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Hilbert Transform

By LuxAlgoFeb 15, 2026

Hilbert Transform is an indicator on Vela, our next-generation charting platform, written in Pine Script®.

Static chart image

Hilbert Transform packages the Hilbert transform cycle engine as an honestly guarded pane tool. The source is smoothed, detrended and run through Ehlers' published quadrature filters; a homodyne discriminator turns per-bar phase advance into a dominant cycle period, clamped to the measurable 6-50 bar band. From the measured phase come two pane views: the sinewave with a lead line running 45 degrees ahead, or the period estimate itself. Two guards keep the output honest: a signal-to-noise gate that dims everything when cycle amplitude is too small to trust, and a trend-mode background flagging when phase stops advancing at the cycle rate.

How to Trade the Hilbert Transform?

  • Lead crosses above the sinewave: an anticipated cycle trough, covered by the Cycle Turn Up alert.
  • Lead crosses under the sinewave: the anticipated crest, mirrored by Cycle Turn Down.
  • Trend-mode background on: phase has stalled against the expected rate. Ignore sinewave crossings and switch to trend tactics.
  • Dimmed pane: SNR sits below the threshold; phase readings are noise, so cycle tactics go on hold.

The Dominant Cycle Period view is the lookback an adaptive tool would inherit.

Hilbert Transform Settings

  • Source (default hl2): the bar midpoint the published designs assume.
  • Min Period (default 6) and Max Period (default 50): clamps of the measured period.
  • Dim Output Below SNR Threshold (default enabled) with SNR Threshold (dB) (default 6.0): the amplitude gate; SNR alerts fire whether or not dimming is on.
  • Pane Output (default Sinewave): sinewave plus lead line, or the dominant cycle period.
  • Display & style toggles: turn markers off, trend-mode highlight on, dashboard on, gradient fill on.

Frequently Asked Questions

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Original indicatorBuilt in-house by LuxAlgo

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