L1 ⚛ L1-473 ⊙ Testnet

Radiometric Sensor Calibration

Geodesy · Sensor calibration

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⬇ L1-473.md

# ⚛ L1 Principle — Radiometric Sensor Calibration **ID:** `L1-473` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Geodesy — *Sensor calibration* > **🎯 Problem class:** parameter estimation · **🧮 Solution space:** calibration coefficient vector > **📡 Carrier:** photon · **🌫 Noise:** gaussian > **⚖ Difficulty (δ):** 3 · **⛓ Block:** 41555299 --- ## 🧠 1. Introduction **Radiometric Sensor Calibration** is a **parameter-estimation problem** whose unknown lives in **calibration coefficient vector** space, within the **Sensor calibration** sub-domain of **Geodesy**. Measurements consist of photons collected by an optical detector via a **absolute radiometric calibration** sensing mechanism. The forward operator applies, in order: S · calibration · vicarious operator; operator inherits structure from a graph (mesh, network); O · least squares · calibration operator. Observations are corrupted by additive Gaussian noise. Existence of the recovered calibration_coefficient_vector is guaranteed within the declared Omega bounds. Uniqueness holds on the measurement-supported subspace; out-of-support modes are controlled by declared priors. Stability is conditionally stable (kappa_eff ~= 20); sensor_degradation_drift_percent_yr dominates the stability cliff; the remaining mismatch parameters contribute higher-order bias terms. Gaussian sets the irreducible data-fidelity floor. ## ⚙ 2. Forward Model Physical chain: **x** → S · calibration · vicarious → Structured graph operator → O · least squares · calibration → **y** (detector). ``` y = `O.least_squares.calibration` G `S.calibration.vicarious` x + n, n ~ 𝒩(0, σ²) ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `S.calibration.vicarious` | S · calibration · vicarious operator | | `G.structured` | Operator inherits structure from a graph (mesh, network) | | `O.least_squares.calibration` | O · least squares · calibration operator | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Geodesy | | Sub domain | Sensor calibration | | Carrier | photon | | Problem class | parameter_estimation | | Solution space | calibration_coefficient_vector | | Noise model | gaussian | | Integration axis | temporal_vicarious | | Difficulty delta | 3 | | L dag | 2.5 | ## 📡 4. Measurement Model Existence of the recovered calibration_coefficient_vector is guaranteed within the declared Omega bounds. Uniqueness holds on the measurement-supported subspace; out-of-support modes are controlled by declared priors. Stability is conditionally stable (kappa_eff ~= 20); sensor_degradation_drift_percent_yr dominates the stability cliff; the remaining mismatch parameters contribute higher-order bias terms. Gaussian sets the irreducible data-fidelity floor. | Metric | Value | |---|---| | Metric | radiometric_calibration_uncertainty_percent | | Secondary | reflectance_RMSE | ## 📏 5. Operating Range (Ω) **Center problem class:** `parameter_estimation` · **Forward operator:** `absolute_radiometric_calibration` **Center point:** | Parameter | Unit | Value | |---|---|---| | N bands | bands | 10 | | N cal sites | — | 20 | | Degradation percent yr | — | 0.5 | | Aerosol uncertainty aod | — | 0.02 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | N bands | bands | 1 – 100 | | N cal sites | — | 5 – 100 | | Degradation percent yr | — | 0.0 – 2.0 | | Aerosol uncertainty aod | — | 0.005 – 0.1 | ## 🎯 6. Tolerance (ε) **Center tolerance:** 2.0 radiometric_calibration_uncertainty_percent | Metric | Range | |---|---| | Radiometric calibration uncertainty percent | 0.5 – 10.0 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **radiometric_calibration_uncertainty_percent**, with κ = `500` and δ = `3`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0xaed9702d7418006fe1eceeffbcfb63696eb1a130cda9788d7e1bfbca17b9e189` - **Chain tx hash:** `0x1af13fbf67e41defa9f5cf19a2f3965c96e4123095dda29b4f143d72f9f79ea9` - **Chain block:** `41555299` --- ## File Mapping This bundle consists of: `L1-473.md`, `L1-473.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-473.md` | Source of truth — edit this | Human or LLM | | `L1-473.json` | Structured metadata for the registry | LLM regenerates from the sections above | **Prompt for your LLM after editing this Markdown:** > Read the attached Markdown. Regenerate the sibling `.json` so every field matches. > Preserve the schema documented in the rows above. > Output each file in its own fenced code block tagged with the filename. > Output only the JSON object. _This Markdown was auto-synthesized from the catalog row for `L1-473`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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Read the attached Markdown (L1-473.md).
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L2-473-001 Radiometric Sensor Calibration — Nominal + Mismatch Specs

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📋 JSON metadata

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    "integration_axis": "temporal_vicarious",
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    "title": "Radiometric Sensor Calibration"
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      "degradation_percent_yr": [
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        2.0
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "Sensor calibration",
  "title": "Radiometric Sensor Calibration"
}

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