The paper introduces HPOD as a complex extension of POD using the Hilbert transform to extract amplitude- and frequency-modulated advective wavepackets from flow data, proving a space-only variant mathematically equivalent to the time-based version.
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2025 1verdicts
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Hilbert Proper Orthogonal Decomposition: a tool for educing advective wavepackets from flow field data
The paper introduces HPOD as a complex extension of POD using the Hilbert transform to extract amplitude- and frequency-modulated advective wavepackets from flow data, proving a space-only variant mathematically equivalent to the time-based version.