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02 — Antenna placement (R6.2 family, 7 sub-ticks)
The 9-tick R6.2 family productised R6's forward model into a working CLI-shaped placement search. Each script answers one axis of the placement question.
Scripts (in development order)
| Script | Thread | Axis | Headline |
|---|---|---|---|
r6_2_antenna_placement.py |
R6.2 | 2D single-pair | Optimal placement is 93× better than median random; corner-to-corner diagonal |
r6_2_1_3d_placement.py |
R6.2.1 | 3D single-pair | Ceiling-only mounting fails (0% coverage) — Fresnel envelope sits at ceiling, never reaches floor targets |
r6_2_2_multistatic_placement.py |
R6.2.2 | 2D N-anchor | Knee at N=5 anchors for typical bedroom (96.8% body-zone coverage) |
r6_2_2_1_3d_multistatic.py |
R6.2.2.1 | 3D N-anchor | 2D knee disappears in 3D — only 49% at N=5 with body zones |
r6_2_3_chest_centric.py |
R6.2.3 | 2D chest-centric | +27 pp coverage gain when targeting chest specifically (vital-signs cog) |
r6_2_4_3d_chest_multistatic.py |
R6.2.4 | 3D chest-centric | Recovers 3D shortfall — 77% at N=5, 82% at N=6 chest-centric |
r6_2_5_multi_subject.py |
R6.2.5 | Multi-subject union | 100% coverage for 1-4 occupants at N=5 chest-centric |
Decision matrix (final ADR-113 output)
| Cog category | Dimension | Zone mode | Occupants | N | Heights | Coverage |
|---|---|---|---|---|---|---|
| Vital signs | 2D | chest | 1-4 | 5 | walls 0.8/1.5 m | 100% |
| Vital signs | 3D | chest | 1-4 | 6 | walls 0.8/1.5 (NO ceiling) | 82% |
| Pose estimation | 2D | body | 1-2 | 5 | walls mixed | 97% |
| Pose estimation | 3D | body | 1-2 | 7-8 | mixed L/M/H | 65%+ |
| Person count | 2D | body | 1-4 | 4 | walls mixed | 86% |
Counter-intuitive findings
- Longer links cover more space. Fresnel envelope width = √(d·λ)/2 grows with d.
- Ceiling-only fails entirely (R6.2.1) — both anchors at 2.5 m put envelope at ceiling height, target zones below are missed.
- 2D N=5 knee doesn't hold in 3D (R6.2.2.1) — 3D ellipsoids are thin slabs, not 2D rectangles.
- Anchor heights should match target zone heights (R6.2.4) — chest-centric uses low+mid, NOT ceiling.
- Chest-centric beats body-centric for vital signs by +27 pp (R6.2.3).
See also
- Architectural decision:
docs/adr/ADR-113-multistatic-placement-strategy.md - Research notes:
docs/research/sota-2026-05-22/R6_2*.md - Composes with:
01-physics-floor/(forward model),06-structure-detection/(PABS uses placement coverage)