LPC: To Formant

You can choose this command after selecting 1 or more LPC objects.

Behaviour

For each LPC_Frame, the zeros of the linear prediction polynomial are extracted. Zeros that are outside the unit circle are reflected into it. Next, formant frequencies and bandwidths are calculated from all the roots that have the imaginary part positive, i.e., that lie in the upper half of the unit circle. Formant frequencies smaller than 50 Hz or larger than (Nyquist_frequency - 50) are discarded. The remaining frequencies and bandwidths are sorted and copied to the Formant_Frame. Finally, the gain field of the LPC is copied to the intensity field of the Formant_Frame.

Algorithm

The root finder is Laguerre's method followed by root polishing, see Press et al. (1992).

Warning

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© djmw, January 23, 1997