2816577 · Cited by 892 · see citing works
The Dirac equation as a quantum walk: higher dimensions, observational convergence
Arrighi, P., Nesme, V., & Forets, M. (2014) · Journal of Physics A: Mathematical and Theoretical · doi:10.1088/1751-8113/47/46/465302 · Cited by 72 · see citing works
- Authors
- Petersen, D. P., & Middleton, D.
- Affiliations
- United Technologies (United States) (US)
- ORCID
- Petersen, Daniel P.
- Venue
- Information and Control
- Publisher
- Elsevier BV
- Published
- 1962-12
- Volume
- 5
- Issue
- 4
- Pages
- 279-323
- ISSN
- 0019-9958 (ISSN-L)
- OpenAlex
- W2002422940
- Cited by
- 614
- References
- 2
- Citations by year
- 2026: 8 · 2025: 9 · 2024: 6 · 2023: 12 · 2022: 9 · 2021: 15 · 2020: 12 · 2019: 13 · 2018: 18 · 2017: 15 · 2016: 22 · 2015: 13 · 2014: 18 · 2013: 20 · 2012: 25
- FWCI
- 4.89
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Licence
- Locations
- Information and Control (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Applied Mathematics › Mathematical Analysis and Transform Methods
- Physical Sciences › Computer Science › Signal Processing › Digital Filter Design and Implementation
- Physical Sciences › Mathematics › Mathematical Physics › Numerical methods in inverse problems
- Keywords
- multidimensional sampling, mean squared error, stochastic processes, n-dimensional Euclidean space
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
