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Dear List,
I have attached a short description of the
periodicity sorting matrix, the PSM. I hope this wsriteup answers questions
about how it can achieve real-time pitch tracking.
In my previous "definition" of real time pitch I
forgot to add that the pitch period respons is synchronous not only with the
onset of the waveform, but with each cycle of the waveform. However, yes, there
is a delay in periodicity recognition at the onset of a periodic series
because there can be no tonal "pitch" until two successive periods occur. From
that point on the pitch response is locked to the real zeros of the
waveform.
That's the rudimentary case. In general there will
be mixed waveforms with mixed zeros. So the PSM's delay line stores all
intermixed zeros but responds only to the ones that match a template in the
matrix. That's as instantaneous as you can get, and you can separate tonal
sounds from each other as well as atonal ones.
Best regards,
John
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Attachment:
Short PSM description.doc
Description: MS-Word document