Naslov
Y-Bessel sampling series of L^2(Ω) stochastic processes

Autori
Poganj, Tibor

Vrsta, podvrsta i kategorija rada
Poglavlja u knjigama, znanstveni

Knjiga
Proceedings of the 16th Annual Conference of the Society of Special Functions and their Applications

Urednik/ci
Agarwal, A.K. ; Pathan, M.A. ; Parmar, R. K.

Izdavač
Society of Special Functions and their Applications (SSFA)

Grad
Aligarh

Godina
2017

Raspon stranica
30-44

ISBN
978-3-16-148410-0

Ključne riječi
WKS sampling theorem, Irregular sampling, Bessel sampling, Piranashvili L^2-stochastic process, Covariance function, Spectral representation, Hankel-transform, Mean-square sampling restoration, Almost sure P restoration

Sažetak
An irregularly spaced generalization of the Whittaker-Kotel'nikov-Shannon (WKS) sampling theorem in which the deterministic signal (function) represented in the form of a Hankel- transform via J_ν, I_ν, Y_ν kernel function is sampled exactly at the at the zeros of Bessel function of the first kind, at the zeros of the modified Bessel function of the first kind or at the zeros of the Bessel function of the second kind Y_ν we call J, I, Y-Bessel sampling, respectively. The stochastic signals (Piranashvili-type L_2- processes) possessing correlation function representable also in the form of a Hankel- transform integral in terms of J_ν, I_ν, Y_ν kernel kernel functions permit mean-square and almost sure P sense Bessel sampling restoration. These results are presented in this exposure.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Temeljne tehničke znanosti

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