False detection of chaotic behaviour in the stochastic compound k-distribution model of radar sea clutter

C P Unsworth, M R Cowper, Steve McLaughlin, Bernard Mulgrew

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

There is current debate in the radar community whether sea clutter is stochastic or chaotic. In this paper, a stochastic k-distributed surrogate is generated for a typical sea clutter data set. The k-distributed set was then analysed using the methods recently applied to sea clutter by Haykin et al. The k-distributed set is shown to have DML and FNN values in the same range as reported by Haykin et al. and with positive and negative Lyapunov exponents. In addition, various white and correlated noise distributed sets are analysed in the same way and found to produce similar artefact. It is concluded that these chaotic invariants cannot be used to distinguish between chaotic and stochastic timeseries and are redundant in an application, such as radar sea clutter, where the time series is unknown and could be of a stochastic nature.

Original languageEnglish
Title of host publicationProceedings of the Tenth IEEE Workshop on Statistical Signal and Array Processing, 2000
PublisherIEEE
Pages296-300
Number of pages5
ISBN (Print)0-7803-5988-7
DOIs
Publication statusPublished - 2000
Event10th IEEE Workshop on Statistical Signal and Array Processing 2000 - Pocono Manor, PA, United States
Duration: 14 Aug 200016 Aug 2000

Conference

Conference10th IEEE Workshop on Statistical Signal and Array Processing 2000
CountryUnited States
CityPocono Manor, PA
Period14/08/0016/08/00

Cite this

Unsworth, C. P., Cowper, M. R., McLaughlin, S., & Mulgrew, B. (2000). False detection of chaotic behaviour in the stochastic compound k-distribution model of radar sea clutter. In Proceedings of the Tenth IEEE Workshop on Statistical Signal and Array Processing, 2000 (pp. 296-300). IEEE. https://doi.org/10.1109/SSAP.2000.870131
Unsworth, C P ; Cowper, M R ; McLaughlin, Steve ; Mulgrew, Bernard. / False detection of chaotic behaviour in the stochastic compound k-distribution model of radar sea clutter. Proceedings of the Tenth IEEE Workshop on Statistical Signal and Array Processing, 2000. IEEE, 2000. pp. 296-300
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title = "False detection of chaotic behaviour in the stochastic compound k-distribution model of radar sea clutter",
abstract = "There is current debate in the radar community whether sea clutter is stochastic or chaotic. In this paper, a stochastic k-distributed surrogate is generated for a typical sea clutter data set. The k-distributed set was then analysed using the methods recently applied to sea clutter by Haykin et al. The k-distributed set is shown to have DML and FNN values in the same range as reported by Haykin et al. and with positive and negative Lyapunov exponents. In addition, various white and correlated noise distributed sets are analysed in the same way and found to produce similar artefact. It is concluded that these chaotic invariants cannot be used to distinguish between chaotic and stochastic timeseries and are redundant in an application, such as radar sea clutter, where the time series is unknown and could be of a stochastic nature.",
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Unsworth, CP, Cowper, MR, McLaughlin, S & Mulgrew, B 2000, False detection of chaotic behaviour in the stochastic compound k-distribution model of radar sea clutter. in Proceedings of the Tenth IEEE Workshop on Statistical Signal and Array Processing, 2000. IEEE, pp. 296-300, 10th IEEE Workshop on Statistical Signal and Array Processing 2000, Pocono Manor, PA, United States, 14/08/00. https://doi.org/10.1109/SSAP.2000.870131

False detection of chaotic behaviour in the stochastic compound k-distribution model of radar sea clutter. / Unsworth, C P; Cowper, M R; McLaughlin, Steve; Mulgrew, Bernard.

Proceedings of the Tenth IEEE Workshop on Statistical Signal and Array Processing, 2000. IEEE, 2000. p. 296-300.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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N2 - There is current debate in the radar community whether sea clutter is stochastic or chaotic. In this paper, a stochastic k-distributed surrogate is generated for a typical sea clutter data set. The k-distributed set was then analysed using the methods recently applied to sea clutter by Haykin et al. The k-distributed set is shown to have DML and FNN values in the same range as reported by Haykin et al. and with positive and negative Lyapunov exponents. In addition, various white and correlated noise distributed sets are analysed in the same way and found to produce similar artefact. It is concluded that these chaotic invariants cannot be used to distinguish between chaotic and stochastic timeseries and are redundant in an application, such as radar sea clutter, where the time series is unknown and could be of a stochastic nature.

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Unsworth CP, Cowper MR, McLaughlin S, Mulgrew B. False detection of chaotic behaviour in the stochastic compound k-distribution model of radar sea clutter. In Proceedings of the Tenth IEEE Workshop on Statistical Signal and Array Processing, 2000. IEEE. 2000. p. 296-300 https://doi.org/10.1109/SSAP.2000.870131