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Re: <00> Sound Cancelation

From: Vaughan Pratt <>
Date: Tue, 08 Dec 1998 10:22:24 -0800

Oops, just realized I didn't get around to posting the following, my
previous message assumed I'd sent this.

From: Christopher Allen <>
>The fundamental tone is unnecessary. The harmonics are what really count
>(and the frication sounds).

This is basically right, but it should be pointed out that intonation,
which tracks --- in fact is defined by --- the fundamental, is an
essential part of speech.  Without intonation the voice would sound
monotonous, like a computer speaking, and you would lose important stress
information, which is coded by pitch rather than by volume.

However a harmonically rich sound made up predominantly of the harmonics
of a single (but varying) fundamental frequency, which has then had the
fundamental filtered out, contains more than enough information to permit
the fundamental to be reconstructed.  Hence information-theoretically
if not spectrally the fundamental is still there.  So rather than saying
that the fundamental is not needed it's more useful in practice to view
it as something that can't be hidden by high-pass filtering.

This would appear to describe how humans perceive a voice from which
the fundamental has been filtered out: they perceive it as sounding
tinny, i.e. lacking in bass, yet with the basic pitch remaining the same
as before the filtering.

Vaughan

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