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This proves the necessity of the sorting transformation and the DCT for achieving low reconstruction errors.
As an additional advantage, the sorting transformation greatly facilitates the quantization efficiency of the final conversion parameters.
Through the implementation of a new special inverse transformation, the amount of information required to invert the sorting transformation is reduced.
We sort the source and target vector coefficients (cepstral or residual) along each coordinate in ascending order as shown in Figure 2. The motivation behind the sorting transformation is found in the form of the conversion function.
The number of the generalized Gaussian mixture classes is set to 4 for all music signals because the sorting transformation allows us to use few classes, as mentioned in Section 4. For the same reason, the conversion parameters are uniformly quantized with only 12 bits.
In Section 3, the residual conversion method is described, as an extension of the statistical conversion algorithm of Section 2. In Section 4, we present the methods on reducing the conversion parameters size and specifically the sorting transformation method and its inverse.
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As we show later, we have improved on this step by using a more efficient, sorting transformation of the data that allows us to use fewer mixture components and thus reduce the conversion overhead.
In addition, both cepstral and residual errors are dramatically decreased by a feature-alignment scheme that employs a sorting transformation.
That is hardly the sort of transformation that party bosses were hoping to advertise.
It's the sort of transformation that happens to young and deeply capable bands plucked from relative obscurity — the bustling Minneapolis indie-rock scene in this case, but still — and delivered to the wider world.
It is just the sort of transformation that Ataturk would have wished for his countrymen.Yet experience of the Gastarbeiter has left Germans in two minds about Turkish entry into the EU.
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