aVocal Tract Measurement

The vocal tract is like the internet: a series of tubes. For central vowels, we can model the vocal tract as a simple tube, like a cylinder that starts at the vocal tract and ends at the lips. Fn=(2n-1)c

4l${\displaystyle F_n=\frac{(2n-1)c}{4l}}$ where ac=speed of sound (m/s)l = length of simple tube (m)${\displaystyle \begin{array}{l}c=speedofsound(m/s)\\ l=lengthofsimpletube(m)\end{array}}$ In a vocal tract, the speed of sound is about 350 m/s. So l=350(2n-1)

4Fn${\displaystyle l=\frac{350(2n-1)}{4F_n}}$

Estimate height from vocal tract length: H=7l+0.55${\displaystyle H=7l+0.55}$ (m) Activity: Guess Who Match the speaker with the spectrogram (A-G), using vocal tract length estimation and given height.

Sara1.625 m Audio file: _______Est VTL: _______	Trang1.675 m Audio file: _______Est VTL: _______	Wesley1.88 m Audio file: _______Est VTL: _______	Ellen1.625 m Audio file: _______Est VTL: _______
Leanne1.59 m Audio file: _______Est VTL: _______	Juvenile 11.59 m Audio file: _______Est VTL: _______	Juvenile 21.3 m Audio file: _______Est VTL: _______	You? Audio file: _______Est VTL: _______

Some good references: https://www.isca-speech.org/archive/archive_papers/interspeech_2005/i05_1989.pdfhttps://www.researchgate.net/post/How_can_I_estimate_a_persons_vocal_tract_length_using_a_recorded_audio_filehttps://www.konan-u.ac.jp/hp/kitlab/pub/is2012_poster.pdfhttp://www.phon.ox.ac.uk/jcoleman/tube_models.htmhttp://www.phon.ox.ac.uk/jcoleman/tube_models2.htm