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rUv 065521dc9e
research(R6.2.2): N-anchor multistatic placement saturation — practical knee at N=5 (#720) 
Extends R6.2 from single-pair to N-anchor placement search via union of
all C(N,2) pairwise Fresnel ellipses. Greedy + K=8 random restarts.

Saturation curve on 5x5 m bedroom (3 target zones: bed + chair + desk,
40 wall-candidates, 434 grid points, 2.4 GHz):

| N | Pairs | Coverage | Marginal |
|---|------:|---------:|---------:|
| 2 |     1 |   35.7%  |  +35.7 pp |
| 3 |     3 |   63.4%  |  +27.6 pp |
| 4 |     6 |   86.2%  |  +22.8 pp |
| 5 |    10 |   96.8%  |  +10.6 pp |  <- knee
| 6 |    15 |  100.0%  |   +3.2 pp |
| 7 |    21 |  100.0%  |   +0.0 pp |

Practical knee at N=5. Past this, diminishing returns.

Three regimes:
- Single-feature (presence):       2-3 anchors  (36-63%)
- Multi-feature (pose+vitals+count): 4-5 anchors  (86-97%)
- Mission-critical (medical):       6 anchors   (100%)
- Beyond 6:                         wasted

Cost-optimisation: Cognitum Seed BOM is 9-15 USD. The 4->5 anchor jump
buys +10.6 pp coverage; the 5->6 jump buys only +3.2 pp for the same
cost. Consumer recommendation: 5 anchors. Commercial / medical: 6.

Convenient numerology: N=5 simultaneously satisfies three other
constraints:
1. R7 multi-link mincut: needs N >= 4 for single-anchor-compromise
   detection
2. ADR-105 federation Krum: f=1 byzantine tolerance requires K >= 5
3. R6.2.2 coverage knee: 5 hits practical saturation

These all bound by similar inverse-square-of-geometry scaling, so the
alignment is not coincidental.

ADR-029 (multistatic) didn't specify anchor counts; R6.2.2 fills that
gap with a benchmark-backed number.

Honest scope: single 5x5m geometry tested, 2D still (R6.2.1 = 3D not
yet built), free-space (multipath adds +5-15% beyond Fresnel), greedy
with 8 restarts approximates global optimum to 1-2 pp.

Composes with:
- R6/R6.2 (direct generalisation)
- R7 (mincut needs N>=4)
- R1 (placement x precision = full geometry budget)
- ADR-029 (architectural recommendation now has a number)
- ADR-105 (Krum bound matches)
- R10, R11, R14 (other geometries / use cases)

Coordination: ticks/tick-17.md, no PROGRESS.md edit.
 		2026-05-22 03:17:14 -04:00
..
r1_toa_crlb.py research(R1): ToA CRLB — precision floor for WiFi multistatic localisation (#711) 2026-05-22 01:38:35 -04:00
r1_toa_crlb_results.json research(R1): ToA CRLB — precision floor for WiFi multistatic localisation (#711) 2026-05-22 01:38:35 -04:00
r3_crossroom_reid.py research(R3): cross-room re-ID — MERIDIAN closes the env-shift gap + 4 privacy constraints (#715) 2026-05-22 02:13:10 -04:00
r3_reid_results.json research(R3): cross-room re-ID — MERIDIAN closes the env-shift gap + 4 privacy constraints (#715) 2026-05-22 02:13:10 -04:00
r5_subcarrier_saliency.py research(sota): kick off SOTA research loop + first R5 saliency measurement (#702) 2026-05-21 23:05:55 -04:00
r6_2_2_multistatic_placement.py research(R6.2.2): N-anchor multistatic placement saturation — practical knee at N=5 (#720) 2026-05-22 03:17:14 -04:00
r6_2_2_multistatic_results.json research(R6.2.2): N-anchor multistatic placement saturation — practical knee at N=5 (#720) 2026-05-22 03:17:14 -04:00
r6_2_antenna_placement.py research(R6.2): Fresnel-aware antenna placement — 93x sensing-coverage lift from physics alone (#719) 2026-05-22 03:04:17 -04:00
r6_2_placement_results.json research(R6.2): Fresnel-aware antenna placement — 93x sensing-coverage lift from physics alone (#719) 2026-05-22 03:04:17 -04:00
r6_fresnel_results.json research(R6): Fresnel-zone forward model — bedrock physics for CSI sensitivity (#710) 2026-05-22 01:31:09 -04:00
r6_fresnel_zone.py research(R6): Fresnel-zone forward model — bedrock physics for CSI sensitivity (#710) 2026-05-22 01:31:09 -04:00
r7_multilink_consistency.py research(R7): Stoer-Wagner mincut detects adversarial CSI nodes 3/3 in synthetic (#704) 2026-05-21 23:28:46 -04:00
r7_multilink_consistency_results.json research(R7): Stoer-Wagner mincut detects adversarial CSI nodes 3/3 in synthetic (#704) 2026-05-21 23:28:46 -04:00
r8_rssi_only_count.py research(R8): RSSI-only person count retains 95% of full-CSI accuracy (#703) 2026-05-21 23:18:09 -04:00
r8_rssi_only_results.json research(R8): RSSI-only person count retains 95% of full-CSI accuracy (#703) 2026-05-21 23:18:09 -04:00
r9_rssi_fingerprint_knn.py feat(tools/ruview-mcp): M2 — wire real inference via cog health (#706) 2026-05-21 23:43:32 -04:00
r9_rssi_fingerprint_results.json feat(tools/ruview-mcp): M2 — wire real inference via cog health (#706) 2026-05-21 23:43:32 -04:00
r10_foliage_attenuation.py research(R10): through-foliage wildlife sensing — physics feasibility + per-species gait taxonomy 2026-05-22 00:59:11 -04:00
r10_foliage_results.json research(R10): through-foliage wildlife sensing — physics feasibility + per-species gait taxonomy 2026-05-22 00:59:11 -04:00
r11_maritime_propagation.py research(R11): maritime sensing — through-bulkhead impossible, through-seam works (#712) 2026-05-22 01:53:51 -04:00
r11_maritime_results.json research(R11): maritime sensing — through-bulkhead impossible, through-seam works (#712) 2026-05-22 01:53:51 -04:00
r12_rf_weather_eigenshift.py research(R12): RF weather mapping eigenshift — negative-ish, with clearly-actionable revision path (#707) 2026-05-21 23:52:49 -04:00
r12_rf_weather_results.json research(R12): RF weather mapping eigenshift — negative-ish, with clearly-actionable revision path (#707) 2026-05-21 23:52:49 -04:00
r13_bp_physics_floor.py research(R13): NEGATIVE — contactless BP from CSI is physically inferior to a cuff (#713) 2026-05-22 02:00:35 -04:00
r13_bp_results.json research(R13): NEGATIVE — contactless BP from CSI is physically inferior to a cuff (#713) 2026-05-22 02:00:35 -04:00