D07-F01-A24 · LEVEL 2 GUIDED LAB · SYNTHETIC DATA

Ehlers Instantaneous Trendline

How can a cycle estimate control a causal trendline window? Walk the evidence clock one stage at a time. This lab teaches the publication contract; it does not simulate returns, platform parity, or trade performance.

Selected expression

package convention: detrend and quadrature-filter price, estimate dominant period, then smooth over the adaptive period

Availability rule

An output at t may use only finite, basis-consistent observations available through t; chart alignment never moves the information clock backward.

calculated · step 1 of 7

Verified synthetic fixture

This lab is paired with datasets/implementation-fixtures.json: 96 deterministic, oldest-to-newest observations spanning oscillating, rising, and moderating regimes. It is teaching data—not market history or predictive evidence.

Canonical latest output (D07-F01-A24)
{
  "trendline": 103.6493158929627,
  "detrended": -3.6585014229627006
}

Executable checks cover this result, flat/zero-volume boundaries, invalid timestamps, and prefix causality in both language entry points.