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Extends R6.2 from 2D ellipse to 3D ellipsoid + 3D target zones (bed at z=0.3-0.6, chair at z=0.5-1.2, standing at z=1.0-1.7 in a 5x5x2.5 m room). Counter-intuitive headline: | Strategy | Coverage | |-------------------------------------------|---------:| | Desk-height (0.8 m walls) | 22.2% | | Wall-mount (1.5 m walls) | 17.4% | | Ceiling-only (2.5 m grid) | 0.0% | <-- FAILS | Mixed walls + ceiling | 25.7% | <-- BEST Ceiling-only fails because both antennas at 2.5 m create a Fresnel ellipsoid sitting AT ceiling height (2.1-2.9 m vertically). Target zones at 0.3-1.7 m are below the envelope by 0.4-2.0 m. The 39 cm transverse radius is symmetric around LOS, so a flat horizontal link at any height misses targets at any OTHER height. This is the 3D version of R6.1's on-LOS-degeneracy finding. A horizontal link at any single height has its envelope concentrated at that height. Why mixed wins: best placement is Tx (5.0, 4.0, 0.8) + Rx (0.0, 4.0, 1.5). The diagonal-in-z link tilts the ellipsoid through multiple elevations. Covers chair AND standing AND bed simultaneously. Vertical link diversity is the 3D insight 2D analysis missed. Installation-guide updates: - Single pair: one low (0.8 m) + one high (1.5 m), opposite walls - 4-anchor: 2x low corners + 2x high opposite corners - 5-anchor knee: mix 0.8 / 1.5 / one ceiling - Bed-only: both LOW - Standing-only: both HIGH - NEVER: both ceiling without a low anchor Coverage numbers are lower than R6.2's 2D 51% because 3D volumetric coverage is inherently lower than 2D area coverage -- honest 3D physics. Composes: - R6.2 (2D) -- incomplete; height matters as much as horizontal - R6.2.2 (N-anchor) -- N=5 knee should distribute across heights - R6.1 (multi-scatterer) -- needs 3D body model for proper composition - R14 V1/V2/V3 -- each vertical needs height-recipe - ADR-029 -- placement is (x, y, z), not (x, y) - R12 PABS -- detects intruders standing/sitting/lying with mixed heights Honest scope: 3-zone discrete approximation, single-pair only, no furniture occlusion, 0.1 m resolution, greedy search. Coordination: ticks/tick-21.md, no PROGRESS.md edit.
79 lines
3.5 KiB
Markdown
79 lines
3.5 KiB
Markdown
# Tick 21 — 2026-05-22 08:10 UTC
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**Thread:** R6.2.1 (3D antenna placement extension)
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**Verdict:** Counter-intuitive finding — **ceiling-only mounting gives 0% coverage**. Mixed-height (one low, one high) gives the best result.
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## What shipped
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- `examples/research-sota/r6_2_1_3d_placement.py` — pure-numpy 3D Fresnel ellipsoid placement search.
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- `examples/research-sota/r6_2_1_3d_results.json` — strategy comparison.
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- `docs/research/sota-2026-05-22/R6_2_1-3d-placement.md` — research note.
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## Headline strategy comparison
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3D room (5×5×2.5 m), three 3D target zones (bed at z=0.3-0.6, chair at z=0.5-1.2, standing at z=1.0-1.7):
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| Strategy | Coverage |
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|---|---:|
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| Desk-height (0.8 m walls) | 22.2% |
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| Wall-mount (1.5 m walls) | 17.4% |
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| **Ceiling-only (2.5 m grid)** | **0.0%** |
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| **Mixed walls + ceiling** | **25.7%** ← best |
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## The physics
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Ceiling-only fails because both antennas at 2.5 m create a Fresnel ellipsoid sitting **at ceiling height** (2.1-2.9 m vertically). Target zones at 0.3-1.7 m are below the envelope by 0.4-2.0 m. The 39 cm transverse radius is symmetric around LOS, so a flat horizontal link at any height misses targets at any other height.
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**This is the 3D version of R6.1's on-LOS-degeneracy finding.** A horizontal link at any single height has its envelope concentrated at that height.
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## Why mixed wins
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Best placement: Tx at (5.0, 4.0, 0.8) desk-height + Rx at (0.0, 4.0, 1.5) wall-mount. The **diagonal-in-z** link tilts the ellipsoid through multiple elevations. Covers chair AND standing AND bed simultaneously.
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**Vertical link diversity is the 3D insight 2D analysis missed.**
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## Installation-guide updates
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| Use case | Recipe |
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|---|---|
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| Single Tx-Rx pair | One low (0.8 m), one high (1.5 m), opposite walls |
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| 4-anchor R6.2.2 | 2× low corners + 2× high opposite corners |
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| 5-anchor knee | Mix 0.8 / 1.5 / one ceiling (2.5) for top-down |
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| Bed-only sleep monitoring | Both LOW (0.5-0.8 m), opposite sides of bed |
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| Standing-only (gym, kitchen) | Both HIGH (1.5 m) |
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| **NEVER** | Both ceiling without low anchor |
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## Why coverage numbers are lower than R6.2's 51%
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3D target zones are *volumes*, not 2D *areas*. A point must be inside the ellipsoid in all 3 axes. Volumetric coverage is inherently lower; the 22-26% range is honest 3D physics.
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## Composes with prior threads
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- **R6.2** (2D) — incomplete; height matters as much as horizontal
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- **R6.2.2** (N-anchor) — N=5 knee should distribute across heights
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- **R6.1** multi-scatterer — needs 3D body model (head/chest/legs at different z) for proper composition
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- **R14** V1/V2/V3 — each vertical needs height-recipe specific to its sensing zone
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- **ADR-029** — anchor placement is (x, y, z), not (x, y)
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- **R12 PABS** — sensitivity to intruders inherits the coverage; mixed-height detects standing/sitting/lying intruders alike
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## Honest scope
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- 3-zone discrete approximation of continuous human occupancy
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- Single-pair only; multi-anchor 3D = R6.2.2.1 (next)
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- No furniture occlusion
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- 0.1 m resolution
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- Greedy single-pair search (brute-force feasible at this scale)
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## Coordination
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`ticks/tick-21.md`. No PROGRESS.md edit. Branch `research/sota-r6.2.1-3d-placement`.
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## Remaining work
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- **R6.2.2.1**: 3D N-anchor union coverage
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- **R6.2.3**: chest-centric zones (per R6.1 chest = 27.6% of signal)
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- **R12.1**: pose-PABS closed loop
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- **ADR-107**: cross-installation federation
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~3.8h to cron stop. **21 ticks landed.** Loop covered R1-R15 + 2 ADRs + 6 deferred follow-ups + 3 negative-result categorisations.
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