Generating and Detecting Solvable Chaos at Radio Frequencies with Consideration to Multi-User Ranging

Area of Science:

• Electrical Engineering
• Signal Processing
• Chaos Theory

Background:

• High entropy waveforms offer excellent correlation properties for radar and sonar, especially in multi-system environments.
• The high information content of these signals necessitates high sampling rates for digital detection, posing a challenge.
• Solvable chaotic oscillators present a solution with simple matched filters, with prior hardware demonstrating 10-20 kHz bandwidths.

Purpose of the Study:

• To extend the application bandwidth of solvable chaotic oscillators for improved radar and sonar systems.
• To present the theory, design, and experimental validation of a solvable chaos system operating at 1 MHz.
• To explore the use of these chaotic systems as RF noise sources for multi-user ranging.

Main Methods:

• Developed and experimentally verified a solvable chaotic oscillator system using readily available components, achieving 1 MHz operation.
• Propagated generated waveforms over a 2.45 GHz RF link.
• Detected the propagated signals using a purely analog, RLC-based matched filter.

Main Results:

• Successfully demonstrated solvable chaos at 1 MHz, significantly extending previous bandwidth limitations.
• Validated the use of an analog matched filter for detecting these high-frequency chaotic waveforms.
• Showcased the system's potential as an RF noise source, outperforming conventional techniques in multi-user ranging scenarios.

Conclusions:

• The developed 1 MHz solvable chaotic oscillator system provides a simple, low-cost, and potentially low-power solution for RF ranging.
• This approach significantly reduces the need for complex digital signal processing in radar and sonar applications.
• Chaotic systems offer a promising alternative for multi-user ranging, enhancing performance and efficiency.