Least-square estimation for nonlinear systems with applications to phase and envelope estimation in wireless fading channels

Author

Socratous, Yiannis ; Charalambous, Charalambos D. ; Georghiades, Costas N.

Author_Institution

Dept. of Electr. & Comput. Eng., Univ. of Cyprus, Nicosia, Cyprus

fYear

2008

fDate

9-11 Dec. 2008

Firstpage

4928

Lastpage

4932

Abstract

This paper addresses the problem of nonlinear Least-Square estimation. A new approach is presented which employees a change of probability measure technique to derive recursive equations for conditional means of nonlinear problems. The theory developed is applied to multipath fading wireless channels to derive phase and envelope estimates. Furthermore, some numerical results are presented in order to evaluate the performance of these estimators.

Keywords

fading channels; least squares approximations; multipath channels; nonlinear systems; performance evaluation; probability; recursive estimation; envelope estimation; multipath fading wireless channels; nonlinear least-square estimation; nonlinear problems; nonlinear systems; performance evaluation; probability measure technique; recursive equations; wireless fading channels; Fading; Least squares approximation; Maximum likelihood detection; Nonlinear equations; Nonlinear systems; Phase estimation; Recursive estimation; State estimation; Statistical distributions; Statistics;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2008. CDC 2008. 47th IEEE Conference on

Conference_Location

Cancun

ISSN

0191-2216

Print_ISBN

978-1-4244-3123-6

Electronic_ISBN

0191-2216

Type

conf

DOI

10.1109/CDC.2008.4739467

Filename

4739467