Jan 10, 2016 - -4.500k. -4.250k. -4.000k. -3.750k. -3.500k. -3.250k. -3.000k. -2.750k. -2.500k. -2.250k. -2.000k. -1.750k. -1.500k. -1.250k. -1.000k. -0.750k.
Appendix 16a: Formant analysis with ADμP® – Formant F0 of spoken word "Kreis" in frequency range f = 115...125 Hz over t = 390 ms
'LDJUDP6LJQDOF\UHGJUHHQ LQSXDQGSURFHGXUHVWDWHVEOXH LQOHIWULJKW
c.y = f( c.x, Phone... c.y = f( c.x, Phonem_... states = f( c.x, Phone...
14.00k 13.00k 12.00k 11.00k 10.00k 9.00k 8.00k 7.00k 6.00k 5.00k 4.00k 3.00k 2.00k 1.00k
! F[V
0 -1.00k -2.00k -3.00k -4.00k -5.00k -6.00k -7.00k -8.00k -9.00k -10.00k -11.00k -12.00k 0
Christian E. Jacob
25.0m
50.0m
75.0m
100.0m
125.0m
150.0m
175.0m
200.0m
225.0m
250.0m
C:\ADuP\_Q C_Q A\QA#003\ssc\Kreis_F_.day
275.0m
300.0m
325.0m
350.0m
389.7m
01.10.2016 10:25
Appendix 16a: Formant analysis with ADμP® – Formant F0 of spoken word "Kreis" in frequency range f = 115...125 Hz over t = 390 ms
'LDJUDP6LJQDOF\UHGJUHHQ LQSXVXPRIVWHSVLQWUDQVLHQWUHFRUGHUVWEOXH DQGVXPRIPDLQVWHSVLQWUDQVLHQWUHFRUGHUVWRUDQJH LQV 14.00k
c.y = f( c.x, Phonem_... c.y = f( c.x, Phonem_... 1Meg * s.t = f( c.x, P... 100k * s.t0 = f( c.x, P...
13.00k 12.00k 11.00k 10.00k 9.00k 8.00k 7.00k 6.00k 5.00k 4.00k 3.00k 2.00k 1.00k
! F[V
0 -1.00k -2.00k -3.00k -4.00k -5.00k -6.00k -7.00k -8.00k -9.00k -10.00k -11.00k -12.00k 0
Christian E. Jacob
25.0m
50.0m
75.0m
100.0m
125.0m
150.0m
175.0m
200.0m
225.0m
250.0m
C:\ADuP\_Q C_Q A\QA#003\ssc\Kreis_F_.day
275.0m
300.0m
325.0m
350.0m
389.7m
01.10.2016 10:25
Appendix 16a: Formant analysis with ADμP® – Formant F0 of spoken word "Kreis" in frequency range f = 115...125 Hz over t = 390 ms
'LDJUDP6LJQDOF\UHGJUHHQ LQSXDUHDRYHUWLPHVWHSVWUDQVLHQWUHFRUGHUD]EOXH DUHDRYHUPDLQWLPHVWHSVLQWUDQVLHQWUHFRUGHUD]RUDQJH LQV SX 20.00k
c.y = f( c.x, Phonem_... c.y = f( c.x, Phonem_... 1k * a.z = f( c.x, Pho... 1k * a.z0 = f( c.x, Ph...
18.00k 16.00k 14.00k 12.00k 10.00k 8.00k 6.00k 4.00k 2.00k
! F[V
0 -2.00k -4.00k -6.00k -8.00k -10.00k -12.00k -14.00k -16.00k -18.00k -20.00k 0
Christian E. Jacob
25.0m
50.0m
75.0m
100.0m
125.0m
150.0m
175.0m
200.0m
225.0m
250.0m
C:\ADuP\_Q C_Q A\QA#003\ssc\Kreis_F_.day
275.0m
300.0m
325.0m
350.0m
389.7m
01.10.2016 10:25
Appendix 16a: Formant analysis with ADμP® – Formant F0 of spoken word "Kreis" in frequency range f = 115...125 Hz over t = 390 ms
'LDJUDP5HIHUHQFHVLJQDOF]UHG UHIHUHQFHPDLQVLJQDOF]JUHHQ LQSXDQGSURFHGXUHVWDWHVEOXH LQOHIWULJKW c.z = f( c.x, Phonem_... c.z0 = f( c.x, Phonem... states = f( c.x, Pho...
5.000k 4.500k 4.250k 4.000k 3.750k 3.500k 3.250k 3.000k 2.750k 2.500k 2.250k 2.000k 1.750k 1.500k 1.250k 1.000k 0.750k 0.500k 0.250k 0 -0.250k -0.500k -0.750k -1.000k -1.250k -1.500k -1.750k -2.000k -2.250k -2.500k -2.750k -3.000k -3.250k -3.500k -3.750k -4.000k -4.250k -4.500k
! F[V
-5.000k 0
Christian E. Jacob
25.0m
50.0m
75.0m
100.0m
125.0m
150.0m
175.0m
200.0m
225.0m
250.0m
C:\ADuP\_Q C_Q A\QA#003\ssc\Kreis_F_.day
275.0m
300.0m
325.0m
350.0m
389.7m
01.10.2016 10:25
Appendix 16a: Formant analysis with ADμP® – Formant F0 of spoken word "Kreis" in frequency range f = 115...125 Hz over t = 390 ms
'LDJUDP=HURSRLQWVF[UHG EHWZHHQUHIHUHQFHVLJQDOF]DQGUHIHUHQFHPDLQVLJQDOF]XSRQWKHDEVFLVVDLQV c0.x = f( c.x, Phon...
400.0m 380.0m 370.0m 360.0m 350.0m 340.0m 330.0m 320.0m 310.0m 300.0m 290.0m 280.0m 270.0m 260.0m 250.0m 240.0m 230.0m 220.0m 210.0m 200.0m 190.0m 180.0m 170.0m 160.0m 150.0m 140.0m 130.0m 120.0m 110.0m 100.0m 90.0m 80.0m 70.0m 60.0m 50.0m 40.0m 30.0m 20.0m 0 0
Christian E. Jacob
25.0m
50.0m
75.0m
100.0m
125.0m
150.0m
175.0m
200.0m
225.0m
250.0m
C:\ADuP\_Q C_Q A\QA#003\ssc\Kreis_F_.day
275.0m
300.0m
325.0m
350.0m
400.0m
! F[V
01.10.2016 10:25
Appendix 16a: Formant analysis with ADμP® – Formant F0 of spoken word "Kreis" in frequency range f = 115...125 Hz over t = 390 ms
'LDJUDP6LJQDOF\UHGJUHHQ LQSXDQGVLJQDOYDOXHVF\EOXH DW]HURSRLQWVF[XSRQWKHDEVFLVVDLQSX c.y = f( c.x, Phonem_... c.y = f( c.x, Phonem_... c0.y = f( c.x, Phon...
14.00k 13.00k 12.00k 11.00k 10.00k 9.00k 8.00k 7.00k 6.00k 5.00k 4.00k 3.00k 2.00k 1.00k
! F[V
0 -1.00k -2.00k -3.00k -4.00k -5.00k -6.00k -7.00k -8.00k -9.00k -10.00k -11.00k -12.00k 0
Christian E. Jacob
25.0m
50.0m
75.0m
100.0m
125.0m
150.0m
175.0m
200.0m
225.0m
250.0m
C:\ADuP\_Q C_Q A\QA#003\ssc\Kreis_F_.day
275.0m
300.0m
325.0m
350.0m
389.7m
01.10.2016 10:24
Appendix 16a: Formant analysis with ADμP® – Formant F0 of spoken word "Kreis" in frequency range f = 115...125 Hz over t = 390 ms
'LDJUDP3UHGLFWLRQSOUHG DQGUHDOQXPEHUVQORIPHPRU\FHOOVSHUKDOIYLEUDWLRQLQWUDQVLHQWUHFRUGHU
p.l1 = f( c.x, Phonem... d.l1 = f( c.x, Phone...
70.00 69.00 68.00 67.00 66.00 65.00 64.00 63.00 62.00 61.00 60.00 59.00 58.00 57.00 56.00 55.00 54.00 53.00 52.00 51.00 50.00 49.00 48.00 47.00 46.00 45.00 44.00 43.00 42.00 41.00 40.00 0
Christian E. Jacob
25.0m
50.0m
75.0m
100.0m
125.0m
150.0m
175.0m
200.0m
225.0m
250.0m
C:\ADuP\_Q C_Q A\QA#003\ssc\Kreis_F_.day
275.0m
300.0m
325.0m
350.0m 381.9m
! F[V
01.10.2016 10:24
Appendix 16a: Formant analysis with ADμP® – Formant F0 of spoken word "Kreis" in frequency range f = 115...125 Hz over t = 390 ms 'LDJUDP:HLJKWLQHVVZOUHG RISUHGLFWLRQSORIPHPRU\FHOOVGOSHUKDOIYLEUDWLRQLQWUDQVLHQWUHFRUGHUPXWXDOZHLJKWZ\ Z[WZ\Z\FZ\SJUHHQ
,QIRPXVWHULQIRUPDWLRQDOVFKHPD XORUDQJH RIZHLJKWLQHVVZOLQZHLJKWZ DQGSDFNHWVZLWFKE\EOXH DWWKLUGRXWSXWOHYHOLQWUXHIDOVH w.l1 = f( c.x, Phonem... w.y = f( c.x, Phone... b.y = f( c.x, Phonem_... u.l1 = f( c.x, Phonem...
1.050 1.000 0.950 0.900 0.850 0.800 0.750 0.700 0.650 0.600 0.550 0.500 0.450 0.400 0.350 0.300 0.250 0.200 0.150 0.100 0.050
! F[V
0 -0.050 0
Christian E. Jacob
25.0m
50.0m
75.0m
100.0m
125.0m
150.0m
175.0m
200.0m
225.0m
250.0m
C:\ADuP\_Q C_Q A\QA#003\ssc\Kreis_F_.day
275.0m
300.0m
325.0m
350.0m 381.9m
01.10.2016 10:24
Appendix 16a: Formant analysis with ADμP® – Formant F0 of spoken word "Kreis" in frequency range f = 115...125 Hz over t = 390 ms
'LDJUDP&RXQWHULOUHG DWVHFRQGRXWSXWOHYHOFRXQWHULOJUHHQ GRXEOHLQGH[EOXH DQGVXPRIVWHSVQORUDQJH FRQFHQWUDWHLQRQHEORFNE\DWWKLUGRXWSXWOHYHO i.l2 = f( c.x, Phonem_... i.l3 = f( c.x, Phonem_... index = f( c.x, Phone... n.l3 = f( c.x, Phone...
105.0 100.0 95.0 90.0 85.0 80.0 75.0 70.0 65.0 60.0 55.0 50.0 45.0 40.0 35.0 30.0 25.0 20.0 15.0 10.0 5.0 0 0
Christian E. Jacob
25.0m
50.0m
75.0m
100.0m
125.0m
150.0m
175.0m
200.0m
225.0m
250.0m
C:\ADuP\_Q C_Q A\QA#003\ssc\Kreis_F_.day
275.0m
300.0m
325.0m
350.0m 381.9m
! F[V
01.10.2016 10:24
Appendix 16a: Formant analysis with ADμP® – Formant F0 of spoken word "Kreis" in frequency range f = 115...125 Hz over t = 390 ms
'LDJUDP3UHGLFWLRQS[WUHG GLVFUHWHG[WJUHHQ DQGFRQWLQXRXVF[WEOXH FRXUVHV,QIRPXVWHULQIRUPDWLRQDO6FKHPD fl.xtRUDQJH RIOHIWKDOISHULRGHIU[WPDJHQWD RIULJWKKDOISHULRGH DQGI[WOLJKWEOXH RISHULRGGXUDWLRQRIIXQGDPHQWDOYLEUDWLRQLQV p.xt = f( c.x, Phonem... d.xt = f( c.x, Phone... c.xt = f( c.x, Phonem... fl.xt = f( c.x, Phonem... fr.xt = f( c.x, Phonem... f.xt = f( c.x, Phonem...
9.000m 8.800m 8.600m 8.400m 8.200m 8.000m 7.800m 7.600m 7.400m 7.200m 7.000m 6.800m 6.600m 6.400m 6.200m 6.000m 5.800m 5.600m 5.400m 5.200m 5.000m 4.800m 4.600m 4.400m 4.200m 4.000m 3.800m 3.500m 0
Christian E. Jacob
25.0m
50.0m
75.0m
100.0m
125.0m
150.0m
175.0m
200.0m
225.0m
250.0m
C:\ADuP\_Q C_Q A\QA#003\ssc\Kreis_F_.day
275.0m
300.0m
325.0m
350.0m
389.7m
! F[V
01.10.2016 10:23
Appendix 16a: Formant analysis with ADμP® – Formant F0 of spoken word "Kreis" in frequency range f = 115...125 Hz over t = 390 ms
'LDJUDP:HLJKWLQHVVZ[WUHG RISUHGLFWLRQS[WRISHULRGGXUDWLRQG[WRIIXQGDPHQWDOYLEUDWLRQPXWXDOZHLJKWZ\ Z[WZ\Z\FZ\SJUHHQ ,QIRPXVWHULQIRUPDWLRQDOVFKHPD X[WRUDQJH RIZHLJKWLQHVVZ[WLQZHLJKWZ DQGSDFNHWVZLWFKE\EOXH DWWKLUGRXWSXWOHYHOLQWUXHIDOVH w.xt = f( c.x, Phonem... w.y = f( c.x, Phone... b.y = f( c.x, Phonem_... u.xt = f( c.x, Phonem...
1.050 1.000 0.950 0.900 0.850 0.800 0.750 0.700 0.650 0.600 0.550 0.500 0.450 0.400 0.350 0.300 0.250 0.200 0.150 0.100 0.050
! F[V
0 -0.050 0
Christian E. Jacob
25.0m
50.0m
75.0m
100.0m
125.0m
150.0m
175.0m
200.0m
225.0m
250.0m
C:\ADuP\_Q C_Q A\QA#003\ssc\Kreis_F_.day
275.0m
300.0m
325.0m
350.0m 381.9m
01.10.2016 10:23
Appendix 16a: Formant analysis with ADμP® – Formant F0 of spoken word "Kreis" in frequency range f = 115...125 Hz over t = 390 ms
'LDJUDP'LVFUHWHG[IUHG FRQWLQXRXVF[IJUHHQ FRXUVHVDQG,QIRPXVWHULQIRUPDWLRQDOVFKHPD f.xfEOXH RIIUHTXHQF\RIIXQGDPHQWDOYLEUDWLRQLQHz d.xf = f( c.x, Phone... c.xf = f( c.x, Phonem... f.xf = f( c.x, Phonem_...
140.0 138.0 136.0 134.0 132.0 130.0 128.0 126.0 124.0 122.0 120.0 118.0 116.0 114.0 112.0 110.0 108.0 106.0 104.0 102.0 100.0 0
Christian E. Jacob
25.0m
50.0m
75.0m
100.0m
125.0m
150.0m
175.0m
200.0m
225.0m
250.0m
C:\ADuP\_Q C_Q A\QA#003\ssc\Kreis_F_.day
275.0m
300.0m
325.0m
350.0m
389.7m
! F[V
01.10.2016 10:23
Appendix 16a: Formant analysis with ADμP® – Formant F0 of spoken word "Kreis" in frequency range f = 115...125 Hz over t = 390 ms
'LDJUDP3UHGLFWLRQS\UHG GLVFUHWHG\JUHHQ FRQWLQXRXVF\EOXH FRXUVHVDQG,QIRPXVWHULQIRUPDWLRQDOVFKHPD I\RUDQJH RIDYDUDJHYDOXH$9 LQSX
p.y0 = f( c.x, Phonem... d.y0 = f( c.x, Phon... c.y0 = f( c.x, Phonem... f.y0 = f( c.x, Phonem...
500.0 450.0 425.0 400.0 375.0 350.0 325.0 300.0 275.0 250.0 225.0 200.0 175.0 150.0 125.0 100.0 75.0 50.0 25.0 0 -25.0 -50.0 -75.0 -100.0 -125.0 -150.0 -175.0 -200.0 -225.0 -250.0 -275.0 -300.0 -325.0 -350.0 -375.0 -400.0 -425.0 -450.0
! F[V
-500.0 0
Christian E. Jacob
25.0m
50.0m
75.0m
100.0m
125.0m
150.0m
175.0m
200.0m
225.0m
250.0m
C:\ADuP\_Q C_Q A\QA#003\ssc\Kreis_F_.day
275.0m
300.0m
325.0m
350.0m
389.7m
01.10.2016 10:23
Appendix 16a: Formant analysis with ADμP® – Formant F0 of spoken word "Kreis" in frequency range f = 115...125 Hz over t = 390 ms
'LDJUDP:HLJKWLQHVVZ\UHG RISUHGLFWLRQS\RIDYDUDJHYDOXHG\RIVLJQDOF\PXWXDOZHLJKWZ\ Z[WZ\Z\FZ\SJUHHQ ,QIRPXVWHU LQIRUPDWLRQDOVFKHPD X\RUDQJH RIZHLJKWLQHVVZ\LQZHLJKWZ DQGSDFNHWVZLWFKE\EOXH DWWKLUGRXWSXWOHYHOLQWUXHIDOVH w.y0 = f( c.x, Phone... w.y = f( c.x, Phone... b.y = f( c.x, Phonem_... u.y0 = f( c.x, Phonem...
1.050 1.000 0.950 0.900 0.850 0.800 0.750 0.700 0.650 0.600 0.550 0.500 0.450 0.400 0.350 0.300 0.250 0.200 0.150 0.100 0.050
! F[V
0 -0.050 0
Christian E. Jacob
25.0m
50.0m
75.0m
100.0m
125.0m
150.0m
175.0m
200.0m
225.0m
250.0m
C:\ADuP\_Q C_Q A\QA#003\ssc\Kreis_F_.day
275.0m
300.0m
325.0m
350.0m 381.9m
01.10.2016 10:23
Appendix 16a: Formant analysis with ADμP® – Formant F0 of spoken word "Kreis" in frequency range f = 115...125 Hz over t = 390 ms
'LDJUDP3UHGLFWLRQS\FUHG DQGGLVFUHWHYDOXHG\FJUHHQ RIDPSOLWXGHRIIXQGDPHQWDOYLEUDWLRQGLVFUHWHUHDOSDUWG\DEOXH GLVFUHWHLPDJLQSDUWG\ERUDQJH FRQWLQXRXVF\PDJHQWD FRXUVHRIEDFNWUDQVIRUPHGIXQGDPHQWDOYLEUDWLRQ,QIRPXVWHULQIRUPDWLRQDOVFKHPD IO\FOLJKWEOXH RIOHIWDQGIU\FEURZQ RIULJKWDPSOLWXGHLQSX p.y1c = f( c.x, Phone... d.y1c = f( c.x, Pho... d.y1a = f( c.x, Phone... d.y1b = f( c.x, Phone... c.y1 = f( c.x, Phonem... fl.y1c = f( c.x, Phone... fr.y1c = f( c.x, Phone...
8.000k 7.500k 7.000k 6.500k 6.000k 5.500k 5.000k 4.500k 4.000k 3.500k 3.000k 2.500k 2.000k 1.500k 1.000k 0.500k
! F[V
0 -0.500k -1.000k -1.500k -2.000k -2.500k -3.000k -3.500k -4.000k -4.500k -5.000k -5.500k -6.000k -6.500k -7.000k -8.000k 0
Christian E. Jacob
25.0m
50.0m
75.0m
100.0m
125.0m
150.0m
175.0m
200.0m
225.0m
250.0m
C:\ADuP\_Q C_Q A\QA#003\ssc\Kreis_F_.day
275.0m
300.0m
325.0m
350.0m
389.7m
01.10.2016 10:22
Appendix 16a: Formant analysis with ADμP® – Formant F0 of spoken word "Kreis" in frequency range f = 115...125 Hz over t = 390 ms
'LDJUDP:HLJKWLQHVVZ\FUHG RISUHGLFWLRQS\FRIDPSOLWXGHRIIXQGDPHQWDOYLEUDWLRQG\FPXWXDOZHLJKWZ\ Z[WZ\Z\FZ\SJUHHQ ,QIRPXVWHULQIRUPDWLRQDOVFKHPD X\FRUDQJH RIZHLJKWLQHVVZ\FLQZHLJKWZ DQG packet-switch E\EOXH DWWKLUGRXWSXWOHYHOLQWUXHIDOVH w.y1c = f( c.x, Phone... w.y = f( c.x, Phone... b.y = f( c.x, Phonem_... u.y1c = f( c.x, Phone...
1.050 1.000 0.950 0.900 0.850 0.800 0.750 0.700 0.650 0.600 0.550 0.500 0.450 0.400 0.350 0.300 0.250 0.200 0.150 0.100 0.050
! F[V
0 -0.050 0
Christian E. Jacob
25.0m
50.0m
75.0m
100.0m
125.0m
150.0m
175.0m
200.0m
225.0m
250.0m
C:\ADuP\_Q C_Q A\QA#003\ssc\Kreis_F_.day
275.0m
300.0m
325.0m
350.0m 381.9m
01.10.2016 10:22
Appendix 16a: Formant analysis with ADμP® – Formant F0 of spoken word "Kreis" in frequency range f = 115...125 Hz over t = 390 ms
'LDJUDP3UHGLFWLRQSO\SUHG GLVFUHWHYDOXHGO\SJUHHQ DQG,QIRPXVWHULQIRUPDWLRQDOVFKHPD IO\SOLJKWEOXH RIOHIWSKDVHRIIXQGDPHQWDOYLEUDWLRQ DVZHOOSUHGLFWLRQSU\SJUHHQ GLVFUHWHYDOXHGU\SJUHHQ DQG,QIRPXVWHULQIRUPDWLRQDOVFKHPD IU\SOLJKWEOXH RIULJKWSKDVHRIIXQGDPHQWDOYLEUDWLRQLQGHJ pl.x1p = f( c.x, Phone... pr.x1p = f( c.x, Phon... dl.x1p = f( c.x, Pho... dr.x1p = f( c.x, Ph... fl.x1p = f( c.x, Phone... fr.x1p = f( c.x, Phone...
6.800 6.750 6.700 6.650 6.600 6.550 6.500 6.450 6.400 6.350 6.300 6.250 6.200 6.150 6.100 6.050 6.000 5.950 5.900 5.850 5.800 0
Christian E. Jacob
25.0m
50.0m
75.0m
100.0m
125.0m
150.0m
175.0m
200.0m
225.0m
250.0m
C:\ADuP\_Q C_Q A\QA#003\ssc\Kreis_F_.day
275.0m
300.0m
325.0m
350.0m 381.9m
! F[V
01.10.2016 10:22
Appendix 16a: Formant analysis with ADμP® – Formant F0 of spoken word "Kreis" in frequency range f = 115...125 Hz over t = 390 ms
'LDJUDP:HLJKWLQHVVZ\SUHG RISUHGLFWLRQS\SRISKDVHRIIXQGDPHQWDOYLEUDWLRQG\SPXWXDOZHLJKWZ\ Z[WZ\Z\FZ\SJUHHQ ,QIRPXVWHULQIRUPDWLRQDOVFKHPD X\SRUDQJH RIZHLJKWLQHVVZ\SLQZHLJKWZ DQGpacket-switchE\EOXH DWWKLUGRXWSXWOHYHOLQWUXHIDOVH w.x1p = f( c.x, Phone... w.y = f( c.x, Phone... b.y = f( c.x, Phonem_... u.x1p = f( c.x, Phone...
1.050 1.000 0.950 0.900 0.850 0.800 0.750 0.700 0.650 0.600 0.550 0.500 0.450 0.400 0.350 0.300 0.250 0.200 0.150 0.100 0.050
! F[V
0 -0.050 0
Christian E. Jacob
25.0m
50.0m
75.0m
100.0m
125.0m
150.0m
175.0m
200.0m
225.0m
250.0m
C:\ADuP\_Q C_Q A\QA#003\ssc\Kreis_F_.day
275.0m
300.0m
325.0m
350.0m 381.9m
01.10.2016 10:22
Appendix 16a: Formant analysis with ADμP® – Formant F0 of spoken word "Kreis" in frequency range f = 115...125 Hz over t = 390 ms
'LDJUDP'HWDLOVRIVLJQDOF\UHGJUHHQ FRQWLQXRXVFRXUVHRIEDFNWUDQVIRUPHGIXQGDPHQWDOYLEUDWLRQF\EOXH LQSXDQGSURFHGXUHVWDWHVRUDQJH LQOHIWULJKW 14.00k
c.y = f( c.x, Phonem_... c.y = f( c.x, Phonem_... c.y1 = f( c.x, Phonem... states = f( c.x, Phone...
13.00k 12.00k 11.00k 10.00k 9.00k 8.00k 7.00k 6.00k 5.00k 4.00k 3.00k 2.00k 1.00k
! F[V
0 -1.00k -2.00k -3.00k -4.00k -5.00k -6.00k -7.00k -8.00k -9.00k -10.00k -11.00k -12.00k 120.0m
Christian E. Jacob
130.0m 135.0m 140.0m 145.0m 150.0m 155.0m 160.0m 165.0m 170.0m 175.0m 180.0m 185.0m 190.0m 195.0m 200.0m
C:\ADuP\_Q C_Q A\QA#003\ssc\Kreis_F_.day
210.0m
01.10.2016 10:22
Appendix 16a: Formant analysis with ADμP® – Formant F0 of spoken word "Kreis" in frequency range f = 115...125 Hz over t = 390 ms
'LDJUDP'HWDLOVRIVLJQDOF\UHGJUHHQ FRQWLQXRXVFRXUVHRIEDFNWUDQVIRUPHGIXQGDPHQWDOYLEUDWLRQF\EOXH LQSXDQGSURFHGXUHVWDWHVRUDQJH LQOHIWULJKW 14.00k
c.y = f( c.x, Phonem_... c.y = f( c.x, Phonem_... c.y1 = f( c.x, Phonem... states = f( c.x, Phone...
13.00k 12.00k 11.00k 10.00k 9.00k 8.00k 7.00k 6.00k 5.00k 4.00k 3.00k 2.00k 1.00k
! F[V
0 -1.00k -2.00k -3.00k -4.00k -5.00k -6.00k -7.00k -8.00k -9.00k -10.00k -11.00k -12.00k 210.0m 225.0m
Christian E. Jacob
237.5m
250.0m
262.5m
275.0m
287.5m
300.0m
312.5m
325.0m
C:\ADuP\_Q C_Q A\QA#003\ssc\Kreis_F_.day
337.5m
350.0m
362.5m
375.0m 389.7m
01.10.2016 10:21
Appendix 16a: Formant analysis with ADμP® – Formant F0 of spoken word "Kreis" in frequency range f = 115...125 Hz over t = 390 ms
'LDJUDP&RQWLQXRXVFRXUVHVF\\ F\F\UHG F\\\ F\F\G\JUHHQ as formants F0 LQSXDQGpacket-switchE\RUDQJH DWWKLUGRXWSXWOHYHOLQWUXHIDOVH 14.00k
c.yy1 = f( c.x, Phone... c.yy1y0 = f( c.x, Pho... b.y = f( c.x, Phonem_...
13.00k 12.00k 11.00k 10.00k 9.00k 8.00k 7.00k 6.00k 5.00k 4.00k 3.00k 2.00k 1.00k 0
! F[V
-1.00k -2.00k -3.00k -4.00k -5.00k -6.00k -7.00k -8.00k -9.00k -10.00k -11.00k -12.00k 0
Christian E. Jacob
25.0m
50.0m
75.0m
100.0m
125.0m
150.0m
175.0m
200.0m
225.0m
250.0m
C:\ADuP\_Q C_Q A\QA#003\ssc\Kreis_F_.day
275.0m
300.0m
325.0m
350.0m
389.7m
01.10.2016 10:21
Appendix 16a: Formant analysis with ADμP® – Formant F0 of spoken word "Kreis" in frequency range f = 115...125 Hz over t = 390 ms
'LDJUDP6LJQDOF\UHGJUHHQ GLVFUHWHDYHUDJHDEVROXWHYDOXHG\UFEOXH GLVFUHWHURRWPHDQVTXDUHYDOXH506 G\UPVRUDQJH packet-switchE\PDJHQWD DWWKLUGRXWSXWOHYHOLQ WUXHIDOVH,QIRPXVWHULQIRUPDWLRQDOVFKHPD I\UFOLJKWEOXH RIGLVFUHWHDYHUDJHDEVROXWHYDOXHG\UFDQGI\UPVEURZQ RIGLVFUHWHURRWPHDQVTXDUHYDOXH506 G\UPVLQSX 14.00k
c.y = f( c.x, Phonem_... c.y = f( c.x, Phonem_... d.y0rc = f( c.x, Phone... d.yrms = f( c.x, Phon... b.y = f( c.x, Phonem_... f.y0rc = f( c.x, Phone... f.yrms = f( c.x, Phone...
13.00k 12.00k 11.00k 10.00k 9.00k 8.00k 7.00k 6.00k 5.00k 4.00k 3.00k 2.00k 1.00k 0
! F[V
-1.00k -2.00k -3.00k -4.00k -5.00k -6.00k -7.00k -8.00k -9.00k -10.00k -11.00k -12.00k 0
Christian E. Jacob
25.0m
50.0m
75.0m
100.0m
125.0m
150.0m
175.0m
200.0m
225.0m
250.0m
C:\ADuP\_Q C_Q A\QA#003\ssc\Kreis_F_.day
275.0m
300.0m
325.0m
350.0m
389.7m
01.10.2016 10:21
Appendix 16a: Formant analysis with ADμP® – Formant F0 of spoken word "Kreis" in frequency range f = 115...125 Hz over t = 390 ms
'LDJUDP&RXUVHRIGLVFUHWHIRUPIDFWRUG\NI G\UPVG\UFUHG ,QIRPXVWHULQIRUPDWLRQDOVFKHPD I\NIJUHHQ DQGpacket-switchE\EOXH DWWKLUGRXWSXWOHYHOLQWUXHIDOVH
1.600 1.550
d.ykf = f( c.x, Phone... f.ykf = f( c.x, Phonem... b.y = f( c.x, Phonem_...
1.500 1.450 1.400 1.350 1.300 1.250 1.200 1.150 1.100 1.050 1.000 0.950 0.900 0.850 0.800 0.750 0.700 0.650 0.600 0.550 0.500 0.450 0.400 0.350 0.300 0.250 0.200 0.150 0.100 0 0
Christian E. Jacob
25.0m
50.0m
75.0m
100.0m
125.0m
150.0m
175.0m
200.0m
225.0m
250.0m
C:\ADuP\_Q C_Q A\QA#003\ssc\Kreis_F_.day
275.0m
300.0m
325.0m
!
350.0m 381.9m F[V
01.10.2016 10:21
Appendix 16a: Formant analysis with ADμP® – Formant F0 of spoken word "Kreis" in frequency range f = 115...125 Hz over t = 390 ms
'LDJUDP,QIRPXVWHULQIRUPDWLRQDOVFKHPD XOUHG RIZHLJKWZOX[WJUHHQ RIZHLJKWZ[WX\EOXH RIZHLJKWZ\X\FRUDQJH RIZHLJKWZ\FDQG X\SPDJHQWD RIZHLJKWZ\SRISUHGLFWLRQVSOS[WS\S\FDQGS\SLQZHLJKWZ DQGpacket-switchE\OLJKWEOXH DWWKLUGRXWSXWOHYHOLQWUXHIDOVH 1.050
u.l1 = f( c.x, Phonem... u.xt = f( c.x, Phonem... u.y0 = f( c.x, Phonem... u.y1c = f( c.x, Phone... u.x1p = f( c.x, Phone... b.y = f( c.x, Phonem_...
1.000 0.950 0.900 0.850 0.800 0.750 0.700 0.650 0.600 0.550 0.500 0.450 0.400 0.350 0.300 0.250 0.200 0.150 0.100 0.050
! F[V
0 -0.050 0
Christian E. Jacob
25.0m
50.0m
75.0m
100.0m
125.0m
150.0m
175.0m
200.0m
225.0m
250.0m
C:\ADuP\_Q C_Q A\QA#003\ssc\Kreis_F_.day
275.0m
300.0m
325.0m
350.0m 381.9m
01.10.2016 10:20
Appendix 16a: Formant analysis with ADμP® – Formant F0 of spoken word "Kreis" in frequency range f = 115...125 Hz over t = 390 ms
'LDJUDP&RXQWHULOUHG DWVHFRQGRXWSXWOHYHOFRXQWHULOJUHHQ DQGVXPRIVWHSVQOEOXH FRQFHQWUDWHLQRQHEORFNE\DWWKLUGRXWSXWOHYHOUHSUHVHQWHGRYHUGRXEOHLQGH[RUDQJH
i.l2 = f( index, Phone... i.l3 = f( index, Phone... n.l3 = f( index, Pho... b.y = f( index, Phone...
100.00 95.00 90.00 85.00 80.00 75.00 70.00 65.00 60.00 55.00 50.00 45.00 40.00 35.00 30.00 25.00 20.00 15.00 10.00 5.00 0 0
Christian E. Jacob
2.50
5.00
7.50
10.00
12.50
15.00
17.50
20.00
22.50
25.00
27.50
C:\ADuP\_Q C_Q A\QA#003\ssc\Kreis_F_.day
30.00
32.50
35.00
37.50
!
42.10 LQGH[
01.10.2016 10:20
Appendix 16a: Formant analysis with ADμP® – Formant F0 of spoken word "Kreis" in frequency range f = 115...125 Hz over t = 390 ms
'LDJUDP,QIRPXVWHULQIRUPDWLRQDOVFKHPD XOUHG RIZHLJKWZOX[WJUHHQ RIZHLJKWZ[WX\EOXH RIZHLJKWZ\X\FRUDQJH RIZHLJKWZ\FDQGX\SPDJHQWD RIZHLJKW Z\SRISUHGLFWLRQVSOS[WS\S\FDQGS\SLQweight (0 < w < 1)DQGpacket-switchE\OLJKWEOXH DWWKLUGRXWSXWOHYHOLQWUXHIDOVHUHSUHVHQWHGRYHUGRXEOHLQGH[RUDQJH u.l1 = f( index, Pho... u.xt = f( index, Pho... u.y0 = f( index, Ph... u.y1c = f( index, P... u.x1p = f( index, P... b.y = f( index, Phone...
1000.0m 950.0m 900.0m 850.0m 800.0m 750.0m 700.0m 650.0m 600.0m 550.0m 500.0m 450.0m 400.0m 350.0m 300.0m 250.0m 200.0m 150.0m 100.0m 50.0m 0 0
Christian E. Jacob
5.00
10.00
15.00
20.00
25.00
C:\ADuP\_Q C_Q A\QA#003\ssc\Kreis_F_.day
30.00
35.00
!
42.10 LQGH[
01.10.2016 10:20
Appendix 16a: Formant analysis with ADμP® – Formant F0 of spoken word "Kreis" in frequency range f = 115...125 Hz over t = 390 ms
'LDJUDP,QIRPXVWHULQIRUPDWLRQDOVFKHPDWD IO[WUHG FRXUVHRIGLVFUHWHOHIWKDOISHULRGGO[Wof IU[WJUHHQ FRXUVHRIGLVFUHWHULJKWKDOISHULRGGU[WDQGof I[WEOXH FRXUVHRIGLVFUHWHKDOISHULRGG[WDQGpacket-switchE\RUDQJH DWWKLUGRXWSXWOHYHOLQWUXHIDOVHUHSUHVHQWHGRYHUGRXEOHindexRUDQJH fl.xt = f( index, Pho... fr.xt = f( index, Ph... f.xt = f( index, Pho... 5m * b.y = f( index, ...
10.000m 9.500m 9.000m 8.500m 8.000m 7.500m 7.000m 6.500m 6.000m 5.500m 5.000m 4.500m 4.000m 3.500m 3.000m 2.500m 2.000m 1.500m 1.000m 0.500m 0 0
Christian E. Jacob
5.00
10.00
15.00
20.00
25.00
C:\ADuP\_Q C_Q A\QA#003\ssc\Kreis_F_.day
30.00
35.00
!
42.10 LQGH[
01.10.2016 10:20
Appendix 16a: Formant analysis with ADμP® – Formant F0 of spoken word "Kreis" in frequency range f = 115...125 Hz over t = 390 ms
'LDJUDP,QIRPXVWHULQIRUPDWLRQDOVFKHPDWD I[IUHG FRXUVHRIGLVFUHWHSHULRGG[IDQGpacket-switchE\JUHHQ DWWKLUGRXWSXWOHYHOLQWUXHIDOVHUHSUHVHQWHGRYHUGRXEOHLQGH[
f.xf = f( index, Pho... 1k * b.y = f( index, P...
1000.0 966.7 933.3 900.0 866.7 833.3 800.0 766.7 733.3 700.0 666.7 633.3 600.0 566.7 533.3 500.0 466.7 433.3 400.0 366.7 333.3 300.0 266.7 233.3 200.0 166.7 133.3 100.0 66.7 33.3 0 0
Christian E. Jacob
5.00
10.00
15.00
20.00
25.00
C:\ADuP\_Q C_Q A\QA#003\ssc\Kreis_F_.day
30.00
35.00
!
42.10 LQGH[
01.10.2016 10:19
Appendix 16a: Formant analysis with ADμP® – Formant F0 of spoken word "Kreis" in frequency range f = 115...125 Hz over t = 390 ms
'LDJUDP,QIRPXVWHULQIRUPDWLRQDOVFKHPDWD I\UHG RIFRXUVHG\IO\FJUHHQ RIFRXUVHGO\FIU\FEOXH RIFRXUVHGU\FI\UFRUDQJH RIFRXUVHG\UF I\UPVPDJHQWD RIFRXUVHG\UPVLQSXDQGpacket-switchE\OLJKWEOXH DWWKLUGRXWSXWOHYHOLQWUXHIDOVHUHSUHVHQWHGRYHUGRXEOHLQGH[ f.y0 = f( index, Pho... fl.y1c = f( index, P... fr.y1c = f( index, P... f.y0rc = f( index, P... f.yrms = f( index, P... b.y = f( index, Phone...
6.000k 5.600k 5.400k 5.200k 5.000k 4.800k 4.600k 4.400k 4.200k 4.000k 3.800k 3.600k 3.400k 3.200k 3.000k 2.800k 2.600k 2.400k 2.200k 2.000k 1.800k 1.600k 1.400k 1.200k 1.000k 0.800k 0.600k 0.400k 0.200k 0 -0.200k -0.400k -0.600k -0.800k -1.200k 0
Christian E. Jacob
5.00
10.00
15.00
20.00
25.00
C:\ADuP\_Q C_Q A\QA#003\ssc\Kreis_F_.day
30.00
35.00
!
42.10 LQGH[
01.10.2016 10:19
Appendix 16a: Formant analysis with ADμP® – Formant F0 of spoken word "Kreis" in frequency range f = 115...125 Hz over t = 390 ms
'LDJUDP,QIRPXVWHULQIRUPDWLRQDOVFKHPDWD IO[SUHG FRXUVHRIGLVFUHWHOHIWKDOISKDVHGO[SIU[SJUHHQ FRXUVHRIGLVFUHWHULJKWKDOISKDVHGU[SLQGHJ FRXUVHRIGLVFUHWHIRUPIDFWRUG\NI G\UPVG\UFEOXH DQGpacket-switchE\OLJKWEOXH DWWKLUGRXWSXWOHYHOLQWUXHIDOVHUHSUHVHQWHGRYHUGRXEOHLQGH[ fl.x1p = f( index, P... fr.x1p = f( index, P... f.ykf = f( index, Ph... b.y = f( index, Phone...
7.650 7.400 7.200 7.000 6.800 6.600 6.400 6.200 6.000 5.800 5.600 5.400 5.200 5.000 4.800 4.600 4.400 4.200 4.000 3.800 3.600 3.400 3.200 3.000 2.800 2.600 2.400 2.200 2.000 1.800 1.600 1.400 1.200 1.000 0.800 0.600 0.400 0 0
Christian E. Jacob
5.00
10.00
15.00
20.00
25.00
C:\ADuP\_Q C_Q A\QA#003\ssc\Kreis_F_.day
30.00
35.00
!
42.10 LQGH[
01.10.2016 10:19