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Accurate Phase Estimation for Chirp-like Signals

Sinusoidal modeling relies on the decomposition of a given signal (continuous or discrete) into a set of sinusoidal components plus a residual signal. The sinusoidal parameters, namely the amplitude, frequency and phase, may vary upon time. Generally, the tracking of these parameters is performed via Short-Time Fourier Transform (STFT) analysis, providing in fine, for each sinusoidal component, estimates of the amplitude, frequency and phase for a considered time slot. The duration of the analysis time slots is chosen in order to guarantee that the signal under analysis is stationary enough to deliver useful data. If this requirement is not met, in particular if the frequency varies in the analysis slot, the phase estimation is biased. This paper introduces a method to estimate and to correct this bias as a function of the analysis parameters (window type and size) and of the frequency slope.

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