Comparison of weak signal detection performance between chaotic system and FFT

Abstract

Chaotic system can be used to detect weak signal in strong noise background, but is the detection performance of chaotic system prior to the detection performance of FFT? The signals under the same noise power and the same signal-to-noise ratio are detected by FFT and chaotic detection system, and the detection rate is compared by introducing the concept of detection rate of chaotic system. The results of analysis show that the detection performance of FFT is only related to the signal-to-noise ratio (SNR) with the same signal length and noise power. And the signal can be detected accurately when the SNR is -40dB, but it can’t be detected when the SNR is -60dB and -80dB. The signal can be detected sometimes, sometimes can’t be detected by the chaotic system in the same condition. Therefore, the detection probability of weak signal exists when the weak signal detected by chaotic oscillator.