Recursive consistent estimation with bounded noise

Citation
S. Rangan et Vk. Goyal, Recursive consistent estimation with bounded noise, IEEE INFO T, 47(1), 2001, pp. 457-464
Citations number
23
Categorie Soggetti
Information Tecnology & Communication Systems
Journal title
IEEE TRANSACTIONS ON INFORMATION THEORY
ISSN journal
00189448 → ACNP
Volume
47
Issue
1
Year of publication
2001
Pages
457 - 464
Database
ISI
SICI code
0018-9448(200101)47:1<457:RCEWBN>2.0.ZU;2-F
Abstract
Estimation problems with bounded, uniformly distributed noise arise natural ly in reconstruction problems from over complete linear expansions with sub tractive dithered quantization. We present a simple recursive algorithm far such bounded-noise estimation problems. The mean-square error (MSE) of the algorithm is "almost" O(1/n(2)), where n is the number of samples. This ra te is faster than the O(1/n) MSE obtained by standard recursive least squar es estimation and is optimal to within a constant factor.