LPC in physiological sense

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?
Where can i download such literature discussing the relation between
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
system +  radiation system.

On Jul 24, 2:36&#4294967295;pm, HyeeWang <hyeew...@gmail.com> wrote:
> The all pole model is as follows.
> &#4294967295;H(z) = G/(1-sum(ak*z.^k))
> where, &#4294967295;a is the lpc coefficients.
>
> The physiological &#4294967295;digital model is : exitation system + vocal tract
> system + &#4294967295;radiation system.

 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
>>system +  radiation system.
> 
> 
>  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.