Complex Systems

Influence of Excess 1/f Noise on Channel Capacity Download PDF

Dominik Strzałka

Franciszek Grabowski
Rzeszów University of Technology
Department of Distributed Systems
W. Pola 2, 35-959 Rzeszów, Poland

Abstract

This paper deals with new analytical and experimental aspects of a channel's capacity in the presence of excess nonwhite Gaussian noise with long-range dependencies described by the Hurst parameter H. Shannon's theory of information based on the assumptions given by the Boltzmann-Gibbs extensive thermodynamical basis, does not allow description of many different phenomena directly connected with the ideas of a complex systems approach. This theory is also a basis of many considerations in communication, but a new approach to transmission channels is needed. The transmission channels are no longer simple systems built with only one wire connection, but consist of many different transmission media. For each type of partial connection in such channels there are many various interferences that influence some parts of the channel in different ways. We suggest that in many cases the real capacity of the whole channel can no longer be determined by Shannon's equation without taking into account the problem of excess 1/f noise, which appears as an intrinsic feature of dynamically packet switched networks. The ideas presented in this paper show how the complex system approach can provide a good perspective for analyzing the whole transmission channel.