Grainger, JP;
Rajala, TA;
Murrell, DJ;
Olhede, SC;
(2023)
Visualizing the Wavenumber Content of a Point Pattern.
IEEE Signal Processing Letters
, 30
pp. 1177-1181.
10.1109/LSP.2023.3309156.
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Abstract
Spatial point patterns are a commonly recorded form of data in ecology, medicine, astronomy, criminology, epidemiology and many other application fields. One way to understand their second order dependence structure is via their spectral density function. However, unlike time series analysis, for point patterns such approaches are currently underutilized. In part, this is because the interpretation of the spectral representation of the underlying point processes is challenging. In this paper, we demonstrate how to band-pass filter point patterns, thus enabling us to explore the spectral representation of point patterns in space by isolating the signal corresponding to certain sets of wavenumbers.
| Type: | Article |
|---|---|
| Title: | Visualizing the Wavenumber Content of a Point Pattern |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1109/LSP.2023.3309156 |
| Publisher version: | https://doi.org/10.1109/LSP.2023.3309156 |
| Language: | English |
| Additional information: | CCBY - IEEE is not the copyright holder of this material. Please follow the instructions via https://creativecommons.org/licenses/by/4.0/ to obtain full-text articles and stipulations in the API documentation. |
| Keywords: | Band-pass filters, Low-pass filters, Information filters, Density functional theory, Time series analysis, Behavioral sciences, Nonlinear filters |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Life Sciences UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Life Sciences > Div of Biosciences UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Life Sciences > Div of Biosciences > Genetics, Evolution and Environment |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10177029 |
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