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. 2025 Dec 12;16:2489. doi: 10.1038/s41598-025-32227-z

Table 4.

Numerical stability evaluation of Hilbert transformation.

Hilbert Order (n) Condition Number Inline graphic Error Inline graphic Stability Indicator (Inline graphic)
3 Inline graphic Inline graphic Stable
5 Inline graphic Inline graphic Stable
8 Inline graphic Inline graphic Stable
10 Inline graphic Inline graphic Marginally Stable