Performance analysis for a class of amplitude modulated polynomial phase signals

Considers the parameter estimation problem for a class of amplitude modulated polynomial phase signals (PPS), observed in noise. The main contributions of the paper are: (1) The authors prove that the high-order ambiguity function (HAF) is invariant to certain types of amplitude modulation; thus, phase parameter estimation proceeds as in the constant amplitude case. (2) The authors derive the Cramer-Rao bounds for both the amplitude and phase parameters, when the additive noise is white Gaussian. (3) They show that the HAF is almost additive for multi-component PPS. (4) They establish the covariance bounds for the nonlinear least squares estimator when the additive noise is (non) Gaussian, and satisfies some weak mixing conditions