Itakura-Saito Distance

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The Itakura-Saito Distance is a measure of the perceptual difference between an original spectrum P(ω) and an approximation \hat{P}(\omega) of that spectrum. It was proposed by Fumitada Itakura and Shuzo Saito in the 1970s while they were with NTT.

The distance is defined as:

D_{IS}(P(\omega),\hat{P}(\omega))=\frac{1}{2\pi}\int_{-\pi}^{\pi} \left[ \frac{P(\omega)}{\hat{P}(\omega)}-\log \frac{P(\omega)}{\hat{P}(\omega)} - 1 \right] d\omega

It is worth noting that DIS(a,b) is not a true metric since it is not symmetric.

[edit] See also

Log-spectral distance

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