Abstract

The modern world fully relies on wireless communication. Because of intrinsic physical constraints of the wireless physical media (multipath, damping, and filtering), signals carrying information are strongly modified, preventing information from being transmitted with a high bit rate. We show that, though a chaotic signal is strongly modified by the wireless physical media, its Lyapunov exponents remain unaltered, suggesting that the information transmitted is not modified by the channel. For some particular chaotic signals, we have indeed proved that the dynamic description of both the transmitted and the received signals is identical and shown that the capacity of the chaos-based wireless channel is unaffected by the multipath propagation of the physical media. These physical properties of chaotic signals warrant an effective chaos-based wireless communication system.

Highlights

  • Nowadays, wireless communication [1,2], ranging from satellite communication and global positioning system (GPS) navigation [3], underwater wireless sensor networks [4], personal mobile phones to portable Wi-Fi applications, is closer to our daily experiences than it used to be

  • Though a chaotic signal is strongly modified by the wireless physical media, its Lyapunov exponents remain unaltered, suggesting that the information transmitted is not modified by the channel

  • For some particular chaotic signals, we have proved that the dynamic description of both the transmitted and the received signals is identical and shown that the capacity of the chaos-based wireless channel is unaffected by the multipath propagation of the physical media

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Summary

Introduction

Wireless communication [1,2], ranging from satellite communication and global positioning system (GPS) navigation [3], underwater wireless sensor networks [4], personal mobile phones to portable Wi-Fi applications, is closer to our daily experiences than it used to be. Though a chaotic signal is strongly modified by the wireless physical media, its Lyapunov exponents remain unaltered, suggesting that the information transmitted is not modified by the channel.

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