Vocal 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. ${F}_{n}=\frac{\left(2n-1\right)c}{4l}$ where $\begin{array}{l}c=speed\phantom{\rule{0.22em}{0ex}}of\phantom{\rule{0.22em}{0ex}}sound\phantom{\rule{0.22em}{0ex}}\left(m/s\right)\\ l\phantom{\rule{0.22em}{0ex}}=\phantom{\rule{0.22em}{0ex}}length\phantom{\rule{0.22em}{0ex}}of\phantom{\rule{0.22em}{0ex}}simple\phantom{\rule{0.22em}{0ex}}tube\phantom{\rule{0.22em}{0ex}}\left(m\right)\end{array}$ In a vocal tract, the speed of sound is about 350 m/s. So $l=\frac{350\left(2n-1\right)}{4{F}_{n}}$
Estimate height from vocal tract length: $H=7l+0.55$ (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