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Analysis of discrete implementation of generalized cross correlator
Open accessAbstract
A common discrete implementation of the cross correlator uses a parabolic fit to the peak when the delay is not an integral multiple of the sampling period. This correspondence analyzes and assesses the pitfalls of this approach. It is shown that this yields a biased estimate of the time delay, with both the bias and variance of the estimate dependent on the location of the delay between samples, SNR, signal and noise bandwidths, and the prefilter or window used in the generalized correlator.
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“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].”
From Time Delay Estimation in Room Acoustic Environments: An Overview (2006) · cites this paper as [63]
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Metadata
- Authors
- Boucher, R., & Hassab, J.
- ORCID
- Boucher, R.
- Venue
- IEEE Transactions on Acoustics, Speech, and Signal Processing
- Published
- 1981-06
- Volume
- 29
- Issue
- 3
- Pages
- 609-611
- ISSN
- 0096-3518 (ISSN-L)
- OpenAlex
- W2169054076
- Cited by
- 111
- References
- 3
- Citations by year
- 2024: 4 · 2023: 1 · 2022: 1 · 2021: 4 · 2020: 4 · 2019: 3 · 2018: 3 · 2017: 4 · 2016: 3 · 2015: 2 · 2014: 6 · 2013: 9 · 2012: 1
- FWCI
- 4.99
- Type
- journal article
- Language
- en
- Open access
- green
- zenodo.org
- Licence
- Locations
- IEEE Transactions on Acoustics Speech and Signal Processing (publishedVersion)
- Zenodo (CERN European Organization for Nuclear Research) (submittedVersion, public-domain)
- Topics
- Physical Sciences › Computer Science › Signal Processing › Speech and Audio Processing
- Physical Sciences › Computer Science › Signal Processing › Digital Filter Design and Implementation
- Physical Sciences › Computer Science › Signal Processing › Advanced Adaptive Filtering Techniques
- Keywords
- time delay estimation, signal-to-noise ratio, pre-filtering, windowing
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