Multiplicative multi-lag high order ambiguity function

The paper examines the performance analysis of a method for estimating the parameters of multicomponent polynomial-phase signals (PPS) embedded in white Gaussian noise. It initially describes the ambiguity problem arising with similar transforms when dealing with multicomponent PPS having the same highest order phase coefficients. This situation arises in a number of practical applications and is then worth of a careful analysis. A solution of the ambiguity problem is proposed based on a transformation called multiplicative multi-lag high order ambiguity function (MML-HAF). The theoretical performance of the method are evaluated and verified by simulation results.