A novel parameter estimation for polynomial phase signals using the spectrum phase

A novel approach for the parameter estimation of polynomial phase signals (PPSs) is proposed. Unlike the existing methods, the proposed method uses the spectrum phase (SP) rather than the traditional instantaneous phase (IP) for parameter estimation. First,we present an unwrapping procedure for the SP. Second, we derive a method that can convert the unwrapped SP into the IP and then perform polynomial regression on the IP to obtain the estimates of the parameters. Finally, we use the O'Shea refinement strategy to refine the estimates to achieve the Cramér-Rao lower bound. The simulation results show that the proposed technique has a lower signal-to-noise ratio threshold and is less complex than the existing methods for high-order PPSs.