On1/fNoise

Abstract

Due to the fact that1/fnoise 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 of1/fnoise in comparison with conventional random functions. Three theorems are given for highlighting the particularities of1/fnoise. The first says that a random function with long-range dependence (LRD) is a1/fnoise. The secondindicates that a heavy-tailed random function is in the class of1/fnoise. The third provides a type of stochastic differential equations that produce1/fnoise.