Pitch prediction for use by a speech decoder to conceal packet loss

1. A pitch lag prediction method for use by a speech decoder to generate a predicted pitch lag parameter, the pitch lag prediction method comprising:

generating a first summation based on a plurality of previous pitch lag parameters from previously received speech frames by the speech decoder;

generating a second summation based on the plurality of previous pitch lag parameters and a position of each of the plurality of previous pitch lag parameters with respect to the predicted pitch lag parameter;

calculating, by the speech decoder, a first coefficient using a first equation based on the first summation and the second summation;

calculating, by the speech decoder, a second coefficient using a second equation based on the first summation and the second summation, wherein the first equation and the second equation are obtained as results of setting

∂

E

∂

a

⁢

⁢

and

⁢

⁢

∂

E

∂

b

to zero, where n is the number of the plurality of previous pitch lag parameters defined by P(i), and where P′(i) defines the predicted pitch lag parameter and where:

E

=

⁢

∑

i

=

0

n

-

1

⁢

[

(

P

′

⁡

(

i

)

-

P

⁡

(

i

)

]

2

=

⁢

∑

i

=

0

n

-

1

⁢

[

(

a

+

b

*

i

)

-

P

⁡

(

i

)

]

2

;

wherein a is the first coefficient, and b is the second coefficient;

predicting the predicted pitch lag parameter based on the first coefficient and the second coefficient; and

generating a decoded speech signal using the predicted pitch lag parameter.

2. The pitch lag prediction method of claim 1 , wherein the first summation is defined by

sum

⁢

⁢

0

=

∑

i

=

0

n

-

1

⁢

P

(

i

)

,

and wherein the second summation is defined by

sum

⁢

⁢

1

=

∑

i

=

0

n

-

1

⁢

i

*

P

⁡

(

i

)

.

3. The pitch lag prediction method of claim 1 , wherein the predicting includes generating the predicted pitch lag parameter by adding the first coefficient to a result of the second coefficient multiplied by n.

4. The pitch lag prediction method of claim 1 further comprising detecting a lost frame having a lost pitch lag parameter, wherein the predicted pitch lag parameter is generated for reconstructing the lost pitch lag parameter, in response to detecting the lost frame.

5. A speech decoder comprising:

a lost frame detector configured to detect a lost frame having a lost pitch lag parameter;

a pitch lag predictor configured to reconstruct the lost pitch lag parameter by generating a predicted pitch lag parameter and storing the predicted pitch lag parameter in a memory in response to the lost frame detector detecting the lost frame, the pitch lag predictor including:

a summation calculator configured to generate a first summation based on a plurality of previous pitch lag parameters from previously received speech frames by the speech decoder, the summation calculator further configured to generate a second summation based on the plurality of previous pitch lag parameters and a position of each of the plurality of previous pitch lag parameters with respect to the predicted pitch lag parameter;

a coefficient calculator configured to calculate a first coefficient using a first equation based on the first summation and the second summation, and the coefficient calculator further configured to calculate a second coefficient using a second equation based on the first summation and the second summation, wherein the first equation and the second equation are obtained as results of setting

∂

E

∂

a

⁢

⁢

and

⁢

⁢

∂

E

∂

b

 to zero, where n is the number of the plurality of previous pitch lag parameters defined by P(i), and where P′(i) defines the predicted pitch lag parameter and where:

E

=

⁢

∑

i

=

0

n

-

1

⁢

[

(

P

′

⁡

(

i

)

-

P

⁡

(

i

)

]

2

=

⁢

∑

i

=

0

n

-

1

⁢

[

(

a

+

b

*

i

)

-

P

⁡

(

i

)

]

2

;

wherein a is the first coefficient, and b is the second coefficient;

a predictor configured to generate the predicted pitch lag parameter based on the first coefficient and the second coefficient;

wherein the speech decoder generates a decoded speech signal using the predicted pitch lag parameter.

6. The speech decoder of claim 5 , wherein the first summation is defined by

sum

⁢

⁢

0

=

∑

i

=

0

n

-

1

⁢

P

⁡

(

i

)

,

and wherein the second summation is defined by

sum

⁢

⁢

1

=

∑

i

=

0

n

-

1

⁢

i

*

P

⁡

(

i

)

.

7. The speech decoder of claim 5 , wherein the predictor generates the predicted pitch lag parameter by adding the first coefficient to a result of the second coefficient multiplied by n.

8. A packet loss concealment method for use by a speech decoder, the packet loss concealment method comprising:

detecting a lost frame having a lost pitch lag parameter;

reconstructing the lost pitch lag parameter in response to the detecting of the lost frame, wherein the reconstructing includes:

calculating, by the speech decoder, a first coefficient and a second coefficient as results of setting

∂

E

∂

a

⁢

⁢

and

⁢

⁢

∂

E

∂

b

 to zero, where n is the number of a plurality of previous pitch lag parameters from previously received speech frames by the speech decoder, where P(i) defines the plurality of previous pitch lag parameters, and where P′(i) defines the predicted pitch lag parameter and where:

E

=

⁢

∑

i

=

0

n

-

1

⁢

[

(

P

′

⁡

(

i

)

-

P

⁡

(

i

)

]

2

=

⁢

∑

i

=

0

n

-

1

⁢

[

(

a

+

b

*

i

)

-

P

⁡

(

i

)

]

2

;

wherein a is the first coefficient, and b is the second coefficient;

predicting a predicted pitch lag parameter based on the first coefficient and the second coefficient; and

generating a decoded speech signal using the predicted pitch lag parameter.

9. The packet loss concealment method of claim 8 , wherein the predicting includes generating the predicted pitch lag parameter by adding the first coefficient to a result of the second coefficient multiplied by n.