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Perceptual Coherence : Hearing and Seeing

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346 <strong>Perceptual</strong> <strong>Coherence</strong><br />

Cross Section of<br />

Vocal Tract<br />

Nasal Cavity<br />

Tongue<br />

Teeth<br />

Lips<br />

Model of Vocal Tract<br />

(A) i as in “Feet”<br />

Throat<br />

Back of Mouth<br />

Mouth<br />

(B) a as in “Father”<br />

Back of Mouth<br />

Throat<br />

(C) u as in “Boot”<br />

Mouth<br />

Back of Mouth<br />

Throat<br />

Mouth<br />

Acoustic Spectrum<br />

40<br />

Second Formant<br />

= 2300 Hz<br />

First<br />

20 Formant<br />

= 300 Hz<br />

possible. Traditionally, the cardinal vowels have been thought to underlie<br />

speaker normalization. Listeners use those vowels to correct for speaker<br />

differences due to the size of the vocal tract, speaking rate, accent <strong>and</strong><br />

dialect, <strong>and</strong> so on. But in all likelihood, vowels are not recognized by the<br />

frequencies of their resonances but by the ongoing speech signal that is<br />

Lips<br />

Lips<br />

Decibels<br />

0<br />

−20<br />

0 2000 4000<br />

40<br />

100<br />

First Formant = 750 Hz<br />

20<br />

0<br />

Se<br />

Second Formant<br />

= 1200 Hz<br />

−20<br />

0 2000 4000<br />

20<br />

0<br />

−20<br />

First Formant<br />

= 350 Hz<br />

Second Formant<br />

= 800 Hz<br />

−40<br />

0 2000 4000<br />

Frequency (Hz)<br />

Figure 8.3. The articulatory process: the positions of the tongue, lips, teeth, <strong>and</strong><br />

jaw create the resonant cavities that create the resonances of the vocal tract. Those<br />

resonances can be calculated on the basis of the size <strong>and</strong> shape of the cavities, <strong>and</strong><br />

the theoretical acoustic spectrum for each vowel is shown in the right column.<br />

Adapted from Language <strong>and</strong> Communication, by G. A. Miller, 1981, San Francisco:<br />

Freeman.<br />

100<br />

10<br />

1<br />

.1<br />

10<br />

1<br />

.1<br />

10<br />

1<br />

.1<br />

.01<br />

Amplitude Ratio

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