Aliasing detection and resolving in the estimation of polynomial-phase signal parameters

A novel method for aliasing detection and resolving in the estimation of polynomial-phase signal (PPS) parameters is presented. Aliasing is detected using two high-order ambiguity functions (HAFs) of a uniformly sampled PPS embedded in noise. If aliasing occurred, we propose a way of recovering the true parameters from their aliased positions. To that end, a closed-form expression for the true parameter value is derived. As opposed to the concurrent methods, the proposed method provides much more robust results with higher order PPSs and does not require nonuniform sampling. In addition, it can be readily extended to the multicomponent PPS case. Simulations support the theoretical results.

► We consider the problem of aliasing in the estimation of PPS parameters.
► Aliasing is detected and resolved from maxima positions of two high-order ambiguity functions.
► A closed-form expression for the true parameter value is derived.
► The method is robust with high order PPSs and does not require nonuniform sampling.
► The method can be readily extended to multicomponent PPSs.