22-EFT.WP.Metrology.Instrument v1.0 | Chapter 15 — Use Cases & Reference Implementations

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Chapter 15 — Use Cases & Reference Implementations

One-Sentence Objective
Provide three representative, end-to-end metrology blueprints—(A) laboratory DC calibration bench, (B) RF phase-noise chain, and (C) field multi-instrument parallel acquisition—covering mode binding, metrology & time alignment, contracts & dashboards, auditing & publication.

I. Scope and Objects

1. Covered use cases
   • Use Case A (Laboratory DC Calibration Bench): SMU + DMM + TempChamber for source-measure calibration of low-drift devices.
   • Use Case B (RF Phase-Noise Measurement Chain): Ref OCXO/Rb + SG + SA/SDR, focused on phase noise and Allan deviation.
   • Use Case C (Field Multi-Instrument Parallel Acquisition): DAQ + Environmental Station + Radiometer/Camera, emphasizing synchronization, back-pressure, and compliant publication.
2. Common inputs
   Instrument & link metadata manifest.instrument.*; sync telemetry offset/skew/J; metrology telemetry U = k * u_c; runtime SLI.
3. Outputs
   Cleaned dataset D_clean, metrology & time manifests, contract evaluation report, dashboard metrics, and a signed release package.

II. Terms and Variables

• General: ts, tau_mono, offset, skew, J, rho, SLI, SLO, U, k, u_c, q_score.
• DC/low-frequency: V_src, I_src, V_meas, R_dev, ENOB, TUR, guardband.
• RF: S_phi(f) (phase-noise PSD), L(f) (dBc/Hz), sigma_y(tau) (Allan deviation), BW.
• Field parallel: chan/cap/q_len, throughput_sps, psi, W1.
• Dimension examples: unit(ts)="s", dim(ts)="[T]"; unit(V_src)="V", unit(I_src)="A".

III. Postulates P715-*

• P715-1 (Unified timebase): perform acquisition and aggregation on tau_mono; publish on ts, recording offset/skew/J and u(ts).
• P715-2 (Metrology first): when throughput conflicts with metrology, satisfy U and TUR first; downsample or extend integration as needed.
• P715-3 (Contract closure): before ingestion, pass uniqueness, monotonicity, dimensional, drift, and SLO contracts.
• P715-4 (Two arrival-time forms traceable): for path/arrival-time measurements, record both forms and delta_form in parallel.
• P715-5 (Dashboard equals contract): dashboard fields and thresholds are projections of compliance contracts; any excursion triggers rollback and audit.

IV. Minimal Equations S715-*

• S715-1 (TUR and guardband):
  TUR = ( T_spec / U ), conformant region TUR ≥ TUR_min; guardband = c_g * U.
• S715-2 (Source/measure consistency):
  check_dim( V_meas - V_src ) = 0; | V_meas - V_src | ≤ guardband.
• S715-3 (Phase noise and Allan):
  L(f) = 10 * log10( 0.5 * S_phi(f) ); sigma_y(tau) = sqrt( 0.5 * E[ ( y_{k+1} - y_k )^2 ] ).
• S715-4 (Stability condition):
  rho = lambda / mu < 1; do not publish before drift_level = psi or W1 reaches the threshold.
• S715-5 (Two arrival-time forms difference):
  delta_form = | ( 1 / c_ref ) * ( ∫ n_eff d ell ) - ( ∫ ( n_eff / c_ref ) d ell ) | ≤ tol_Tarr.

V. Use-Case Procedures M70-15

1. Use Case A: Laboratory DC Calibration Bench (SMU + DMM + TempChamber)
   • Readiness
     • Run standardize_names, repair_units; verify unit(V/I/R) and dim(*).
     • align_timebase: lock tau_mono, record offset/skew/J and u(ts).
   • Operation
     • Step the source: V_src ∈ Grid; DMM multi-read N_avg with concurrent temperature control T_set; persist RefCond.
     • Assess linearity and noise: compute INL/DNL, SNR, ENOB.
   • Verification
     Enforce | V_meas - V_src | ≤ guardband; TUR ≥ TUR_min; ENOB ≥ ENOB_min; psi ≤ psi_tol.
   • Persistence
     Emit manifest.instrument.dc, sign, and freeze release.
2. Use Case B: RF Phase-Noise Chain (Ref + SG + SA/SDR)
   • Readiness
     Master-clock election and PTP/SyncE alignment; offset/skew/J within spec; fix BW, RBW/VBW configurations.
   • Operation
     Capture I/Q; estimate S_phi(f) and L(f); compute sigma_y(tau) over windows.
   • Verification
     Validate reference leakage and ground-loop suppression; enforce floor and far-offset slope conventions for L(f); ensure sigma_y(tau) lies within target envelopes.
   • Persistence
     manifest.instrument.rf including RBW/VBW/BW, Ref, sigma_y_curve, U, and dashboard slices.
3. Use Case C: Field Multi-Instrument Parallel Acquisition (DAQ + Env + Radiometer/Camera)
   • Readiness
     Configure channels and back-pressure chan/cap/q_len; set rho_target; pre-stage freeze_release policy.
   • Operation
     • Multi-stream capture and alignment: time_align_for_stats; record both arrival-time forms in parallel.
     • Distribution alignment and down-weighting: compute psi/W1; trigger balance_distribution or apply down-weight labels.
   • Verification
     sample_loss_rate ≤ tol_loss; ts_skew_p95 ≤ tol_skew; psi ≤ psi_tol.
   • Persistence
     manifest.instrument.field including queue, timebase, distribution, and environmental RefCond.

VI. Contracts & Assertions C70-15* (Examples)

1. A-DC
   • timebase.ok: |offset| ≤ 1e-6 s, J_p95 ≤ 5e-7 s.
   • dc.metrology.ok: TUR ≥ 4, ENOB ≥ 18, |V_meas - V_src| ≤ 3 * U.
   • panel.ok: cmd_roundtrip_ms_p99 ≤ 50, rho < 0.85.
2. B-RF
   • rf.noise.ok: L(1kHz) ≤ L_spec_1k, L(10kHz) ≤ L_spec_10k.
   • allan.ok: sigma_y(tau) within target upper/lower envelopes.
   • sync.ok: skew ≤ 1e-7, u(ts)_p95 ≤ 1e-6 s.
3. C-Field
   • stream.ok: sample_loss_rate ≤ 1e-4, rho < 0.9.
   • drift.ok: psi ≤ 0.1 and W1 ≤ w1_tol.
   • arrival_forms.ok: delta_form ≤ tol_Tarr.

VII. Reference Bindings I70-15-*

• build_dc_bench(spec) -> session (assembly & self-check; emits manifest.instrument.dc.meta)
• run_dc_cal(session, grid, T_set, N_avg) -> ds_dc, report
• analyze_dc(ds_dc) -> {INL, DNL, ENOB, TUR, U}
• rf_capture_iq(cfg) -> iq_stream
• estimate_phase_noise(iq_stream, cfg) -> {S_phi, L, sigma_y}
• field_multistream_collect(cfg) -> bundle
• time_align_for_stats(bundle, sync_ref) -> bundle'
• detect_and_balance_drift(bundle', rules) -> bundle'', drift_report
• evaluate_instrument_contract(reports, contracts) -> decision
• emit_instrument_manifest(all_reports, tag) -> manifest.instrument.*
  Invariants: non_decreasing(ts); check_dim(expr)=0; alpha_spent ≤ alpha_budget; delta_form ≤ tol_Tarr.

VIII. Cross-References

• Timebase & synchronization: EFT.WP.Metrology.TimeBase v1.0, Chapters 4–9; EFT.WP.Metrology.Sync v1.0, Chapters 3–8.
• Cleaning & publication: EFT.WP.Methods.Cleaning v1.0, Chapter 10 and Appendix C.
• Statistics & drift: EFT.WP.Methods.CrossStats v1.0, Chapters 7, 14.
• Imaging chain (Use Case C): EFT.WP.Methods.Imaging v1.0, Chapters 5, 9, 14.

IX. Quality Metrics & Risk Control

1. Dashboard suggestions
   • DC: V_err_p95, ENOB, TUR, U_p95, temp_stability.
   • RF: L(1kHz/10kHz/100kHz), sigma_y(tau_grid), RBW/VBW, u(ts).
   • Field: ts_skew_p95, J_p95, sample_loss_rate, rho, psi/W1.
2. Rollback strategies
   • warn: extend integration or reduce sampling;
   • minor: switch RBW/VBW or enable reference lock;
   • major: rate-limit and reconfigure;
   • critical: switch to redundant instruments, freeze publication, and trigger audit.

Summary
With three end-to-end blueprints, this chapter operationalizes P715-* / S715-* / M70-15 / C70-15* / I70-15-*. Readers can copy parameter templates and contracts to rapidly assemble auditable, traceable metrology pipelines that meet their SLOs.