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We propose a formant analysis algorithm that works well for highpitched speakers. The algorithm reduces the influence of pitch frequency on formant analysis. A pitch-synchronized long-term filter is optimized and applied to speech signals before LPC analysis. A weighted LPC analysis method is proposed to compute the auto-regression model parameters and hence the formants. Processing synthetic speech and natural speech show that the spectra of the longterm filtered residue exhibit the formant structure better than those of the speech signal, especially when the pitch frequency is high. A comparison between formant tracking by the proposed algorithm and ESPS waves+ shows promising results.