Itakura–Saito distance

Itakura–Saito distance

The Itakura–Saito distance is a measure of the perceptual difference between an original spectrum P(omega) 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}{2pi}int_{-pi}^{pi} left [ frac{P(omega)}{hat{P}(omega)}-log frac{P(omega)}{hat{P}(omega)} - 1 ight] , domega

It is worth noting that D_{IS}(a,b) is not a true metric since it is not symmetric.

See also

* Log-spectral distance


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