SDIF Types CVS Revision: 
  $Id: sdiftypes.xml,v 1.7 2000/08/22 18:01:06 peeters Exp $
| Supporting Types | 
| Types used in different contexts | 
window-enumeration.text
      | Fundamental Frequency Estimation | 
| Sinusoidal Modeling | 
| Spectral Envelopes, Transfer Functions and Filters | 
| Resonances | 
        amp(t) = initial_amp * e ^ (- decay_rate * t)
     
     The phase of a resonance specifies the initial phase 
     of each decaying sinusoid. 
     Ircam's programs still in the previous definition,
     i.e. columns 3 to 5 being:
     Therefore the following columns should be that of 2RES:
| Fourier Transform | 
Let x(n) =   s(i+n) * w(n)  for  0 lessThanOrEqual n lessThanOrEqual M-1
    x(n) =   0              for  M lessThanOrEqual n lessThanOrEqual N-1
     
(This is slightly redundant, since we define w(m)=0 when m>=M.)
The 1STF matrix data is the Discrete Fourier Transform (DFT) of size N, i.e. the X(k) as follows. 
The DFT is a length N vector X, with these elements: 
     
              N-1
       X(k) = sum  x(n) * exp(-j * 2 * pi * k * n/N)
              n=0
       0 lessThanOrEqual k lessThanOrEqual N-1
     
The time tag in a 1STF frame is the time of the center of the window, i.e., (i + M/2)/SR, not the beginning.
| Energy | 
                    m+N-1
       E(k) = 1/N *  sum  x(n) * x(n)
                    n=m
     
    The time of the frame should be the center of the interval
    [m, m+N-1].
    | Time-Domain Samples | 
| Time markers | 
Method: 1
Definition: phase +Pi/2 of the 1st partial SINUSOID which represents this partial
Note: To be coherent with additive partial , a partial is represented
by a sinusoid. The interesting point is at phase +Pi/2 since it is
closer to the maximum of energy needed for PSOLA.
Method: 2
Definition: group delay 
Note: In brief, an amplitude wheigted mean group
delay provides a delay which, added to the begining time of the
analysis frame gives the time of the mark
Method: 3
Definition: Glottale closure
Note: A method developed for speech
Method: 4
Definition:Maximum of energy synchronised with F0       
Note: Needs a precise definition
Method: 5 ...
| Voiced-Unvoiced Decision | 
| jMax Physical Model Parameters | 
| About This Document | |||
| This document types-doc.html generated Tue Aug 22 20:33:24 2000 by xmltohtml.pl from sdiftypes.xml | |||
| Generation | schwarz | Tue Aug 22 20:33:24 2000 | kethuk.ircam.fr /u/formes/schwarz/src/SDIF/types | 
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| Generator | xmltohtml.pl | Tue Aug 22 18:21:48 2000 | $Id: xmltohtml.pl,v 1.10 2000/08/22 16:21:48 schwarz Exp $ | 
| Source file | sdiftypes.xml | Tue Aug 22 20:33:15 2000 | $Id: sdiftypes.xml,v 1.7 2000/08/22 18:01:06 peeters Exp $ | 
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