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The LP filter so far presented attempts to fit an all-pole model using
the least-mean-squares distance metric.
The lower formants contain more energy and therefore are preferentially
modeled with respect to the higher formants
A pre-emphasis filter,
is often used to boost the higher frequencies. Typically , or the optimal pre-emphasis is used.
If reconstructing the speech the inverse filter should be used:
Speech Vision Robotics group/Tony Robinson