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. [V. Rubežić, I. Djurović, M. Daković, Time-frequency representations based detector of chaos in oscillatory circuits, Signal Processing 86(9) (September 2006) 2255–2270]. The detector is based on time-frequency (TF) 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 TF 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 TF representation. Based on this analysis a multiple STFT-based approach has been proposed producing better results than its single window counterpart.