Once the sinusoidal parameters are estimated, the peaks
of adjacent analysis frames are connected to form frequency tracks. This
is called ``Partial Tracking''. Usual partial tracking methods consider
three successive frames in order to construct a track. Since the time derivatives
of parameters are part of our model, it suffices to consider only two frames 
together. For each couple of peaks 
, a track-score 
is computed. In a frequency band, the couple that leads to the maximum
score (if this score is above a certain threshold) is chosen. If the maximum
score is below the threshold, there is a birth, a death or no track in
this band.
where 
and 
are the maximum curvature of 3rd order polynomials with the following boundary
conditions : for frequency 
, for amplitude 
. 
and 
are model parameters. Results obtained with (6)
are shown in Figure
2.
Figure: Partial Tracking method: frequency and
frequency slope estimations (thin dashed lines), partial births (thick
dashed lines), partials (thick lines), signal: female singing voice, window
size: 14 ms, analysis step: 7 ms
