Another way to think of formants is as energy concentrated at certain 
frequencies -- that's how I think of them.  As Mike says, the resonant 
properties of the shaped vocal tract concentrate energy at certain frequencies 
more than others; in a spectrogram you see them as darker bands of energy.

I don't know if that helps or not, but if you start with thinking about 
something like Fourier analysis wherein you break a complex waveform into 
frequency components that have differing amounts of energy, formants are 
components of the complex speech waveform that have more energy in them.

I also second the recommendation for "The Speech Chain."  The first few 
chapters of Yost's "Fundamentals of Hearing" explain the speech signal pretty 
well -- and how we take it apart for analysis (which is where formants come 
from).

m

--
Marc Carter, PhD
Associate Professor and Chair
Department of Psychology
College of Arts & Sciences
Baker University
--

> -----Original Message-----
> From: Mike Palij [mailto:[email protected]]
> Sent: Monday, April 26, 2010 9:42 PM
> To: Teaching in the Psychological Sciences (TIPS)
> Cc: Mike Palij
> Subject: re: [tips] question on speech perception
>
> On Mon, 26 Apr 2010 18:13:37 -0700, Carol L DeVolder wrote:
> >Dear TIPSters,
> >I have tried and tried to understand the concept of formants, but
> >something isn't clicking in my head. Can anyone explain it to me?
> >I can recite the definition, but I just can't seem to
> picture what they
> >represent. I've done a fair amount of reading and it still
> hasn't helped.
> >I think I'm stuck on the idea of frequency over time and I
> need to get
> >beyond that.
> >Thanks for any help anyone can provide.
>
> I'm not sure how helpful this will be but one way of thinking
> of formants is that they represent resonant properties of the
> vocal tract.
> That is, formants represent frequencies that are reinforced
> by the configuration of the vocal tract.  A speech sound can
> then be characterized by its fundamental frequency and the
> formants that the vocal tract supports.  Changing the
> configuration of the vocal tract changes the formants because
> the resonance properties of the tract are now different.
>
> One useful source on this and related concepts is Denes &
> Pinson's "The Speech Chain", the 2nd edition of which is
> available on books.google.com, see:
> http://books.google.com/books?id=ZMTm3nlDfroC&pg=PA153&dq=%22s
> peech+perception%22+denes+pinson&cd=1#v=onepage&q=formants&f=false
> or
> http://tinyurl.com/3ae9wsx
>
> There is an entry on Wikipedia for speech perception which
> provides some coverage of formants and their properties but I
> think Denes & Pinson is probably a better source; see:
> http://en.wikipedia.org/wiki/Speech_perception
>
> -Mike Palij
> New York University
> [email protected]
>
>
>
>
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