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Mathematical Problems in Engineering
Volume 2012, Article ID 673648, 23 pages
Review Article

On Noise

Ming Li1,2 and Wei Zhao1

1Department of Computer and Information Science, University of Macau, Avenida Padre Tomas Pereira, Taipa, Macau
2School of Information Science & Technology, East China Normal University, Shanghai 200062, China

Received 11 October 2012; Accepted 23 October 2012

Academic Editor: Carlo Cattani

Copyright © 2012 Ming Li and Wei Zhao. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Due to the fact that noise gains the increasing interests in the field of biomedical signal processing and living systems, we present this introductive survey that may suffice to exhibit the elementary and the particularities of noise in comparison with conventional random functions. Three theorems are given for highlighting the particularities of noise. The first says that a random function with long-range dependence (LRD) is a noise. The secondindicates that a heavy-tailed random function is in the class of noise. The third provides a type of stochastic differential equations that produce noise.