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Determining F0.

Dear List,

A very Happy New Year. Hopefully, this email will be of some interest to you all.

Existing methods for frequency analysis are generally based on applying variations and extensions of Fourier mathematics to a given set of data to determine the component frequencies in that set of data. Various models have been proposed on how F0 could then be calculated but limitations exist in being able to describe the psycho-physical results reported by various researchers.

A different approach would use some common function for all frequencies (hence wavelengths) at a given point in the stimulus to evaluate an attribute or attributes for each frequency, and determine from complete set of attributes the conditions necessary to identify F0. If such a condition exists and was also capable of describing the psycho-physical results, than one would have be encouraged in the ability of the function to better explain the biology behind the auditory system.

To that extent, I have shown at my website, www.tonepitch.com in section F0, that a function based on evaluative bivalence can provide the conditions necessary to pick the correct F0, and also explain many of the important psycho-physical phenomenon. The first of these is phase locking of the evaluated attributes, with comments on its applicability to explain dichotic hearing of pitch. I have also shown test results, starting with virtual pitch using "resolved" and "unresolved" harmonics, phase invariance with harmonic complexes, and finally results associated with "mistuning" of a harmonic in a complex. Finally, I have given a simple example of the problems associated with vowel recognition, but that is just a flavor of the direction my research is taking, and maybe somebody has a helpful suggestion for creation of a meta-model.

There are many psycho-physical results reported by the research community, but I hope that what I have documented is of sufficient value towards validating the approach that I have taken. Any comments would be most helpful and I would be more than willing to update my website with any other test results of general interest.

Thanking you for your patience in advance, cheers
Randy Randhawa