Summary of LP Spectral Envelopes
In summary, the spectral envelope of the
th spectral frame,
computed by linear prediction, is given by
![]() |
(11.13) |
where



![]() |
(11.14) |
can be driven by unit-variance white noise to produce a filtered-white-noise signal having spectral envelope



It bears repeating that
is zero mean when
is monic and minimum phase (all zeros inside the unit circle).
This means, for example, that
can be simply estimated as
the mean of the log spectral magnitude
.
For best results, the frequency axis ``seen'' by linear prediction should be warped to an auditory frequency scale, as discussed in Appendix E [123]. This has the effect of increasing the accuracy of low-frequency peaks in the extracted spectral envelope, in accordance with the nonuniform frequency resolution of the inner ear.
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