Application of Multiple Tree Stochastic Theory on Estimating Signal over Network

Abstract

A new multi-scale stochastic theory called the Multiple Tree (MT) theory, will be presented in this paper. The MT construction is a concatenate of several single trees where these trees are connected each other through a Gaussian random vector. As a family of multi-scale stochastic system, the MT is also closely related to the fractal phenomena. The nature of the MT is suitable to the computer network environment. In this paper such advantage will be exploited in estimating 1/f signal given ill-posed observation over the network.