Parameter estimation of 2-D random amplitude polynomial-phase signals

Amplitude Polynomial Phase Signals Joseph M. Francos and Benjamin Friedlander Abstract Phase information has fundamental importance in many two-dimensional signal processing problems. In this paper we consider two-dimensional signals with random amplitude and a continuous deterministic phase. The signal is represented by a random amplitude polynomial-phase model. A computationally e cient estimation algorithm for the signal parameters is presented. The algorithm is based on the properties of the mean phase di erencing operator which is introduced and analyzed. Assuming that the signal is observed in additive white Gaussian noise, and that the amplitude eld is Gaussian as well, we derive the Cramer-Rao lower bound on the error variance in jointly estimating the model parameters. The performance of the algorithm in the presence of additive white Gaussian noise is illustrated by numerical examples, and compared with the Cramer-Rao bound.