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Moreover, thermal and chemical interactions between components restrict the use of linear approximations for the mass transfer models.
Listening tests were conducted to validate the use of linear approximations in this context.
Section 5.2 reports the results of a listening test carried out to validate the use of linear approximations of glottal parameter contours, conducted in a similar manner to a previous listening test carried out to validate the use of linear approximations to pitch contours [21].
It should be noted that the measure of primary interest was how often listeners picked the same emotions for both versions of an utterance (one synthesised with linear approximations to parameter contours and one synthesised with actual contours) and not the actual accuracy of subjective classification since the aim of the listening tests was to validate the use of linear approximations.
Furthermore, extending a previously developed AER system, which made use of linear approximations to pitch contours as features, to take into account linear approximations to contours of other parameters of the source-filter model as well, led to a relative increase in classification accuracy of 9.6% on the Emotional Prosody Speech and Transcripts corpus.
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The next section describes the use of linear approximation 2 for the experiment because it is generally assumed that an external force applied to the end-effector increases as well as decreases.
This method is based on a novel use of piecewise linear approximations to characteristic functions along a grid, and its computation may be simplified using complex arithmetic.
Both approaches involve the use of linear stochastic approximation schemes [1, 2, 16], but they fell short of providing efficient equalization as the goal functions did not have any direct relationship with BER.
Regarding the use of a linear approximation, the qualitative similarity of the obtained results reassures us that the influence of the linearity assumption on the results of the paper is not that significant.
The aim of the study presented in this paper is to provide some initial results over the potential use of best linear approximation models in the design of model-based linear controllers for systems suffering nonlinear distortions.
Use of the linear approximation for F = f u) for all bonds except the contact one (the left part of expression (1A)), is quite reasonable, since till the moment of the contact bond instability, all other bonds are stretched almost linearly.
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