A new time-frequency analysis based upon AR model

Abstract

In this paper we analyzed the reasons why the discrete Wigner-Ville-distribution (WVD) of real-valued signal sampled at the Nyquist rate has spectral aliasing, whereas short time Fourier transform (STFT) has not such problems. For the time-frequency resolution of STFT spectrogram is very poor, a novel method of time-frequency analysis based on auto-regressive model (AR) is presented in this paper, which inherits merits of STFT spectrogram and has very good time-frequency resolution. When data for processing are very large, the new method may have excellent performance for promoting velocity of calculating, saving storage and keeping high time-frequency resolution. In addition, the applications of the new method were also illustrated for identifying ripple-fired explosions, the results were compared with that of spectrogram. Experiments showed that the performances of the new algorithm were superior than that of spectrogram.