Frequency Detection of Weak Periodic Signal Based on Modified ADVP Model

Detecting weak periodic signal by chaotic oscillator is not only a new method, but also practical applications on chaos theory. However, when using this method to detect weak periodic signal, we have to know the frequency of weak periodic signal in advance, which limits applications of the method. This paper studies the relation between the frequency of measured weak periodic signal and max-variance of output signal. Based on modified ADVP model, we search max-variance of output signal by genetic algorithm. With this new method, we obtain the frequency of measured weak periodic signal besides verify existence of weak periodic signal, which can remove the limitation of detecting weak periodic signal by chaotic oscillator. At the end, we successfully apply the new method to detect frequency of person´s breath.