Analytical Model of an Energy Detector for Ultra-Wideband Chaotic Communications

For the ultra-wideband chaotic radio pulses an analytical model of an energy detector is designed and closed-form expressions for the optimal threshold and the detection probabilities are derived. The analytical solution is compared with the results of the numerical simulation. The model proves to be well-suited for the chaotic radio pulses with large base B (or processing gain, or the number of freedom degrees), namely, B >= 100. Potential applications areas of the proposed model are ultra-wideband communications with chaotic pulse carriers, e.g., ultra-wideband systems of 802.15.x standards, and multi-element chaotic communication systems.

Automated summary

An analytical model for energy detection of ultra-wideband chaotic radio pulses is designed in this paper, and closed-form expressions for the optimal threshold and detection probabilities are derived. The analytical solution is compared with numerical simulation results, confirming the suitability of the model for chaotic radio pulses with large base B (or processing gain, or the number of freedom degrees), i.e. B >= 100. The proposed model has potential applications in ultra-wideband communications with chaotic pulse carriers, such as ultra-wideband systems of 802.15.x standards, and multi-element chaotic communication systems.