# LPC in physiological sense

Started by July 24, 2009
```We can attain the all pole system function of speech from linear
prediction(LP). But how to correspond it with the digital model in
physiological sense?
them in detail?

questions: 1. what is the counterpart of the lpc all pole model in
physiological  sense?
2.  what is the counterpart of the input of lpc all pole
model then?

HyeeWang
```
```The all pole model is as follows.
H(z) = G/(1-sum(ak*z.^k))
where,  a is the lpc coefficients.

The physiological  digital model is : exitation system + vocal tract
```
```On Jul 24, 2:36&#2013266080;pm, HyeeWang <hyeew...@gmail.com> wrote:
> The all pole model is as follows.
> &#2013266080;H(z) = G/(1-sum(ak*z.^k))
> where, &#2013266080;a is the lpc coefficients.
>
> The physiological &#2013266080;digital model is : exitation system + vocal tract

H(z) = G/(1-sum(ak*z.^ -k))   .

It is -k,not k.
```
```
HyeeWang wrote:
> On Jul 24, 2:36 pm, HyeeWang <hyeew...@gmail.com> wrote:
>
>>The all pole model is as follows.
>> H(z) = G/(1-sum(ak*z.^k))
>>where,  a is the lpc coefficients.
>>
>>The physiological  digital model is : exitation system + vocal tract
>
>
>  H(z) = G/(1-sum(ak*z.^ -k))   .
>
>
> It is -k,not k.
```
```On Jul 24, 12:40=A0am, HyeeWang <hyeew...@gmail.com> wrote:
> On Jul 24, 2:36=A0pm, HyeeWang <hyeew...@gmail.com> wrote:
>
> > The all pole model is as follows.
> > =A0H(z) =3D G/(1-sum(ak*z.^k))
> > where, =A0a is the lpc coefficients.
>
> > The physiological =A0digital model is : exitation system + vocal tract
> > system + =A0radiation system.
>
> =A0H(z) =3D G/(1-sum(ak*z.^ -k)) =A0 .
>
> It is -k,not k.

This is a specific system. But in DSP point of view, you got to find
feed back loop in the counterpart system.
```
```HyeeWang wrote:

> 1. what is the counterpart of the lpc all pole model
> in physiological  sense?

None. The LP source-filter model is only phenomenological and cannot
be decomposed into models of the bodily contributors to voice
production. In particular the vocal folds do not produce a pure
impulse train, so a first step toward physiological correspondence
could be to record the actual excitation with a thorax microphone and
deconvolve the sound signal with that for the vocal tract response,
though this still leaves both parts as black boxes. For an example of
deeper modeling see:

Kob et al., Time-domain model of the singing voice, DAFx'99
ftp://ftp.funet.fi/pub/sci/audio/dafx/1999/www.tele.ntnu.no/akustikk/
meetings/DAFx99/kob.pdf

Martin

--
Quidquid latine scriptum est, altum videtur.
```