Title :
Recovery of not necessarily band-limited signals from noisy observations
Author :
Krzyzak, A. ; Rafajlowicz, E. ; Pawlak, M.
Author_Institution :
Dept. of Comput. Sci., Concordia Univ., Montreal, Que., Canada
Abstract :
The purpose of this paper is to describe the extension of the Whittaker-Shannon sampling theorem to the case of signals observed in the presence of noise. We introduce a class of signal recovery methods being a smooth correction of the cardinal series. Both band-limited and non band-limited signals are considered. The weak and strong L2 consistency of the algorithms are established and the rate of convergence is investigated
Keywords :
bandlimited signals; convergence of numerical methods; interpolation; noise; signal reconstruction; signal sampling; Whittaker-Shannon sampling theorem; band-limited signals; cardinal series smooth correction; convergence rate; noisy observations; nonband-limited signals; signal recovery methods; strong L2 consistency; weak L2 consistency; Bandwidth; Communication systems; Computer science; Convergence; Cybernetics; Information theory; Kernel; Sampling methods; Signal processing algorithms; Signal sampling;
Conference_Titel :
Information Theory, 2000. Proceedings. IEEE International Symposium on
Conference_Location :
Sorrento
Print_ISBN :
0-7803-5857-0
DOI :
10.1109/ISIT.2000.866658
