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Improved Frequency Estimation by Interpolated DFT Method

Authors
Publisher
Elsevier Ltd
Volume
29
Identifiers
DOI: 10.1016/j.proeng.2012.01.629
Keywords
  • Frequency Estimation
  • Dft
  • Interpolated Algorithm
Disciplines
  • Computer Science

Abstract

Abstract An improved method for estimating the frequency of a single complex sinusoid in complex additive white Gaussian noise is proposed. The method uses a modified version of the iterative interpolation strategies of Aboutanios and Mulgrew which are asymptotically unbiased and normally distributed with a variance that is very close to the Cramér–Rao bound (CRB). The A&M algorithms require the calculation of four additional discrete Fourier transform (DFT) coefficients with two iterations, whereas the new algorithm only needs two additional coefficients by exploiting the standard DFT coefficients at the first iteration. It is shown by simulation results that the new algorithm maintains the same performance as the A&M estimators.

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