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the university of chicago the phonology and ... - SIL International

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<strong>the</strong> following criteria. First, I visually inspected a wide-b<strong>and</strong> spectrogram <strong>of</strong> each token<br />

to verify that <strong>the</strong>re was a steady state period for <strong>the</strong> vowel. I <strong>the</strong>n calculated <strong>the</strong> midpoint<br />

<strong>of</strong> <strong>the</strong> steady state based on measurements <strong>of</strong> <strong>the</strong> start <strong>and</strong> end points. The window <strong>of</strong><br />

analysis was <strong>the</strong>n centered on this midpoint. I took three measurements <strong>of</strong> each formant<br />

frequency: (1) by visual inspection on a wide-b<strong>and</strong> spectrogram (BW = 215.33 Hz, 75<br />

points), (2) by drawing parabolas over an FFT plot, <strong>and</strong> (3) by employing LPC analysis.<br />

In addition, b<strong>and</strong>width measurements <strong>of</strong> each resonance were documented using LPC<br />

analysis. The parameters for <strong>the</strong> FFT <strong>and</strong> LPC analyses are given in (2):<br />

(2) LPC <strong>and</strong> FFT parameters<br />

a. LPC<br />

Frame length: 20 ms<br />

Filter order: 12<br />

Pre-emphasis: 0.900<br />

Analysis method: autocorrelation<br />

Window weighting: blackman<br />

b. FFT<br />

Frame length: 512 points (46.44 ms) <strong>and</strong> 256 points (23.22 ms)<br />

Pre-emphasis: 0.000<br />

Window weighting: blackman<br />

Smoothing level: none<br />

Tables 8.3 <strong>and</strong> 8.4 show <strong>the</strong> average values for <strong>the</strong> first three formants <strong>and</strong><br />

b<strong>and</strong>widths, respectively for each vowel.<br />

Table 8.3: Formant averages. Units are Hertz; st<strong>and</strong>ard deviations are in paren<strong>the</strong>ses<br />

(Speaker K).<br />

F1 F2 F3<br />

E 272 (28.4) 1940 (32.0) 2845 (90.7)<br />

A 345 (24.5) 1920 (74.8) 2687 (66.4)<br />

270 (18.7) 1565 (181.7) 2222 (91.1)<br />

367 (50.1) 1410 (88.9) 2375 (51.23)<br />

= 682 (47.4) 1292 (126.5) 2335 (106.8)<br />

K 270 (35.0) 897 (55.3) 2302 (77.0)<br />

385 (37.4) 897 (79.4) 2494 (78.9)<br />

547 (23.6) 965 (66.3) 2407 (153.7)<br />

552 (58.6) 1372 (83.3) 2397 (145.1)<br />

153

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