Discrete time techniques for time delay estimation. Jacovitti, G. & Scarano, G. IEEE Trans. Signal Process., 41(2):525--533, February, 1993.
Discrete time techniques for time delay estimation [link]Paper  doi  abstract   bibtex   
Basic aspects of time delay estimation (TDE) based on sampled signals are investigated. The direct cross-correlation method is analyzed and compared to the average square difference function (ASDF) and the (addition only based) average magnitude difference function (AMDF) estimators, Their relative accuracy is theoretically evaluated, and previous empirical results are explained. It is shown that both the ASDF- and the AMDF-based estimators outperform the direct cross-correlation based estimator for medium-high signal-to-noise ratios. Moreover, the AMDF-based estimator, which avoids any multiplications, significantly reduces the computational complexity of the estimation procedure while offering only a moderate performance loss with respect to the ASDF based estimator
@article{ jacovitti_discrete_1993,
  title = {Discrete time techniques for time delay estimation},
  volume = {41},
  url = {http://ieeexplore.ieee.org/lpdocs/epic03/wrapper.htm?arnumber=193195},
  doi = {10.1109/78.193195},
  abstract = {Basic aspects of time delay estimation ({TDE}) based on sampled signals are investigated. The direct cross-correlation method is analyzed and compared to the average square difference function ({ASDF}) and the (addition only based) average magnitude difference function ({AMDF}) estimators, Their relative accuracy is theoretically evaluated, and previous empirical results are explained. It is shown that both the {ASDF}- and the {AMDF}-based estimators outperform the direct cross-correlation based estimator for medium-high signal-to-noise ratios. Moreover, the {AMDF}-based estimator, which avoids any multiplications, significantly reduces the computational complexity of the estimation procedure while offering only a moderate performance loss with respect to the {ASDF} based estimator},
  number = {2},
  journal = {{IEEE} Trans. Signal Process.},
  author = {Jacovitti, G. and Scarano, G.},
  month = {February},
  year = {1993},
  keywords = {Computational complexity, Delay effects, Delay estimation, Direction of arrival estimation, Gaussian noise, Interpolation, Performance loss, Signal processing, Signal to noise ratio, Variable speed drives, array signal processing},
  pages = {525--533}
}

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