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

Authors:
Slobodan Djukanović;Igor Djurović
Affiliations:
University of Montenegro/Electrical Engineering Department, Cetinjska 2, 20 000, Podgorica, Montenegro;University of Montenegro/Electrical Engineering Department, Cetinjska 2, 20 000, Podgorica, Montenegro
Venue:
Signal Processing
Year:
2012

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Abstract

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.