Multiple STFT-based approach for chaos detection in oscillatory circuits

This paper deals with the recently proposed detector of chaotic states in nonlinear oscillatory circuits [1]. Detector is based on time-frequency representations of signals generated by oscillators. It can be realized by using cross-terms free (or reduced) representations such as the short-time Fourier transform (STFT). It has been noticed that its accuracy substantially depends on the applied window width used in the time-frequency representation. The subject of this paper is the accuracy analysis of such detector in the noisy environment with respect to the window width in the time-frequency representation. Based on this analysis a multiple STFTs-based approach has been proposed producing better results than its single window counterpart.