Local linear predictive coding for high resolution time-frequency analysis

We are developing a method of time-frequency analysis on the basis of linear predictive coding (LPC). In contrast to standard LPC, which assumes an infinite number of samples, our method obtains instantaneous frequencies, instantaneous amplitude vary rates, and instantaneous amplitudes from a small number of samples. The time width for single local analysis can be much narrower than the period of oscillation of a given time series, enabling high resolution time-frequency analysis. We outline our method and use it to analyze electro-magnetic noise in comparison with short time Fourier transform to show its resolution.