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Polynomial phase estimation by phase unwrapping

2012/11/02 by Robby G. McKilliam, Barry G. Quinn, McKilliam, Robby G. +7
Computer Science · Engineering · #Advanced SAR Imaging Techniques #Applications (stat.AP) #Direction-of-Arrival Estimation Techniques #FOS: Computer and information sciences #Synthetic Aperture Radar (SAR) Applications and Techniques

paper · pdf · doi:10.48550/arxiv.1211.0374

openalex publication_date 2012/11/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Estimating the coefficients of a noisy polynomial phase signal is important in fields including radar, biology and radio communications. One approach attempts to perform polynomial regression on the phase of the signal. This is complicated by the fact that the phase is wrapped modulo 2πand must be unwrapped before regression can be performed. In this paper we consider an estimator that performs phase unwrapping in a least squares manner. We describe the asymptotic properties of this estimator, showing that it is strongly consistent and asymptotically normally distributed.

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