Average sampling restoration of harmonizable processes

Abstract

The harmonizable Piranashvili-type stochastic processes are approximated by finite time shifted average sampling sums. Explicit truncation error upper bounds are established. Various corollaries and special cases are discussed.

16 pages. This is an Author's Accepted Manuscript of an article published in the Communications in Statistics - Theory and Methods, Vol. 40, Issue 19-20, 2011, 3587-3598. [copyright Taylor \& Francis], available online at: http://www.tandfonline.com/ [DOI: 10.1080/03610926.2011.581180]

References in corpus (2)

• Universal truncation error upper bounds in sampling restoration
• Universal truncation error upper bounds in irregular sampling restoration

Cited by in corpus (2)

• Aliasing-truncation Errors in Sampling Approximations of Sub-Gaussian Signals
• Whittaker-Kotel'nikov-Shannon approximation of $\phi$-sub-Gaussian random processes