Estimation of chirp rates of music-adapted prolate spheroidal atoms using reassignment

Bruno Mesz; Eduardo Serrano

doi:10.1117/12.734368

20 September 2007 Estimation of chirp rates of music-adapted prolate spheroidal atoms using reassignment

Bruno Mesz, Eduardo Serrano

Proceedings Volume 6701, Wavelets XII; 67012B (2007) https://doi.org/10.1117/12.734368
Event: Optical Engineering + Applications, 2007, San Diego, California, United States

Abstract

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.

Citation Download Citation

Bruno Mesz and Eduardo Serrano "Estimation of chirp rates of music-adapted prolate spheroidal atoms using reassignment", Proc. SPIE 6701, Wavelets XII, 67012B (20 September 2007); https://doi.org/10.1117/12.734368

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KEYWORDS

Chemical species

Fermium

Frequency modulation

Fourier transforms

Signal processing

Modulation

Associative arrays

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