Chirplet Synthesis

Independently of Goodwin and Kogon, Marques and Almeida introduced
*chirplet modeling* of speech in 1989 [164].
This technique is based on the interesting mathematical fact that the
Fourier transform of a Gaussian-windowed chirp remains a Gaussian
pulse in the frequency domain (§10.6). Instead of
measuring only amplitude and phase at each a spectral peak, the
parameters of a complex Gaussian are fit to each peak. The (complex)
parameters of each Gaussian peak in the spectral model determine a
Gaussian amplitude-envelope *and* a linear chirp rate in the time
domain. Thus, both cross-fading and frequency sweeping are handled
automatically by the spectral model. A specific method for carrying
this out is described in §10.6.
More recent references on chirplet modeling include
[197,90,91,89].

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