Frequency estimation from proper sets of correlations

  • Authors:
  • B. Volker;P. Handel

  • Affiliations:
  • Dept. of Signals, Sensors, & Syst., R. Inst. of Technol., Stockholm;-

  • Venue:
  • IEEE Transactions on Signal Processing
  • Year:
  • 2002

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Abstract

As a complement to the periodogram, low-complexity frequency estimators are of interest. One such estimator is based on Prony's method and rely on phase information of the auto correlations. Without prior knowledge of the frequency (e.g., a given frequency interval), the frequency cannot be unambiguously estimated from a single correlation only. We introduce a new method of phase unwrapping using an arbitrary number (more than one) of correlations. From this arbitrary set of correlations, we propose a weighted average estimator. We derive the asymptotic performance and show how the correlation lags should be properly chosen. From a design aspect, there is often a restriction of using a fixed number of computations. In addition, we therefore propose a strategy to find a proper set of correlation lags subject to a given computational complexity. Finally, simulation results that lend support to the theoretical findings are included