Non-Parametric Estimation of a Single Inflection Point in Noisy Observed Signal
- *Corresponding Author:
- Nezamoddin N. Kachouie
Department of Mathematical Sciences
Florida Institute of Technology, USA
E-mail: [email protected]
Received Date: May 28, 2013; Accepted Date: July 01, 2013; Published Date: July 03, 2013
Citation: Kachouie NN, Schwartzman A (2013) Non-Parametric Estimation of a Single Inflection Point in Noisy Observed Signal. J Electr Electron Syst 2:108. doi:10.4172/2332-0796.1000108
Copyright: © 2013 Kachouie NN, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
Inflection point detection is an important yet challenging problem in science and engineering. This paper addresses the estimation of a single inflection point location in noisy observations using non-parametric polynomial regression. To address the bandwidth problem, a constrained approach is proposed to ensure having a single inflection point, thereby reducing the uncertainty in the inflection point location whereas being flexible on the shape of the underlying signal. The performance of the proposed method is evaluated through simulations. It is shown that the proposed method can effectively estimate the inflection point under high noise conditions.