Chirplet Frequency-Rate Estimation

The chirp rate may be estimated from the relation as follows:

- Let
denote the measured (or known) curvature at the
midpoint of the analysis window
.
- Let
and
denote
*weighted averages*of the measured curvatures and along the log-magnitude and phase of a spectral peak, respectively. - Then the chirp-rate
estimate may be estimated from the
spectral peak by

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Center for Computer Research in Music and Acoustics (CCRMA), Stanford University