Digital Signal Processing Reference
In-Depth Information
Figure 19-2.
The geometric relationship among optimal regression weights
and the
Taylor series coefficients
and
In the log-power-spectrum domain,
continues to hold.
and correspond to the Signal-to-Noise and Noise-to-Signal ratios,
respectively, at the microphone position, and the relationship
holds for every microphone position. Therefore, once is given, both
and are uniquely determined. Multiple regression on the log-power-
spectrum domain can be regarded as an implicit estimation of the local
SNR at each microphone position.
On the other hand, when multiple-regression is performed on the power-
spectrum domain, since
holds,
and
are given by
However unlike in the log-power-spectrum domain,
and
are in-
dependent, they can not uniquely related to the optimized
