Cited by 87Mathematical Analysis and Transform MethodsAdvanced Signal Processing TechniquesAdvanced Adaptive Filtering Techniques

On the determination of the position of extrema of sampled correlators

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Moddemeijer, R.·1991·IEEE Transactions on Signal Processing

Abstract

The problem of determination of the position of the extremum of a continuous correlator function from its samples, if the spectrum of the correlator is not bandlimited, is discussed. Searching for the position of the extremum by fitting a parabola through three samples around that extremum leads to clustering of the estimates around values corresponding with the sampling moments.>

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Crossref · 10.1109/78.80788

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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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References 7 · Cited by 87

Authors
Moddemeijer, R.
Affiliations
University of Groningen (NL)
Corresponding author
Moddemeijer, R.
Venue
IEEE Transactions on Signal Processing
Published
1991
Volume
39
Issue
1
Pages
216-219
ISSN
1053-587X (ISSN-L)
OpenAlex
W2043218014
Cited by
87
References
7
Citations by year
2026: 1 · 2025: 3 · 2024: 3 · 2023: 3 · 2022: 2 · 2021: 2 · 2020: 1 · 2019: 4 · 2018: 3 · 2017: 2 · 2015: 1 · 2014: 5 · 2013: 6 · 2012: 2
FWCI
2.27
Type
journal article
Language
en
Open access
Locations
  • IEEE Transactions on Signal Processing (publishedVersion)
  • University of Twente Research Information (submittedVersion, other-oa)
Topics
  • Physical Sciences › Mathematics › Applied Mathematics › Mathematical Analysis and Transform Methods
  • Physical Sciences › Engineering › Electrical and Electronic Engineering › Advanced Signal Processing Techniques
  • Physical Sciences › Engineering › Computational Mechanics › Advanced Adaptive Filtering Techniques
Keywords
parabolic fitting

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