The log-spectral distance (LSD), also referred to as log-spectral distortion is a distance measure (expressed in dB) between two spectra. The log-spectral distance between spectra P(ω) and 
is defined as:
![D_{LS}=\sqrt{\frac{1}{2\pi} \int_{-\omega}^\omega \left[ 10\log_{10} \frac{P(\omega)}{\hat{P}(\omega)} \right]^2 d\omega }](../../../../math/c/c/7/cc704da2f1ab23e91812a80958380b64.png)
Unlike the Itakura-Saito Distance, the log-spectral distance is symmetric.
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