Instantaneous frequency estimation using stochastic calculus and bootstrapping
EURASIP Journal on Applied Signal Processing
Time-frequency analysis using warped-based high-order phase modeling
EURASIP Journal on Applied Signal Processing
Parameter estimation of phase-modulated signals using Bayesian unwrapping
IEEE Transactions on Signal Processing
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An exact decomposition of the derivatives of any order of a polynomial φ(t) is proposed in terms of φ(t-t0), ..., φ(t-tn). This result allows us to introduce generalized time-frequency distributions for studying signals having a polynomial phase and a constant amplitude in order to determine the degree and the coefficients of the corresponding phase. The relationships between these distributions and the already known polynomial distributions, i.e., the polynomial phase transform and the polynomial Wigner-Ville distribution, are discussed. Illustrations by example are proposed