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In addition to temporal aliasing, high-wavenumber motions are aliased into the low-wavenumber band arising from spatial subsampling. The spectral density ratio of the subsampled SSH on a 1-d and 10-km basis to the original hourly SSH in the SCS and Kuroshio Extension, respectively.
In striking contrast to temporal aliasing, such wavenumber-domain aliasing is nearly negligible. The Nyquist-Shannon sampling theorem applied in the spatial domain determines the critical frequency.
According to the Nyquist-Shannon sampling theorem, when a continuous field is sampled at discrete points, any signal with a wavenumber higher than the Nyquist wavenumbercannot be correctly resolved, appearing in the low-wavenumber band in a "folded" form.
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