Pregled bibliografske jedinice broj: 299111
On sharp bounds for remainders in multidimensional sampling theorem
On sharp bounds for remainders in multidimensional sampling theorem // Sampling theory in signal and image processing, 6 (2007), 3; 249-272 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 299111 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On sharp bounds for remainders in multidimensional sampling theorem
Autori
Olenko, Andriy Yakovich ; Poganj, Tibor
Izvornik
Sampling theory in signal and image processing (1530-6429) 6
(2007), 3;
249-272
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Interpolation error ; extremal function ; multidimensional sampling theorem ; WKS sampling formula ; Paley-Wiener function class ; Frechet - (semi-) variation ; weak Cramer random fields
Sažetak
Sharp upper bounds for interpolation remainders of the multidimensional Paley-Wiener class functions by finite regular Whittaker- Kotel'nikov-Shannon sampling sum are obtained.The extremal functions are given for which the derived bounds are attained. Truncation error analysis and convergence rate is provided in weak Cram\'er class random fields. The historical background, the development and extensive reference list are given concerning truncation error upper bounds for deterministic and random signal functions. Finally, new research directions are posed and discussed.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
112-2352818-2814 - Redovi uzorkovanja, Mathieuovi redovi i specijalne funkcije
Ustanove:
Pomorski fakultet, Rijeka
Profili:
Tibor Poganj
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Scopus
Uključenost u ostale bibliografske baze podataka::
- Mathematical Reviews
- Zentralblatt MATH
- INSPEC of the IEE
- SCOPUS
- EBSCO hosts.
