A polynomial phase parameter estimation-phase unwrapping algorithm

This paper describes a new approach for estimating the polynomial phase coefficients of an unknown signal with constant amplitude. Our approach uses linear regression on the unwrapped signal phase, a technique introduced by Tretter (1981) and further developed by Djuric and Kay (see IEEE Trans. on Signal Processing, vol.38, no.12, p.2118-2126, 1990). The proposed technique expands upon the previous work by developing a recursion for conducting the phase unwrapping concurrently with the coefficient estimation. The unwrapping performance is improved because of the use of current coefficient estimates. A secondary result provided by the new algorithm is an instantaneous phase estimate. Simulations show improvements in mean-squared error threshold level of the coefficient estimates over the method of Djuric and Kay