Title :
Nonparametric estimation of a class of smooth functions
Author :
Pawlak, M. ; Stadtmüller, U.
Author_Institution :
Dept. of Electr. & Comput. Eng., Manitoba Univ., Winnipeg, Man., Canada
Abstract :
The problem of recovering bandlimited signals from noisy data is considered. Whittaker-Shannon cardinal expansions based estimates involving sampling windows and truncation of higher frequencies are introduced. Weak and strong pointwise convergence properties of the proposed estimates are derived
Keywords :
convergence of numerical methods; estimation theory; functional analysis; noise; nonparametric statistics; signal sampling; smoothing methods; Whittaker-Shannon cardinal expansions; bandlimited signals recovery; higher frequencies truncation; noisy data; nonparametric estimation; sampling windows; smooth functions; statistical properties; strong pointwise convergence properties; weak pointwise convergence properties; Bandwidth; Convergence; Convolution; Fourier transforms; Frequency estimation; Information theory; Kernel; Noise generators; Noise measurement; Sampling methods;
Conference_Titel :
Information Theory and Statistics, 1994. Proceedings., 1994 IEEE-IMS Workshop on
Conference_Location :
Alexandria, VA
Print_ISBN :
0-7803-2761-6
DOI :
10.1109/WITS.1994.513900
