Digital Signal Processing Reference
In-Depth Information
Fig. 11.2 Mean parameters of variational models in log-spectral domain generated by the
proposed model composition methods. Four-digit symbol of each plot indicates a combination
of perturbation factors (i.e., a ,0,or þ a ) for the selected four variational components
Step 3 - Model Composition by Mean Perturbation
A variation of the mean vector is generated by selectively applying the perturbation
factor f p to the determined variational components of the cepstral coefficients v 1 to
v V as follows:
m i ð 1 þ
f p Þ
if i
2f
v 1 ;
v 2 ; ...;
v V g
m i ¼
;
(11.3)
m i
otherwise
where f p ¼a
is a small positive value which we determine
heuristically. The obtained model collection {
,0,or
þ a
and the
a
2 )} consists of a total
3 V number of generated variational models as a result of combinations of the 3-
type gains of the V variational components.
In this study, we employed four variational components for the proposed model
compositionmethod. Figure 11.2 demonstrates several representative variational noise
models (i.e., mean parameters in the log-spectral domain) obtained by the proposed
model composition algorithm, showing various types of spectral patterns generated by
_ ,
(
m
s
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