Finite-Difference Algorithm for Polynomial Phase Signal Parameter Estimation

Nathan Madsen, Siyang Cao

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


A new algorithm, the finite-difference algorithm, is proposed for single-component polynomial phase signal parameter estimation. The proposed algorithm takes advantage of the framework of the quasi-maximum-likelihood (QML) estimator but estimates the finite difference of the polynomial instead of the derivative. The algorithm is computationally simpler and has comparable performance to the QML algorithm. A phase centering step is proposed to increase the detectable range of polynomial phase parameters as an alternative to phase unwrapping.

Original languageEnglish (US)
Article number8691509
Pages (from-to)57-66
Number of pages10
JournalIEEE Transactions on Aerospace and Electronic Systems
Issue number1
StatePublished - Feb 2020


  • Finite difference
  • parameter estimation
  • phase estimation
  • phase unwrapping
  • polynomial phase signals (PPSs)

ASJC Scopus subject areas

  • Aerospace Engineering
  • Electrical and Electronic Engineering


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