On polynomial phase signals with time-varying amplitudes

We address the parameter estimation problem for a class of nonstationary signals modeled as polynomial phase signals with time-varying amplitudes, Exponentially damped polynomial phase signals are treated as a special case and are analyzed in detail, High-order instantaneous moments provide the basic analytical tool, but links are shown to exist with either the usually employed FFT-based technique or the high-resolution Kumaresan-Tufts, MUSIC, and matrix pencil methods, Asymptotic properties of the relevant estimators are established, Cramer-Rao lower bounds on the amplitude and phase parameter estimates are derived, and computer simulations are carried out to evaluate the performance of various schemes.