8/2/2019 LPCCimportant !!

1/20

8/2/2019 LPCCimportant !!

2/20

8/2/2019 LPCCimportant !!

3/20

8/2/2019 LPCCimportant !!

4/20

8/2/2019 LPCCimportant !!

5/20

-

-

-

-

8/2/2019 LPCCimportant !!

6/20

-

8/2/2019 LPCCimportant !!

7/20

8/2/2019 LPCCimportant !!

8/20

1/z1/z 1/z

-1

GS(z)E (z)

(p)

B (z)

(p)

-kp

kp

-k2

k2

-k1

k1

-

-

-

-

- -

8/2/2019 LPCCimportant !!

9/20

-

8/2/2019 LPCCimportant !!

10/20

1 0.8 0.6 0.4 0.2 0 0.2 0.4 0.6 0.8 10

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

DependenceofResonantFrequencyonk,

|d/dk|

Reflection Coefficients k1 (for k2=0) and k2 (for |k1|=1)

Spectral Sensitivity of k1 (solid) and of k2 (dashed) in Second Order LPC

-

1 0.8 0.6 0.4 0.2 0 0.2 0.4 0.6 0.8 110

8

6

4

2

0

2

4

6

8

10

Reflection Coefficient k(i)

LogAreaRationg(i)

Log Area Ratio Companding

8/2/2019 LPCCimportant !!

11/20

A2A1 A3

Glottal Excitation

Radiated Speech

Loss Signal

Area=A0

Vocal Tract Resonator: Unyielding Walls, Discrete Area Function

-1k3 k2 k1

-k2-k3 -k1

EXCITATION

E(z)

LOSS

B(z)

SPEECH S(z)

-

-

-

-

-

8/2/2019 LPCCimportant !!

12/20

-

8/2/2019 LPCCimportant !!

13/20

A2Radiated Speech

A1 A3Closed

GlottisA0

Closed-Glottis Vocal Tract Model (Unyielding Walls)

-1+1

D(z)=E(z)+B(z)

k k k

-k -k -k

1

1

2

2

3

3

SPEECH S(z)

8/2/2019 LPCCimportant !!

14/20

A2Radiated Speech

A1 A3Glottis

A0Open

Open-Glottis Vocal Tract Model (Unyielding Walls)

-1k k k

-k -k -k

1

1

2

2

3

3

D(z)=E(z)-B(z)

-1

SPEECH S(z)

8/2/2019 LPCCimportant !!

15/20

8/2/2019 LPCCimportant !!

16/20

8/2/2019 LPCCimportant !!

17/20

8/2/2019 LPCCimportant !!

18/20

-

8/2/2019 LPCCimportant !!

19/20

8/2/2019 LPCCimportant !!

20/20

-

-

- -

-