Cited by 433Advanced Adaptive Filtering TechniquesAdvanced Signal Processing TechniquesSpeech and Audio Processing

Discrete time techniques for time delay estimation

Jacovitti, G., Scarano, G.·1993·IEEE Transactions on Signal Processing

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.>

Integrity signals

Registry

Crossref · 10.1109/78.193195

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11 of 11 references verified0 citation errors · 0 not checkable

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  • The estimated cross-correlation function can be approximated by a concave parabola in the neighborhood of its maximum because its mathematical expectation is band limited and presents a symmetric peak around the true time delay.

    “Since its mathematical expectation is shown to be band limited and present a symmetric peak around the true time delay, the estimated crosscorrelation function can be approximated by a concave parabola in the neighborhood of its maximum [40, 63, 64].”

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Authors
Jacovitti, G., & Scarano, G.
Affiliations
Sapienza University of Rome (IT)
Venue
IEEE Transactions on Signal Processing
Published
1993
Volume
41
Issue
2
Pages
525-533
ISSN
1053-587X (ISSN-L)
OpenAlex
W2148886336
Cited by
433
References
11
Citations by year
2026: 6 · 2025: 15 · 2024: 5 · 2023: 17 · 2022: 8 · 2021: 15 · 2020: 17 · 2019: 21 · 2018: 22 · 2017: 20 · 2016: 21 · 2015: 29 · 2014: 30 · 2013: 23 · 2012: 14
FWCI
5.20
Type
journal article
Language
en
Open access
closed
Locations
  • IEEE Transactions on Signal Processing (publishedVersion)
  • IRIS Research product catalog (Sapienza University of Rome) (submittedVersion)
Topics
  • Physical Sciences › Engineering › Computational Mechanics › Advanced Adaptive Filtering Techniques
  • Physical Sciences › Engineering › Electrical and Electronic Engineering › Advanced Signal Processing Techniques
  • Physical Sciences › Computer Science › Signal Processing › Speech and Audio Processing
Keywords
time delay estimation, discrete-time signal processing, sampled signals, cross correlation function, average magnitude difference function, estimator accuracy, computational complexity, signal-to-noise ratio

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