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

# LPC in physiological sense

Started by ●July 24, 2009

Posted by ●July 24, 2009

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.

Posted by ●July 24, 2009

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.

Posted by ●July 24, 2009

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.

Posted by ●July 24, 2009

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.

Posted by ●July 24, 2009

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.