KEYWORDS: Chemical species, Fermium, Frequency modulation, Fourier transforms, Signal processing, Modulation, Wavelets, Associative arrays, Astatine, Signal detection
We introduce a modified Matching Pursuit algorithm for estimating frequency and frequency slope of FM-modulated
music signals. The use of Matching Pursuit with constant frequency atoms provides coarse estimates which could be
improved with chirped atoms, more suited in principle to this kind of signals. Application of the reassignment method is suggested by its good localization properties for chirps.
We start considering a family of atoms generated by modulation and scaling of a prolate spheroidal wave
function. These functions are concentrated in frequency on intervals of a semitone centered at the frequencies of the
well-tempered scale.
At each stage of the pursuit, we search the atom most correlated with the signal. We then consider the spectral peaks at
each frame of the spectrogram and calculate a modified frequency and frequency slope using the derivatives of the
reassignment operators; this is then used to estimate the parameters of a cubic interpolation polynomial that models local
pitch fluctuations.
We apply the method both to synthetic and music signals.
Access to the requested content is limited to institutions that have purchased or subscribe to SPIE eBooks.
You are receiving this notice because your organization may not have SPIE eBooks access.*
*Shibboleth/Open Athens users─please
sign in
to access your institution's subscriptions.
To obtain this item, you may purchase the complete book in print or electronic format on
SPIE.org.
INSTITUTIONAL Select your institution to access the SPIE Digital Library.
PERSONAL Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.