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Clarify v1.1.1 kinematics and refresh Doppler audit

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Clarify payload/release version semantics, centered non-causal endpoint velocity diagnostics, 0.5 m/s flag scope, and background-actor boundary. Refresh the public array-center Doppler receipt/script with selected-versus-eligible counts, exclusion reasons, and magnitude-threshold stability. All 300 sample TAR archives remain byte-identical.

README.md CHANGED
@@ -41,15 +41,22 @@ generation toolchain or editable simulator assets are included.
41
 
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  ## v1.1.1 metadata compatibility patch
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44
- Version 1.1.1 preserves all 300 v1.1.0 sample TAR archives byte-for-byte
45
- and adds an explicit kinematics sidecar at
 
 
46
  `metadata/kinematics/pose_velocity_v1_1_1.npz`. The original velocity is
47
  exposed as `tx_route_command_velocity_mps` and
48
  `rx_route_command_velocity_mps`; the corresponding
49
  `tx_pose_derived_velocity_mps` and `rx_pose_derived_velocity_mps` arrays are
50
- 10-ms finite differences of the released endpoint positions. Per-frame closure
51
- errors and documented 0.5-m/s diagnostic validity flags are included. Use the
52
- pose-derived values for geometric range-rate or Doppler work.
 
 
 
 
 
53
 
54
  The mismatch was caused by the older waypoint-motion writer using a route
55
  orientation for velocity while position followed the interpolation-segment
 
41
 
42
  ## v1.1.1 metadata compatibility patch
43
 
44
+ **Version convention:** v1.1.0 denotes the immutable 300-episode data payload;
45
+ v1.1.1 denotes the current public release, comprising those byte-identical TAR
46
+ archives plus additive kinematics and paper-audit metadata. Version 1.1.1
47
+ adds an explicit kinematics sidecar at
48
  `metadata/kinematics/pose_velocity_v1_1_1.npz`. The original velocity is
49
  exposed as `tx_route_command_velocity_mps` and
50
  `rx_route_command_velocity_mps`; the corresponding
51
  `tx_pose_derived_velocity_mps` and `rx_pose_derived_velocity_mps` arrays are
52
+ centered finite differences over a total 10-ms span for interior states, with
53
+ documented one-sided episode boundaries. They are offline geometric
54
+ diagnostics, not temporally causal forecasting inputs; causal tasks should
55
+ derive backward differences from positions available at or before the anchor.
56
+ Per-frame closure errors and documented 0.5-m/s diagnostic consistency flags
57
+ are included. A false flag warns against treating the legacy route-command
58
+ velocity as a pose derivative; it does not invalidate pose, sensing, or RF
59
+ data.
60
 
61
  The mismatch was caused by the older waypoint-motion writer using a route
62
  orientation for velocity while position followed the interpolation-segment
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@@ -1,5 +1,5 @@
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metadata/json_schema.json CHANGED
@@ -165,6 +165,30 @@
165
  "type": "array",
166
  "uniqueItems": true
167
  },
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
168
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169
  "type": "object"
170
  },
@@ -202,7 +226,8 @@
202
  "distributions",
203
  "included_modalities",
204
  "excluded",
205
- "self_contained"
 
206
  ],
207
  "type": "object"
208
  },
 
165
  "type": "array",
166
  "uniqueItems": true
167
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168
+ "metadata_patch": {
169
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170
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171
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172
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173
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+ },
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178
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179
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180
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181
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182
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183
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184
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185
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186
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187
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188
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189
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190
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191
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192
  "packaging": {
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  "type": "object"
194
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226
  "distributions",
227
  "included_modalities",
228
  "excluded",
229
+ "self_contained",
230
+ "metadata_patch"
231
  ],
232
  "type": "object"
233
  },
metadata/kinematics/README.md CHANGED
@@ -20,10 +20,19 @@ with np.load(root / row["kinematics_sidecar_path"], allow_pickle=False) as data:
20
  ```
21
 
22
  `tx` is the RSU and `rx` is the CAV. Interior pose derivatives use a centered
23
- 10-ms span; the first and last ten frames use 10-ms one-sided spans. The
24
- 0.5-m/s validity flag is a diagnostic closure threshold, not a claim of real
25
- vehicle-dynamics accuracy. For geometric range rate, prefer
26
- the `tx_pose_derived_velocity_mps` or `rx_pose_derived_velocity_mps` array;
27
- retain its `tx_route_command_velocity_mps` or
28
- `rx_route_command_velocity_mps` counterpart only when the historical
29
- prescribed route-state semantics are intended.
 
 
 
 
 
 
 
 
 
 
20
  ```
21
 
22
  `tx` is the RSU and `rx` is the CAV. Interior pose derivatives use a centered
23
+ finite difference over a total 10-ms span (approximately `t-5 ms` to
24
+ `t+5 ms`). The first ten states reuse the forward difference between the
25
+ episode start and 10 ms; the last ten reuse the backward difference between
26
+ the final state and 10 ms before it. These arrays are offline geometric
27
+ diagnostics and are not temporally causal forecasting inputs. A causal task
28
+ must instead derive a backward difference from positions available at or
29
+ before its prediction anchor.
30
+
31
+ The 0.5-m/s validity flag is a diagnostic semantic-consistency threshold, not
32
+ a claim of real vehicle-dynamics accuracy and not a validity decision for the
33
+ pose, sensing payload, or RF channel. A false value only warns that the legacy
34
+ route-command velocity should not be interpreted as a pose derivative. Retain
35
+ `tx_route_command_velocity_mps` or `rx_route_command_velocity_mps` only when
36
+ the historical prescribed route-state semantics are intended. The sidecar
37
+ qualifies Tx/Rx endpoints only; background-actor pose remains authoritative
38
+ for RF geometry, and background speed metadata is outside this patch.
metadata/kinematics/patch_manifest.json CHANGED
@@ -1,6 +1,6 @@
1
  {
2
  "archive_policy": "All 300 v1.1.0 sample tar archives are preserved byte-for-byte.",
3
- "created_at_utc": "2026-08-24T06:27:31.498482+00:00",
4
  "dataset_version": "1.1.1",
5
  "endpoint_roles": {
6
  "rx": "CAV",
@@ -152,9 +152,11 @@
152
  }
153
  },
154
  "velocity_semantics": {
 
155
  "pose_derived_velocity_mps": "Finite difference of released endpoint positions using a centered 10-ms span and one-sided boundary spans.",
156
  "route_command_velocity_mps": "Original prescribed route-state velocity retained for compatibility.",
 
157
  "velocity_closure_error_mps": "Euclidean norm of pose-derived minus route-command velocity.",
158
- "velocity_validity_flag": "Closure error <= 0.5 m/s; a diagnostic threshold, not a physical-validity guarantee."
159
  }
160
  }
 
1
  {
2
  "archive_policy": "All 300 v1.1.0 sample tar archives are preserved byte-for-byte.",
3
+ "created_at_utc": "2026-08-24T07:40:32.924965+00:00",
4
  "dataset_version": "1.1.1",
5
  "endpoint_roles": {
6
  "rx": "CAV",
 
152
  }
153
  },
154
  "velocity_semantics": {
155
+ "pose_derived_velocity_causality": "Offline diagnostic: centered interior values use future positions and are not causal forecasting inputs; causal tasks must derive backward differences from position history.",
156
  "pose_derived_velocity_mps": "Finite difference of released endpoint positions using a centered 10-ms span and one-sided boundary spans.",
157
  "route_command_velocity_mps": "Original prescribed route-state velocity retained for compatibility.",
158
+ "scope": "Tx/Rx endpoints only; background-actor pose is authoritative for RF geometry and background speed metadata is outside this patch.",
159
  "velocity_closure_error_mps": "Euclidean norm of pose-derived minus route-command velocity.",
160
+ "velocity_validity_flag": "Closure error <= 0.5 m/s; a semantic-consistency diagnostic for the legacy route-command field, not a validity decision for pose, sensing, or RF data."
161
  }
162
  }
metadata/paper_reproducibility/receipts/array_doppler_audit.json CHANGED
@@ -12,7 +12,51 @@
12
  7.75
13
  ]
14
  },
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
15
  "center_equivalent_vs_position_increment": {
 
16
  "episode_bootstrap_linear_fit_95ci": {
17
  "intercept_hz": [
18
  -8.350328281484139e-05,
@@ -26,7 +70,7 @@
26
  1.000000014804258
27
  ]
28
  },
29
- "episode_count": 24,
30
  "episode_mean_bias_hz": -2.1684125403236113e-05,
31
  "episode_mean_linear_fit": {
32
  "episode_count": 14,
@@ -36,12 +80,15 @@
36
  "episode_mean_mae_hz": 0.10046421192500336,
37
  "episode_mean_max_abs_hz": 0.4361745479695031,
38
  "episode_mean_median_abs_hz": 0.08363949805165914,
39
- "episode_mean_p95_abs_hz": 0.24793345898848937,
40
  "episode_mean_pearson_r": 0.9999999999998328,
 
41
  "pair_count": 24386,
42
- "pooled_max_abs_hz": 0.692259747610251
 
43
  },
44
  "center_equivalent_vs_stored_velocity": {
 
45
  "episode_bootstrap_linear_fit_95ci": {
46
  "intercept_hz": [
47
  -0.25610807983767153,
@@ -55,58 +102,294 @@
55
  1.0087411799668777
56
  ]
57
  },
58
- "episode_count": 24,
59
  "episode_mean_bias_hz": 0.44569819283990736,
60
  "episode_mean_linear_fit": {
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  "episode_count": 14,
62
  "intercept_hz": 0.49202777151407323,
63
  "slope": 1.0022301919972967
64
  },
65
- "episode_mean_mae_hz": 2.3063294819169786,
66
  "episode_mean_max_abs_hz": 12.47455763247849,
67
  "episode_mean_median_abs_hz": 1.4070025822853423,
68
  "episode_mean_p95_abs_hz": 9.116030959632598,
69
  "episode_mean_pearson_r": 0.9999516429280418,
 
70
  "pair_count": 24386,
71
- "pooled_max_abs_hz": 54.458316091199194
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
72
  },
73
  "episodes": [
74
  {
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
75
  "direct_multiplicity_max": 0,
 
 
 
76
  "legacy_rx0_tx0_vs_center_geometry": {
77
- "bias_hz": NaN,
78
- "mae_hz": NaN,
79
- "max_abs_hz": NaN,
80
- "median_abs_hz": NaN,
81
- "p95_abs_hz": NaN,
82
  "pair_count": 0
83
  },
84
  "profile": "core",
85
  "sample_id": "Req_Town01_dynamic_60kmh_t004_rfmain",
86
  "symmetric_center_equivalent_vs_position_increment_geometry": {
87
- "bias_hz": NaN,
88
  "expected_mean_hz": NaN,
89
- "mae_hz": NaN,
90
- "max_abs_hz": NaN,
91
- "median_abs_hz": NaN,
92
  "observed_mean_hz": NaN,
93
- "p95_abs_hz": NaN,
94
  "pair_count": 0
95
  },
96
  "symmetric_center_equivalent_vs_stored_velocity_geometry": {
97
- "bias_hz": NaN,
98
  "expected_mean_hz": NaN,
99
- "mae_hz": NaN,
100
- "max_abs_hz": NaN,
101
- "median_abs_hz": NaN,
102
  "observed_mean_hz": NaN,
103
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  "semantic_note": "Legacy Rx0/Tx0 phase is an element-pair quantity. The symmetric product cancels array offsets and is compared with endpoint-center geometry.",
 
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+ "pair_min_relative_to_episode_max": {
2339
+ "count": 1999,
2340
+ "max": 0.9998508653603997,
2341
+ "median": 0.8452813376184489,
2342
+ "min": 0.7289965840972007,
2343
+ "p01": 0.7310968157832354,
2344
+ "p95": 0.9835684873479514
2345
+ },
2346
+ "threshold_sensitivity_vs_position_increment": {
2347
+ "1e-06": {
2348
+ "bias_hz": -9.524950191997772e-06,
2349
+ "mae_hz": 0.027840312694475455,
2350
+ "max_abs_hz": 0.11196399578859939,
2351
+ "median_abs_hz": 0.023840580521152788,
2352
+ "p95_abs_hz": 0.06692522522354664,
2353
+ "pair_count": 1999,
2354
+ "relative_threshold": 1e-06,
2355
+ "retained_fraction": 1.0
2356
+ },
2357
+ "1e-07": {
2358
+ "bias_hz": -9.524950191997772e-06,
2359
+ "mae_hz": 0.027840312694475455,
2360
+ "max_abs_hz": 0.11196399578859939,
2361
+ "median_abs_hz": 0.023840580521152788,
2362
+ "p95_abs_hz": 0.06692522522354664,
2363
+ "pair_count": 1999,
2364
+ "relative_threshold": 1e-07,
2365
+ "retained_fraction": 1.0
2366
+ },
2367
+ "1e-08": {
2368
+ "bias_hz": -9.524950191997772e-06,
2369
+ "mae_hz": 0.027840312694475455,
2370
+ "max_abs_hz": 0.11196399578859939,
2371
+ "median_abs_hz": 0.023840580521152788,
2372
+ "p95_abs_hz": 0.06692522522354664,
2373
+ "pair_count": 1999,
2374
+ "relative_threshold": 1e-08,
2375
+ "retained_fraction": 1.0
2376
+ },
2377
+ "nonzero": {
2378
+ "bias_hz": -9.524950191997772e-06,
2379
+ "mae_hz": 0.027840312694475455,
2380
+ "max_abs_hz": 0.11196399578859939,
2381
+ "median_abs_hz": 0.023840580521152788,
2382
+ "p95_abs_hz": 0.06692522522354664,
2383
+ "pair_count": 1999,
2384
+ "relative_threshold": 0.0,
2385
+ "retained_fraction": 1.0
2386
+ }
2387
+ }
2388
+ },
2389
  "direct_multiplicity_max": 1,
2390
+ "direct_state_count": 2000,
2391
+ "eligibility": "eligible",
2392
+ "finite_nonzero_center_state_count": 2000,
2393
  "legacy_rx0_tx0_vs_center_geometry": {
2394
  "bias_hz": -0.07334066154706237,
2395
  "mae_hz": 3.6262482648676624,
 
2423
  "town": "Town13"
2424
  },
2425
  {
2426
+ "adjacent_unique_type0_pair_candidates": 0,
2427
+ "ambiguous_direct_state_count": 0,
2428
+ "center_coefficient_magnitude_stability": {
2429
+ "episode_reference_max_abs": null,
2430
+ "pair_min_abs": {
2431
+ "count": 0,
2432
+ "max": null,
2433
+ "median": null,
2434
+ "min": null,
2435
+ "p01": null,
2436
+ "p95": null
2437
+ },
2438
+ "pair_min_relative_to_episode_max": {
2439
+ "count": 0,
2440
+ "max": null,
2441
+ "median": null,
2442
+ "min": null,
2443
+ "p01": null,
2444
+ "p95": null
2445
+ },
2446
+ "threshold_sensitivity_vs_position_increment": {
2447
+ "1e-06": {
2448
+ "bias_hz": null,
2449
+ "mae_hz": null,
2450
+ "max_abs_hz": null,
2451
+ "median_abs_hz": null,
2452
+ "p95_abs_hz": null,
2453
+ "pair_count": 0,
2454
+ "relative_threshold": 1e-06,
2455
+ "retained_fraction": null
2456
+ },
2457
+ "1e-07": {
2458
+ "bias_hz": null,
2459
+ "mae_hz": null,
2460
+ "max_abs_hz": null,
2461
+ "median_abs_hz": null,
2462
+ "p95_abs_hz": null,
2463
+ "pair_count": 0,
2464
+ "relative_threshold": 1e-07,
2465
+ "retained_fraction": null
2466
+ },
2467
+ "1e-08": {
2468
+ "bias_hz": null,
2469
+ "mae_hz": null,
2470
+ "max_abs_hz": null,
2471
+ "median_abs_hz": null,
2472
+ "p95_abs_hz": null,
2473
+ "pair_count": 0,
2474
+ "relative_threshold": 1e-08,
2475
+ "retained_fraction": null
2476
+ },
2477
+ "nonzero": {
2478
+ "bias_hz": null,
2479
+ "mae_hz": null,
2480
+ "max_abs_hz": null,
2481
+ "median_abs_hz": null,
2482
+ "p95_abs_hz": null,
2483
+ "pair_count": 0,
2484
+ "relative_threshold": 0.0,
2485
+ "retained_fraction": null
2486
+ }
2487
+ }
2488
+ },
2489
  "direct_multiplicity_max": 0,
2490
+ "direct_state_count": 0,
2491
+ "eligibility": "no_type0_direct_state",
2492
+ "finite_nonzero_center_state_count": 0,
2493
  "legacy_rx0_tx0_vs_center_geometry": {
2494
+ "bias_hz": null,
2495
+ "mae_hz": null,
2496
+ "max_abs_hz": null,
2497
+ "median_abs_hz": null,
2498
+ "p95_abs_hz": null,
2499
  "pair_count": 0
2500
  },
2501
  "profile": "scattering_medium",
2502
  "sample_id": "Req_Town15_dynamic_60kmh_t002_rfmain",
2503
  "symmetric_center_equivalent_vs_position_increment_geometry": {
2504
+ "bias_hz": null,
2505
  "expected_mean_hz": NaN,
2506
+ "mae_hz": null,
2507
+ "max_abs_hz": null,
2508
+ "median_abs_hz": null,
2509
  "observed_mean_hz": NaN,
2510
+ "p95_abs_hz": null,
2511
  "pair_count": 0
2512
  },
2513
  "symmetric_center_equivalent_vs_stored_velocity_geometry": {
2514
+ "bias_hz": null,
2515
  "expected_mean_hz": NaN,
2516
+ "mae_hz": null,
2517
+ "max_abs_hz": null,
2518
+ "median_abs_hz": null,
2519
  "observed_mean_hz": NaN,
2520
+ "p95_abs_hz": null,
2521
  "pair_count": 0
2522
  },
2523
  "town": "Town15"
2524
  },
2525
  {
2526
+ "adjacent_unique_type0_pair_candidates": 0,
2527
+ "ambiguous_direct_state_count": 0,
2528
+ "center_coefficient_magnitude_stability": {
2529
+ "episode_reference_max_abs": null,
2530
+ "pair_min_abs": {
2531
+ "count": 0,
2532
+ "max": null,
2533
+ "median": null,
2534
+ "min": null,
2535
+ "p01": null,
2536
+ "p95": null
2537
+ },
2538
+ "pair_min_relative_to_episode_max": {
2539
+ "count": 0,
2540
+ "max": null,
2541
+ "median": null,
2542
+ "min": null,
2543
+ "p01": null,
2544
+ "p95": null
2545
+ },
2546
+ "threshold_sensitivity_vs_position_increment": {
2547
+ "1e-06": {
2548
+ "bias_hz": null,
2549
+ "mae_hz": null,
2550
+ "max_abs_hz": null,
2551
+ "median_abs_hz": null,
2552
+ "p95_abs_hz": null,
2553
+ "pair_count": 0,
2554
+ "relative_threshold": 1e-06,
2555
+ "retained_fraction": null
2556
+ },
2557
+ "1e-07": {
2558
+ "bias_hz": null,
2559
+ "mae_hz": null,
2560
+ "max_abs_hz": null,
2561
+ "median_abs_hz": null,
2562
+ "p95_abs_hz": null,
2563
+ "pair_count": 0,
2564
+ "relative_threshold": 1e-07,
2565
+ "retained_fraction": null
2566
+ },
2567
+ "1e-08": {
2568
+ "bias_hz": null,
2569
+ "mae_hz": null,
2570
+ "max_abs_hz": null,
2571
+ "median_abs_hz": null,
2572
+ "p95_abs_hz": null,
2573
+ "pair_count": 0,
2574
+ "relative_threshold": 1e-08,
2575
+ "retained_fraction": null
2576
+ },
2577
+ "nonzero": {
2578
+ "bias_hz": null,
2579
+ "mae_hz": null,
2580
+ "max_abs_hz": null,
2581
+ "median_abs_hz": null,
2582
+ "p95_abs_hz": null,
2583
+ "pair_count": 0,
2584
+ "relative_threshold": 0.0,
2585
+ "retained_fraction": null
2586
+ }
2587
+ }
2588
+ },
2589
  "direct_multiplicity_max": 0,
2590
+ "direct_state_count": 0,
2591
+ "eligibility": "no_type0_direct_state",
2592
+ "finite_nonzero_center_state_count": 0,
2593
  "legacy_rx0_tx0_vs_center_geometry": {
2594
+ "bias_hz": null,
2595
+ "mae_hz": null,
2596
+ "max_abs_hz": null,
2597
+ "median_abs_hz": null,
2598
+ "p95_abs_hz": null,
2599
  "pair_count": 0
2600
  },
2601
  "profile": "core",
2602
  "sample_id": "Req_Town15_dynamic_60kmh_t020_rfsupp03",
2603
  "symmetric_center_equivalent_vs_position_increment_geometry": {
2604
+ "bias_hz": null,
2605
  "expected_mean_hz": NaN,
2606
+ "mae_hz": null,
2607
+ "max_abs_hz": null,
2608
+ "median_abs_hz": null,
2609
  "observed_mean_hz": NaN,
2610
+ "p95_abs_hz": null,
2611
  "pair_count": 0
2612
  },
2613
  "symmetric_center_equivalent_vs_stored_velocity_geometry": {
2614
+ "bias_hz": null,
2615
  "expected_mean_hz": NaN,
2616
+ "mae_hz": null,
2617
+ "max_abs_hz": null,
2618
+ "median_abs_hz": null,
2619
  "observed_mean_hz": NaN,
2620
+ "p95_abs_hz": null,
2621
  "pair_count": 0
2622
  },
2623
  "town": "Town15"
2624
  }
2625
  ],
2626
  "legacy": {
2627
+ "eligible_episode_count": 14,
2628
+ "episode_count": 14,
2629
  "episode_mean_bias_hz": 0.3463717186273215,
2630
  "episode_mean_mae_hz": 2.8161464244758645,
2631
  "episode_mean_max_abs_hz": 13.015620437622681,
2632
  "episode_mean_median_abs_hz": 1.9278234035924942,
2633
+ "episode_mean_p95_abs_hz": 9.447052586557586,
2634
+ "excluded_episode_count": 10,
2635
+ "pair_count": 24386,
2636
+ "selected_episode_count": 24
2637
  },
2638
  "scope": "24 frozen 60-km/h episodes; all 2,000 states per episode",
2639
  "semantic_note": "Legacy Rx0/Tx0 phase is an element-pair quantity. The symmetric product cancels array offsets and is compared with endpoint-center geometry.",
metadata/paper_reproducibility/scripts/analyze_scene2wave_array_doppler.py CHANGED
@@ -32,6 +32,7 @@ TX_CENTER_INDICES = (15, 16)
32
  RX_CENTER_INDICES = (0, 1)
33
  BOOTSTRAP_REPLICATES = 10_000
34
  BOOTSTRAP_SEED = 20260824
 
35
 
36
 
37
  def parse_args() -> argparse.Namespace:
@@ -54,9 +55,14 @@ def channel_files(sample_root: Path) -> list[Path]:
54
  return sorted(directories[0].glob("*_paths.npz"), key=frame_number)
55
 
56
 
 
 
 
 
 
57
  def normalized_symmetric_product(amplitudes: np.ndarray, path_index: int) -> complex:
58
  """Return the fourth-power array-center phasor for one path."""
59
- values = amplitudes[np.ix_(RX_CENTER_INDICES, TX_CENTER_INDICES, [path_index])].reshape(-1)
60
  magnitudes = np.abs(values)
61
  if values.size != 4 or np.any(~np.isfinite(values)) or np.any(magnitudes == 0):
62
  return complex(np.nan, np.nan)
@@ -92,6 +98,65 @@ def position_increment_doppler(previous_distance_m: float, current_distance_m: f
92
  return -carrier_hz * (current_distance_m - previous_distance_m) * sampling_rate_hz / LIGHT_SPEED_MPS
93
 
94
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
95
  def _audit_episode(task: tuple[dict[str, Any], str]) -> dict[str, Any]:
96
  row, dataset_root_text = task
97
  sample_root = Path(dataset_root_text) / row["relative_path"]
@@ -105,8 +170,14 @@ def _audit_episode(task: tuple[dict[str, Any], str]) -> dict[str, Any]:
105
  center_observed: list[float] = []
106
  expected_values: list[float] = []
107
  position_expected_values: list[float] = []
108
- previous: tuple[int, complex, complex, float, float, float] | None = None
 
109
  multiplicity_max = 0
 
 
 
 
 
110
  for path in files:
111
  with np.load(path, allow_pickle=False) as data:
112
  amplitudes = np.asarray(data["a"])[0, 0, :, 0, :, :, 0]
@@ -116,10 +187,27 @@ def _audit_episode(task: tuple[dict[str, Any], str]) -> dict[str, Any]:
116
  direct = np.flatnonzero(types == 0)
117
  multiplicity_max = max(multiplicity_max, int(direct.size))
118
  if direct.size != 1:
 
119
  previous = None
120
  continue
 
121
  index = int(direct[0])
122
  legacy = complex(amplitudes[0, 0, index])
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
123
  center = normalized_symmetric_product(amplitudes, index)
124
  expected = geometry_doppler(data)
125
  tx_position = np.asarray(data["tx_position_m"], dtype=np.float64).reshape(3)
@@ -129,6 +217,7 @@ def _audit_episode(task: tuple[dict[str, Any], str]) -> dict[str, Any]:
129
  frame = frame_number(path)
130
  rate = float(np.asarray(data["csi_sampling_frequency_hz"]).item())
131
  if previous is not None and frame == previous[0] + 1:
 
132
  legacy_hz = legacy_phase_doppler(previous[1], legacy, rate)
133
  center_hz = center_phase_doppler(previous[2], center, rate)
134
  expected_hz = 0.5 * (previous[3] + expected)
@@ -140,50 +229,74 @@ def _audit_episode(task: tuple[dict[str, Any], str]) -> dict[str, Any]:
140
  center_observed.append(center_hz)
141
  expected_values.append(expected_hz)
142
  position_expected_values.append(position_expected_hz)
143
- previous = (frame, legacy, center, expected, distance_m, carrier_hz)
144
-
145
- def compact(values: list[float]) -> dict[str, float | int]:
146
- array = np.asarray(values, dtype=np.float64)
147
- absolute = np.abs(array)
148
- return {
149
- "pair_count": int(array.size),
150
- "bias_hz": float(np.mean(array)) if array.size else math.nan,
151
- "mae_hz": float(np.mean(absolute)) if array.size else math.nan,
152
- "median_abs_hz": float(np.median(absolute)) if array.size else math.nan,
153
- "p95_abs_hz": float(np.percentile(absolute, 95)) if array.size else math.nan,
154
- "max_abs_hz": float(np.max(absolute)) if array.size else math.nan,
155
- }
156
 
157
- center_stats = compact(center_residuals)
158
  observed = np.asarray(center_observed, dtype=np.float64)
159
  expected = np.asarray(expected_values, dtype=np.float64)
160
  center_stats["observed_mean_hz"] = float(np.mean(observed)) if observed.size else math.nan
161
  center_stats["expected_mean_hz"] = float(np.mean(expected)) if expected.size else math.nan
162
- center_position_stats = compact(center_position_residuals)
163
  position_expected = np.asarray(position_expected_values, dtype=np.float64)
164
  center_position_stats["observed_mean_hz"] = float(np.mean(observed)) if observed.size else math.nan
165
  center_position_stats["expected_mean_hz"] = float(np.mean(position_expected)) if position_expected.size else math.nan
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
166
  return {
167
  "sample_id": row["sample_id"],
168
  "town": row["town"],
169
  "profile": row["profile"],
170
  "direct_multiplicity_max": multiplicity_max,
171
- "legacy_rx0_tx0_vs_center_geometry": compact(legacy_residuals),
 
 
 
 
 
172
  "symmetric_center_equivalent_vs_stored_velocity_geometry": center_stats,
173
  "symmetric_center_equivalent_vs_position_increment_geometry": center_position_stats,
 
 
 
 
 
 
 
 
174
  }
175
 
176
 
177
  def aggregate(rows: list[dict[str, Any]], key: str) -> dict[str, Any]:
178
  metrics = ("bias_hz", "mae_hz", "median_abs_hz", "p95_abs_hz", "max_abs_hz")
179
  pair_count = sum(int(row[key]["pair_count"]) for row in rows)
180
- result: dict[str, Any] = {"episode_count": len(rows), "pair_count": pair_count}
 
 
 
 
 
 
 
181
  for metric in metrics:
182
- values = np.asarray([row[key][metric] for row in rows], dtype=np.float64)
183
- result[f"episode_mean_{metric}"] = float(np.nanmean(values))
184
  if key.startswith("symmetric"):
185
- observed = np.asarray([row[key]["observed_mean_hz"] for row in rows], dtype=np.float64)
186
- expected = np.asarray([row[key]["expected_mean_hz"] for row in rows], dtype=np.float64)
187
  finite = np.isfinite(observed) & np.isfinite(expected)
188
  observed = observed[finite]
189
  expected = expected[finite]
@@ -211,10 +324,78 @@ def aggregate(rows: list[dict[str, Any]], key: str) -> dict[str, Any]:
211
  "slope": [float(value) for value in np.percentile(fits[:, 0], [2.5, 97.5])],
212
  "intercept_hz": [float(value) for value in np.percentile(fits[:, 1], [2.5, 97.5])],
213
  }
214
- result["pooled_max_abs_hz"] = float(np.nanmax([row[key]["max_abs_hz"] for row in rows]))
215
  return result
216
 
217
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
218
  def plot_center_position_parity(rows: list[dict[str, Any]], destination: Path) -> None:
219
  key = "symmetric_center_equivalent_vs_position_increment_geometry"
220
  expected = np.asarray([row[key]["expected_mean_hz"] for row in rows], dtype=np.float64)
@@ -270,9 +451,11 @@ def main() -> int:
270
  "rx_normalized_y_lambda": [-0.25, 0.25],
271
  },
272
  "semantic_note": "Legacy Rx0/Tx0 phase is an element-pair quantity. The symmetric product cancels array offsets and is compared with endpoint-center geometry.",
 
273
  "legacy": aggregate(rows, "legacy_rx0_tx0_vs_center_geometry"),
274
  "center_equivalent_vs_stored_velocity": aggregate(rows, "symmetric_center_equivalent_vs_stored_velocity_geometry"),
275
  "center_equivalent_vs_position_increment": aggregate(rows, "symmetric_center_equivalent_vs_position_increment_geometry"),
 
276
  "episodes": rows,
277
  }
278
  args.output_root.mkdir(parents=True, exist_ok=True)
@@ -288,6 +471,8 @@ def main() -> int:
288
  "",
289
  report["scope"],
290
  "",
 
 
291
  "| Definition | Adjacent pairs | Episode-mean MAE | Episode-mean bias | Episode-mean P95 abs. |",
292
  "|---|---:|---:|---:|---:|",
293
  f"| Legacy Rx0/Tx0 vs endpoint center | {legacy['pair_count']:,} | {legacy['episode_mean_mae_hz']:.4f} Hz | {legacy['episode_mean_bias_hz']:.4f} Hz | {legacy['episode_mean_p95_abs_hz']:.4f} Hz |",
@@ -297,6 +482,15 @@ def main() -> int:
297
  f"Center-equivalent episode-mean Pearson correlation: {center_position['episode_mean_pearson_r']:.6f} against adjacent-position range rate ({center['episode_mean_pearson_r']:.6f} against stored velocity).",
298
  f"The position-derived episode-mean fit has slope {center_position['episode_mean_linear_fit']['slope']:.8f} and intercept {center_position['episode_mean_linear_fit']['intercept_hz']:.6f} Hz; its pooled maximum absolute pair error is {center_position['pooled_max_abs_hz']:.4f} Hz.",
299
  "",
 
 
 
 
 
 
 
 
 
300
  "The legacy definition is retained only as a diagnostic. Paper claims should use the center-equivalent result or explicitly name the antenna element pair.",
301
  ]
302
  (args.output_root / "README.md").write_text("\n".join(lines) + "\n", encoding="utf-8")
 
32
  RX_CENTER_INDICES = (0, 1)
33
  BOOTSTRAP_REPLICATES = 10_000
34
  BOOTSTRAP_SEED = 20260824
35
+ MAGNITUDE_RELATIVE_THRESHOLDS = (0.0, 1.0e-8, 1.0e-7, 1.0e-6)
36
 
37
 
38
  def parse_args() -> argparse.Namespace:
 
55
  return sorted(directories[0].glob("*_paths.npz"), key=frame_number)
56
 
57
 
58
+ def symmetric_center_values(amplitudes: np.ndarray, path_index: int) -> np.ndarray:
59
+ """Return the four central Tx/Rx coefficients used by the center audit."""
60
+ return amplitudes[np.ix_(RX_CENTER_INDICES, TX_CENTER_INDICES, [path_index])].reshape(-1)
61
+
62
+
63
  def normalized_symmetric_product(amplitudes: np.ndarray, path_index: int) -> complex:
64
  """Return the fourth-power array-center phasor for one path."""
65
+ values = symmetric_center_values(amplitudes, path_index)
66
  magnitudes = np.abs(values)
67
  if values.size != 4 or np.any(~np.isfinite(values)) or np.any(magnitudes == 0):
68
  return complex(np.nan, np.nan)
 
98
  return -carrier_hz * (current_distance_m - previous_distance_m) * sampling_rate_hz / LIGHT_SPEED_MPS
99
 
100
 
101
+ def compact_residuals(values: np.ndarray | list[float]) -> dict[str, float | int | None]:
102
+ array = np.asarray(values, dtype=np.float64)
103
+ absolute = np.abs(array)
104
+ if not array.size:
105
+ return {
106
+ "pair_count": 0,
107
+ "bias_hz": None,
108
+ "mae_hz": None,
109
+ "median_abs_hz": None,
110
+ "p95_abs_hz": None,
111
+ "max_abs_hz": None,
112
+ }
113
+ return {
114
+ "pair_count": int(array.size),
115
+ "bias_hz": float(np.mean(array)),
116
+ "mae_hz": float(np.mean(absolute)),
117
+ "median_abs_hz": float(np.median(absolute)),
118
+ "p95_abs_hz": float(np.percentile(absolute, 95)),
119
+ "max_abs_hz": float(np.max(absolute)),
120
+ }
121
+
122
+
123
+ def compact_positive(values: np.ndarray | list[float]) -> dict[str, float | int | None]:
124
+ array = np.asarray(values, dtype=np.float64)
125
+ array = array[np.isfinite(array)]
126
+ if not array.size:
127
+ return {"count": 0, "min": None, "p01": None, "median": None, "p95": None, "max": None}
128
+ return {
129
+ "count": int(array.size),
130
+ "min": float(np.min(array)),
131
+ "p01": float(np.percentile(array, 1)),
132
+ "median": float(np.median(array)),
133
+ "p95": float(np.percentile(array, 95)),
134
+ "max": float(np.max(array)),
135
+ }
136
+
137
+
138
+ def magnitude_threshold_sensitivity(
139
+ residuals: np.ndarray | list[float],
140
+ pair_min_relative_magnitude: np.ndarray | list[float],
141
+ ) -> dict[str, dict[str, float | int | None]]:
142
+ residual_array = np.asarray(residuals, dtype=np.float64)
143
+ relative = np.asarray(pair_min_relative_magnitude, dtype=np.float64)
144
+ if residual_array.shape != relative.shape:
145
+ raise ValueError("Residual and magnitude arrays must have identical shapes")
146
+ output: dict[str, dict[str, float | int | None]] = {}
147
+ baseline_count = int(residual_array.size)
148
+ for threshold in MAGNITUDE_RELATIVE_THRESHOLDS:
149
+ key = "nonzero" if threshold == 0.0 else f"{threshold:.0e}"
150
+ mask = np.isfinite(relative) & (relative > threshold)
151
+ summary = compact_residuals(residual_array[mask])
152
+ summary["relative_threshold"] = float(threshold)
153
+ summary["retained_fraction"] = (
154
+ float(summary["pair_count"]) / baseline_count if baseline_count else None
155
+ )
156
+ output[key] = summary
157
+ return output
158
+
159
+
160
  def _audit_episode(task: tuple[dict[str, Any], str]) -> dict[str, Any]:
161
  row, dataset_root_text = task
162
  sample_root = Path(dataset_root_text) / row["relative_path"]
 
170
  center_observed: list[float] = []
171
  expected_values: list[float] = []
172
  position_expected_values: list[float] = []
173
+ pair_min_center_magnitudes: list[float] = []
174
+ previous: tuple[int, complex, complex, float, float, float, float] | None = None
175
  multiplicity_max = 0
176
+ direct_state_count = 0
177
+ finite_center_state_count = 0
178
+ adjacent_direct_candidate_count = 0
179
+ ambiguous_direct_state_count = 0
180
+ center_reference_max_abs = 0.0
181
  for path in files:
182
  with np.load(path, allow_pickle=False) as data:
183
  amplitudes = np.asarray(data["a"])[0, 0, :, 0, :, :, 0]
 
187
  direct = np.flatnonzero(types == 0)
188
  multiplicity_max = max(multiplicity_max, int(direct.size))
189
  if direct.size != 1:
190
+ ambiguous_direct_state_count += int(direct.size > 1)
191
  previous = None
192
  continue
193
+ direct_state_count += 1
194
  index = int(direct[0])
195
  legacy = complex(amplitudes[0, 0, index])
196
+ center_values = symmetric_center_values(amplitudes, index)
197
+ center_magnitudes = np.abs(center_values)
198
+ finite_center = bool(
199
+ center_values.size == 4
200
+ and np.all(np.isfinite(center_values))
201
+ and np.all(center_magnitudes > 0)
202
+ )
203
+ if finite_center:
204
+ finite_center_state_count += 1
205
+ center_reference_max_abs = max(
206
+ center_reference_max_abs, float(np.max(center_magnitudes))
207
+ )
208
+ center_min_abs = float(np.min(center_magnitudes))
209
+ else:
210
+ center_min_abs = math.nan
211
  center = normalized_symmetric_product(amplitudes, index)
212
  expected = geometry_doppler(data)
213
  tx_position = np.asarray(data["tx_position_m"], dtype=np.float64).reshape(3)
 
217
  frame = frame_number(path)
218
  rate = float(np.asarray(data["csi_sampling_frequency_hz"]).item())
219
  if previous is not None and frame == previous[0] + 1:
220
+ adjacent_direct_candidate_count += 1
221
  legacy_hz = legacy_phase_doppler(previous[1], legacy, rate)
222
  center_hz = center_phase_doppler(previous[2], center, rate)
223
  expected_hz = 0.5 * (previous[3] + expected)
 
229
  center_observed.append(center_hz)
230
  expected_values.append(expected_hz)
231
  position_expected_values.append(position_expected_hz)
232
+ pair_min_center_magnitudes.append(min(previous[6], center_min_abs))
233
+ previous = (frame, legacy, center, expected, distance_m, carrier_hz, center_min_abs)
 
 
 
 
 
 
 
 
 
 
 
234
 
235
+ center_stats = compact_residuals(center_residuals)
236
  observed = np.asarray(center_observed, dtype=np.float64)
237
  expected = np.asarray(expected_values, dtype=np.float64)
238
  center_stats["observed_mean_hz"] = float(np.mean(observed)) if observed.size else math.nan
239
  center_stats["expected_mean_hz"] = float(np.mean(expected)) if expected.size else math.nan
240
+ center_position_stats = compact_residuals(center_position_residuals)
241
  position_expected = np.asarray(position_expected_values, dtype=np.float64)
242
  center_position_stats["observed_mean_hz"] = float(np.mean(observed)) if observed.size else math.nan
243
  center_position_stats["expected_mean_hz"] = float(np.mean(position_expected)) if position_expected.size else math.nan
244
+ pair_min_abs = np.asarray(pair_min_center_magnitudes, dtype=np.float64)
245
+ pair_min_relative = (
246
+ pair_min_abs / center_reference_max_abs
247
+ if center_reference_max_abs > 0.0
248
+ else np.full(pair_min_abs.shape, np.nan, dtype=np.float64)
249
+ )
250
+ pair_count = int(center_position_stats["pair_count"])
251
+ if pair_count:
252
+ eligibility = "eligible"
253
+ elif direct_state_count == 0:
254
+ eligibility = "no_type0_direct_state"
255
+ elif adjacent_direct_candidate_count == 0:
256
+ eligibility = "no_adjacent_unique_type0_pair"
257
+ else:
258
+ eligibility = "no_finite_nonzero_center_pair"
259
  return {
260
  "sample_id": row["sample_id"],
261
  "town": row["town"],
262
  "profile": row["profile"],
263
  "direct_multiplicity_max": multiplicity_max,
264
+ "direct_state_count": direct_state_count,
265
+ "finite_nonzero_center_state_count": finite_center_state_count,
266
+ "adjacent_unique_type0_pair_candidates": adjacent_direct_candidate_count,
267
+ "ambiguous_direct_state_count": ambiguous_direct_state_count,
268
+ "eligibility": eligibility,
269
+ "legacy_rx0_tx0_vs_center_geometry": compact_residuals(legacy_residuals),
270
  "symmetric_center_equivalent_vs_stored_velocity_geometry": center_stats,
271
  "symmetric_center_equivalent_vs_position_increment_geometry": center_position_stats,
272
+ "center_coefficient_magnitude_stability": {
273
+ "episode_reference_max_abs": center_reference_max_abs or None,
274
+ "pair_min_abs": compact_positive(pair_min_abs),
275
+ "pair_min_relative_to_episode_max": compact_positive(pair_min_relative),
276
+ "threshold_sensitivity_vs_position_increment": magnitude_threshold_sensitivity(
277
+ center_position_residuals, pair_min_relative
278
+ ),
279
+ },
280
  }
281
 
282
 
283
  def aggregate(rows: list[dict[str, Any]], key: str) -> dict[str, Any]:
284
  metrics = ("bias_hz", "mae_hz", "median_abs_hz", "p95_abs_hz", "max_abs_hz")
285
  pair_count = sum(int(row[key]["pair_count"]) for row in rows)
286
+ eligible_rows = [row for row in rows if int(row[key]["pair_count"]) > 0]
287
+ result: dict[str, Any] = {
288
+ "selected_episode_count": len(rows),
289
+ "episode_count": len(eligible_rows),
290
+ "eligible_episode_count": len(eligible_rows),
291
+ "excluded_episode_count": len(rows) - len(eligible_rows),
292
+ "pair_count": pair_count,
293
+ }
294
  for metric in metrics:
295
+ values = np.asarray([row[key][metric] for row in eligible_rows], dtype=np.float64)
296
+ result[f"episode_mean_{metric}"] = float(np.mean(values)) if values.size else None
297
  if key.startswith("symmetric"):
298
+ observed = np.asarray([row[key]["observed_mean_hz"] for row in eligible_rows], dtype=np.float64)
299
+ expected = np.asarray([row[key]["expected_mean_hz"] for row in eligible_rows], dtype=np.float64)
300
  finite = np.isfinite(observed) & np.isfinite(expected)
301
  observed = observed[finite]
302
  expected = expected[finite]
 
324
  "slope": [float(value) for value in np.percentile(fits[:, 0], [2.5, 97.5])],
325
  "intercept_hz": [float(value) for value in np.percentile(fits[:, 1], [2.5, 97.5])],
326
  }
327
+ result["pooled_max_abs_hz"] = float(np.max([row[key]["max_abs_hz"] for row in eligible_rows]))
328
  return result
329
 
330
 
331
+ def eligibility_coverage(rows: list[dict[str, Any]]) -> dict[str, Any]:
332
+ eligible = [row for row in rows if row["eligibility"] == "eligible"]
333
+ excluded = [row for row in rows if row["eligibility"] != "eligible"]
334
+ return {
335
+ "selected_episode_count": len(rows),
336
+ "eligible_episode_count": len(eligible),
337
+ "excluded_episode_count": len(excluded),
338
+ "eligible_towns": sorted({row["town"] for row in eligible}),
339
+ "eligible_town_count": len({row["town"] for row in eligible}),
340
+ "eligible_profiles": sorted({row["profile"] for row in eligible}),
341
+ "eligible_profile_count": len({row["profile"] for row in eligible}),
342
+ "eligible_sample_ids": [row["sample_id"] for row in eligible],
343
+ "excluded": [
344
+ {
345
+ "sample_id": row["sample_id"],
346
+ "town": row["town"],
347
+ "profile": row["profile"],
348
+ "reason": row["eligibility"],
349
+ }
350
+ for row in excluded
351
+ ],
352
+ }
353
+
354
+
355
+ def aggregate_magnitude_stability(rows: list[dict[str, Any]]) -> dict[str, Any]:
356
+ baseline_pairs = sum(
357
+ int(row["symmetric_center_equivalent_vs_position_increment_geometry"]["pair_count"])
358
+ for row in rows
359
+ )
360
+ thresholds: dict[str, Any] = {}
361
+ for threshold in MAGNITUDE_RELATIVE_THRESHOLDS:
362
+ key = "nonzero" if threshold == 0.0 else f"{threshold:.0e}"
363
+ episode_summaries = [
364
+ row["center_coefficient_magnitude_stability"]["threshold_sensitivity_vs_position_increment"][key]
365
+ for row in rows
366
+ ]
367
+ eligible = [summary for summary in episode_summaries if int(summary["pair_count"]) > 0]
368
+ retained_pairs = sum(int(summary["pair_count"]) for summary in eligible)
369
+ thresholds[key] = {
370
+ "relative_threshold": float(threshold),
371
+ "eligible_episode_count": len(eligible),
372
+ "pair_count": retained_pairs,
373
+ "retained_fraction": retained_pairs / baseline_pairs if baseline_pairs else None,
374
+ "episode_mean_mae_hz": (
375
+ float(np.mean([summary["mae_hz"] for summary in eligible])) if eligible else None
376
+ ),
377
+ "episode_mean_p95_abs_hz": (
378
+ float(np.mean([summary["p95_abs_hz"] for summary in eligible])) if eligible else None
379
+ ),
380
+ "pooled_max_abs_hz": (
381
+ float(np.max([summary["max_abs_hz"] for summary in eligible])) if eligible else None
382
+ ),
383
+ }
384
+ episode_min_relative = [
385
+ row["center_coefficient_magnitude_stability"]["pair_min_relative_to_episode_max"]["min"]
386
+ for row in rows
387
+ if row["center_coefficient_magnitude_stability"]["pair_min_relative_to_episode_max"]["min"] is not None
388
+ ]
389
+ return {
390
+ "reference": "minimum magnitude across the four central type-0 coefficients in both adjacent states, divided by the episode maximum across those coefficients",
391
+ "baseline_pair_count": baseline_pairs,
392
+ "minimum_episode_pair_relative_magnitude": (
393
+ float(np.min(episode_min_relative)) if episode_min_relative else None
394
+ ),
395
+ "threshold_sensitivity": thresholds,
396
+ }
397
+
398
+
399
  def plot_center_position_parity(rows: list[dict[str, Any]], destination: Path) -> None:
400
  key = "symmetric_center_equivalent_vs_position_increment_geometry"
401
  expected = np.asarray([row[key]["expected_mean_hz"] for row in rows], dtype=np.float64)
 
451
  "rx_normalized_y_lambda": [-0.25, 0.25],
452
  },
453
  "semantic_note": "Legacy Rx0/Tx0 phase is an element-pair quantity. The symmetric product cancels array offsets and is compared with endpoint-center geometry.",
454
+ "eligibility_coverage": eligibility_coverage(rows),
455
  "legacy": aggregate(rows, "legacy_rx0_tx0_vs_center_geometry"),
456
  "center_equivalent_vs_stored_velocity": aggregate(rows, "symmetric_center_equivalent_vs_stored_velocity_geometry"),
457
  "center_equivalent_vs_position_increment": aggregate(rows, "symmetric_center_equivalent_vs_position_increment_geometry"),
458
+ "center_coefficient_magnitude_stability": aggregate_magnitude_stability(rows),
459
  "episodes": rows,
460
  }
461
  args.output_root.mkdir(parents=True, exist_ok=True)
 
471
  "",
472
  report["scope"],
473
  "",
474
+ f"Selected episodes: {report['eligibility_coverage']['selected_episode_count']}; eligible: {report['eligibility_coverage']['eligible_episode_count']} across {report['eligibility_coverage']['eligible_town_count']} Towns and {report['eligibility_coverage']['eligible_profile_count']} profiles.",
475
+ "",
476
  "| Definition | Adjacent pairs | Episode-mean MAE | Episode-mean bias | Episode-mean P95 abs. |",
477
  "|---|---:|---:|---:|---:|",
478
  f"| Legacy Rx0/Tx0 vs endpoint center | {legacy['pair_count']:,} | {legacy['episode_mean_mae_hz']:.4f} Hz | {legacy['episode_mean_bias_hz']:.4f} Hz | {legacy['episode_mean_p95_abs_hz']:.4f} Hz |",
 
482
  f"Center-equivalent episode-mean Pearson correlation: {center_position['episode_mean_pearson_r']:.6f} against adjacent-position range rate ({center['episode_mean_pearson_r']:.6f} against stored velocity).",
483
  f"The position-derived episode-mean fit has slope {center_position['episode_mean_linear_fit']['slope']:.8f} and intercept {center_position['episode_mean_linear_fit']['intercept_hz']:.6f} Hz; its pooled maximum absolute pair error is {center_position['pooled_max_abs_hz']:.4f} Hz.",
484
  "",
485
+ "Magnitude-threshold sensitivity (threshold is relative to the episode maximum across the four central direct coefficients):",
486
+ "",
487
+ "| Relative threshold | Eligible episodes | Adjacent pairs | Retained | Episode-mean MAE | Episode-mean P95 abs. | Pooled max abs. |",
488
+ "|---:|---:|---:|---:|---:|---:|---:|",
489
+ *[
490
+ f"| {entry['relative_threshold']:.0e} | {entry['eligible_episode_count']} | {entry['pair_count']:,} | {entry['retained_fraction']:.6f} | {entry['episode_mean_mae_hz']:.4f} Hz | {entry['episode_mean_p95_abs_hz']:.4f} Hz | {entry['pooled_max_abs_hz']:.4f} Hz |"
491
+ for entry in report["center_coefficient_magnitude_stability"]["threshold_sensitivity"].values()
492
+ ],
493
+ "",
494
  "The legacy definition is retained only as a diagnostic. Paper claims should use the center-equivalent result or explicitly name the antenna element pair.",
495
  ]
496
  (args.output_root / "README.md").write_text("\n".join(lines) + "\n", encoding="utf-8")