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Re: head directivity data & phoneme spectral statistic
If by "directivity function of the human head" you mean
anthropometric data, there have been extensive measurements made on a
fair number of subjects at the University of California CIPIC
laboratory, by Ralph Algazi and Dick Duda. It would be best to
contact them and ask them directly what in particular ou are interested in.
With regard to average spectral (spectro-temporal?) characteristics
of English phonemes, in your place I would ask Jont Allen for his
data or data he has been working with. The caveat of course is that
no matter how precise those measurements may be, they go to pot in
coarticulation and, more generally, in spontaneous and often sloppy
spoken language. Beware of the phoneme -- it may be only a mirage!