D09-F06-A04 · LEVEL 2 GUIDED LAB · SYNTHETIC DATA

Hilbert Transform SineWave

How do phase and a fixed lead become two bounded cycle coordinates? 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

sine_t=sin(phase_t); lead_sine_t=sin(phase_t+pi/4)

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 (D09-F06-A04)
{
  "sine": 0.19131916990169168,
  "lead_sine": -0.5587619360262619
}

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