Statistical parameterization of f0 and formant estimation
Identify and formalize the underlying parameters that are estimated when computing fundamental frequency f0 and formant frequencies from speech recordings by developing a probabilistic model of speech signals in which f0 and formant frequencies are explicit, identifiable parameters amenable to statistical estimation and inference.
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Some open statistical modeling questions in phonetics are the following. Many studies are based on the fundamental frequency $f_0$ and the formant frequencies. The accuracy of those measurements cannot be taken for granted, so they are manually checked in many studies. However the perspective taken is mostly a signal-processing one, and a more statistical approach is lacking: what underlying parameter is being estimated when computing $f_0$ and formant frequencies?