Strictly Positive and Continuous Random Fibonacci Sequences and Network Theory Applications
Information Theory
2016-02-24 v1 math.IT
Abstract
We motivate the study of a certain class of random Fibonacci sequences - which we call continuous random Fibonacci sequences - by demonstrating that their exponential growth rate can be used to establish capacity and power scaling laws for multihop cooperative amplify-and-forward (AF) relay networks. With these laws, we show that it is possible to construct multihop cooperative AF networks that simultaneously avoid 1) exponential capacity decay and 2) exponential transmit power growth across the network. This is achieved by ensuring the network's Lyapunov exponent is zero.
Keywords
Cite
@article{arxiv.1602.07225,
title = {Strictly Positive and Continuous Random Fibonacci Sequences and Network Theory Applications},
author = {David Simmons and Justin Coon},
journal= {arXiv preprint arXiv:1602.07225},
year = {2016}
}