Pregled bibliografske jedinice broj: 141711
Sharp truncation error upper bound in the sampling reconstruction of homogeneous random field
Sharp truncation error upper bound in the sampling reconstruction of homogeneous random field // Statistics and Probability Letters, 15 (1992), 5; 345-348 (međunarodna recenzija, članak, znanstveni)
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Naslov
Sharp truncation error upper bound in the sampling reconstruction of homogeneous random field
Autori
Poganj, Tibor
Izvornik
Statistics and Probability Letters (0167-7152) 15
(1992), 5;
345-348
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Homogeneous random fields; band-limited signals; mean-square truncation error; almost sure sampling truncation error
Sažetak
Arbitrarily sharp upper bound is established for the magnitude of the mean-square truncation error in the sampling expansion of a band-limited homogeneous random filed. As a main tool the Bernstein bound of the remainder of the symmetric complex Fourier series of the function $\exp \{; ; itx\}; ; $ is introduced. As a simple consequence of the derived result, the convergence rate is ordered in the almost sure sampling reconstruction.
Izvorni jezik
Engleski
Znanstvena područja
Matematika, Računarstvo, Informacijske i komunikacijske znanosti
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- The INSPEC Science Abstracts series
- Mathematical Reviews
- Zentralblatt fur Mathematik
- Pascal
