A new algorithm for estimating the parameters of a polynomial phase signal

This paper presents a new algorithm for estimating the parameters of a polynomial phase signal (PPS). The proposed algorithm is based on the modified version of the Wigner-Ville distribution (WVD). For a quadratic or cubic frequency modulated (FM) signal, it requires two-dimensional (2-D) maximizations. The optimal maximum likelihood algorithm, by contrast, requires a three-dimensional (3-D) or four- dimensional (4-D) maximization. The Monte-Carlo simulations are provided to illustrate the precision of the new method, its application in the instantaneous frequency (IF) estimation and time-frequency distribution are also discussed.