Instantaneous frequency estimation using double-sided exponentially forgetting transform

In this paper, we propose a new type of time-frequency distribution, named double-sided exponentially forgetting transform (DSEFT). In addition, an algorithm for instantaneous frequency estimation using DSEFT is presented. It is shown that the DSEFT offers good time-frequency resolution and that stable reconstruction of a signal from samples of the DSEFT is possible. Compared with other forms of time-frequency representation, DSEFT is highly computational efficient, since iterative computation can be used. Analysis shows that DSEFT is superior to the exponential forgetting transform as an instantaneous frequency estimator. The bias and the mean square deviation of the estimator are discussed and its validness is verified by simulations.