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The Klatt formant synthesizer
20 20
Uniform tube 1Y
10 10
)
=)
= 0 0
Ll
-10 -10
-20 -20
0 1 2 3 4 5 0 1 2 3 4 5
Frequency (kHz) Frequency (kHz)
30 10
AA UW
20 0
Q
2
=
0 -20
-10 -30
0 1 2 3 4 5 0 1 2 3 4 5
Frequency (kHz) Frequency (kHz)
Figure 12-9: Magnitude of the vocal tract transfer function
12.2.3 Formant frequencies
Each formant resonator introduces a peak in the magnitude spectra shown in
Figure 12-9. The frequency of formant peak “n” is determined by the formant fre-
quency control parameter Fn. (The amplitude of a formant peak depends not only
on Fn and the formant bandwidth control parameter BWn, but also on the fre-
quencies of the other formants, which will be discussed below.)
Formant frequency values are determined by the detailed shape of the vocal
tract. Formant frequency values associated with different phonetic segments in the
speech of speaker DHK are presented in Chapter 11. The frequencies of the lowest
three formants vary substantially with changes to articulation (e.g. the observed
range of F1 is from about 180 to 750 Hz, of F2 is 600 to 2300 Hz, and of F3 is
1300 to 3100 Hz for a typical male talker). The frequencies and bandwidths of the
fourth and fifth formant resonators do not vary as much, and could be held con-
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