The effect of jittered time-samples on the discrete bispectrum

Ilan Sharfer; Hagit Messer

doi:10.1109/icassp.1991.150199

The effect of jittered time-samples on the discrete bispectrum

Ilan Sharfer, Hagit Messer

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Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

The effect of timing-error (jitter) on the bispectrum (third-order spectrum) is discussed. Expressions for the bispectrum of jittered sampled data are derived under different models of the jitter process. Under the assumption that the timing errors are independent and identically distributed random variables, these expressions are studied for typical jitter distributions. It is shown that while the unjittered discrete bispectrum is zero in a triangle that is a proper subset of the principal domain triangle, the jittered bispectrum is not. A closed-form expression for the additive bispectrum due to small jitter of any symmetric distribution is presented, and its validity is demonstrated.

Original language	English
Title of host publication	Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing
Publisher	Publ by IEEE
Pages	3461-3464
Number of pages	4
ISBN (Print)	0780300033
DOIs	https://doi.org/10.1109/icassp.1991.150199
State	Published - 1991
Event	Proceedings of the 1991 International Conference on Acoustics, Speech, and Signal Processing - ICASSP 91 - Toronto, Ont, Can Duration: 14 May 1991 → 17 May 1991

Publication series

Name	Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing
Volume	5
ISSN (Print)	0736-7791

Conference

Conference	Proceedings of the 1991 International Conference on Acoustics, Speech, and Signal Processing - ICASSP 91
City	Toronto, Ont, Can
Period	14/05/91 → 17/05/91

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10.1109/icassp.1991.150199

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Sharfer, I., & Messer, H. (1991). The effect of jittered time-samples on the discrete bispectrum. In Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing (pp. 3461-3464). (Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing; Vol. 5). Publ by IEEE. https://doi.org/10.1109/icassp.1991.150199

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abstract = "The effect of timing-error (jitter) on the bispectrum (third-order spectrum) is discussed. Expressions for the bispectrum of jittered sampled data are derived under different models of the jitter process. Under the assumption that the timing errors are independent and identically distributed random variables, these expressions are studied for typical jitter distributions. It is shown that while the unjittered discrete bispectrum is zero in a triangle that is a proper subset of the principal domain triangle, the jittered bispectrum is not. A closed-form expression for the additive bispectrum due to small jitter of any symmetric distribution is presented, and its validity is demonstrated.",

author = "Ilan Sharfer and Hagit Messer",

note = "Copyright: Copyright 2020 Elsevier B.V., All rights reserved.; Proceedings of the 1991 International Conference on Acoustics, Speech, and Signal Processing - ICASSP 91 ; Conference date: 14-05-1991 Through 17-05-1991",

year = "1991",

doi = "10.1109/icassp.1991.150199",

language = "אנגלית",

isbn = "0780300033",

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Sharfer, I & Messer, H 1991, The effect of jittered time-samples on the discrete bispectrum. in Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing. Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing, vol. 5, Publ by IEEE, pp. 3461-3464, Proceedings of the 1991 International Conference on Acoustics, Speech, and Signal Processing - ICASSP 91, Toronto, Ont, Can, 14/05/91. https://doi.org/10.1109/icassp.1991.150199

The effect of jittered time-samples on the discrete bispectrum. / Sharfer, Ilan; Messer, Hagit.
Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing. Publ by IEEE, 1991. p. 3461-3464 (Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing; Vol. 5).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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The effect of jittered time-samples on the discrete bispectrum

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