L1 ⚛ L1-292 ⊙ Testnet

Tidal Analysis — harmonic tidal constituent extraction

Geophysics · Harmonic tidal analysis from tide gauge

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⬇ L1-292.md

# ⚛ L1 Principle — Tidal Analysis — harmonic tidal constituent extraction **ID:** `L1-292` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Geophysics — *Harmonic tidal analysis from tide gauge* > **🎯 Problem class:** linear inverse · **🧮 Solution space:** tidal harmonic amps phases > **📡 Carrier:** mechanical · **🌫 Noise:** gaussian > **⚖ Difficulty (δ):** 3 · **⛓ Block:** 41554066 --- ## 🧠 1. Introduction **Tidal Analysis — harmonic tidal constituent extraction** is a **linear inverse problem** whose unknown lives in **tidal harmonic amps phases** space, within the **Harmonic tidal analysis from tide gauge** sub-domain of **Geophysics**. Measurements consist of mechanical vibrations or strain signals via a **tide gauge** sensing mechanism. The forward operator applies, in order: L · fourier harmonic operator; L · nodal correction operator; L · least squares operator; integration over a band of frequencies. Observations are corrupted by additive Gaussian noise. Conditional stability; mismatch parameters dominate at Omega bounds. ## ⚙ 2. Forward Model Physical chain: **x** → L · fourier harmonic → L · nodal correction → L · least squares → Frequency integration → **y** (detector). ``` y = ∫dω `L.least_squares` `L.nodal_correction` `L.fourier_harmonic` x + n, n ~ 𝒩(0, σ²) ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `L.fourier_harmonic` | L · fourier harmonic operator | | `L.nodal_correction` | L · nodal correction operator | | `L.least_squares` | L · least squares operator | | `int.frequency` | Integration over a band of frequencies | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Geophysics | | Sub domain | Harmonic tidal analysis from tide gauge | | Carrier | mechanical | | Problem class | linear_inverse | | Solution space | tidal_harmonic_amps_phases | | Noise model | gaussian | | Integration axis | frequency | | Difficulty delta | 3 | | L dag | 3 | ## 📡 4. Measurement Model Conditional stability; mismatch parameters dominate at Omega bounds. | Metric | Value | |---|---| | Metric | PSNR_dB | | Secondary | SSIM | ## 📏 5. Operating Range (Ω) **Center problem class:** `tide_harmonic` · **Forward operator:** `tide_harmonic_forward` **Center point:** | Parameter | Unit | Value | |---|---|---| | Snr db | dB | 40 | | N samples | — | 17520 | | Nodal error | — | 0 | | N constituents | — | 37 | | Residual surge | — | 0 | | Shallow water error | — | 0 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | Snr db | dB | 10 – 60 | | N samples | — | 720 – 525600 | | Nodal error | — | 0.0 – 0.05 | | N constituents | — | 5 – 200 | | Residual surge | — | 0.0 – 0.3 | | Shallow water error | — | 0.0 – 0.2 | ## 🎯 6. Tolerance (ε) **Center tolerance:** 28.0 | Metric | Range | |---|---| | Psnr db | 10.0 – 45.0 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **PSNR_dB**, with κ = `200` and δ = `3`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0x34bdda3d752390eb4e2b7a58cf4b031478f9bb3ed955e18b83281c7e4abb031d` - **Chain tx hash:** `0x0d05c7a7d18078778b7e3e5738b5574997dc2375524c67d6ecfb49932d2c68c9` - **Chain block:** `41554066` --- ## File Mapping This bundle consists of: `L1-292.md`, `L1-292.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-292.md` | Source of truth — edit this | Human or LLM | | `L1-292.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 `L1-292`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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Read the attached Markdown (L1-292.md).
Regenerate L1-292.json so every field matches the Markdown.
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L2-292-001 Tidal Analysis — harmonic tidal constituent extraction Mismatch-Only Spec

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📋 JSON metadata

{
  "artifact_id": "L1-292",
  "chain_block": 41554066,
  "chain_hash": "0x34bdda3d752390eb4e2b7a58cf4b031478f9bb3ed955e18b83281c7e4abb031d",
  "chain_tx_hash": "0x0d05c7a7d18078778b7e3e5738b5574997dc2375524c67d6ecfb49932d2c68c9",
  "domain": "Geophysics",
  "hardness_fn": {
    "delta": 3,
    "kappa": 200,
    "metric": "PSNR_dB",
    "type": "epsilon_fn"
  },
  "initiator_dataset": [
    {
      "ipfs_cid": null,
      "license_hash": null,
      "name": "primary",
      "weight": 1.0
    }
  ],
  "layer": "L1",
  "observable_profile": {
    "metric": "PSNR_dB",
    "regime": "Conditional stability; mismatch parameters dominate at Omega bounds.",
    "secondary": "SSIM"
  },
  "physics_fingerprint": {
    "L_DAG": 3.0,
    "carrier": "mechanical",
    "difficulty_delta": 3,
    "domain": "Geophysics",
    "integration_axis": "frequency",
    "noise_model": "gaussian",
    "primitives": [
      "L.fourier_harmonic",
      "L.nodal_correction",
      "L.least_squares",
      "int.frequency"
    ],
    "problem_class": "linear_inverse",
    "sensing_mechanism": "tide_gauge",
    "solution_space": "tidal_harmonic_amps_phases",
    "sub_domain": "Harmonic tidal analysis from tide gauge",
    "title": "Tidal Analysis \u2014 harmonic tidal constituent extraction"
  },
  "size_tiers": {
    "allowed_forward_operators": [
      "tide_harmonic_forward"
    ],
    "allowed_omega_dimensions": [
      "N_constituents",
      "N_samples",
      "SNR_dB",
      "nodal_error",
      "shallow_water_error",
      "residual_surge",
      "nodal_error",
      "shallow_water_error",
      "residual_surge"
    ],
    "allowed_problem_classes": [
      "tide_harmonic"
    ],
    "center_spec": {
      "epsilon_fn_center": "28.0",
      "forward_operator": "tide_harmonic_forward",
      "input_format": "measurement_only",
      "omega": {
        "N_constituents": 37,
        "N_samples": 17520,
        "SNR_dB": 40,
        "nodal_error": 0.0,
        "residual_surge": 0.0,
        "shallow_water_error": 0.0
      },
      "problem_class": "tide_harmonic"
    },
    "epsilon_bounds": {
      "psnr_db": [
        10.0,
        45.0
      ]
    },
    "omega_bounds": {
      "N_constituents": [
        5,
        200
      ],
      "N_samples": [
        720,
        525600
      ],
      "SNR_dB": [
        10,
        60
      ],
      "nodal_error": [
        0.0,
        0.05
      ],
      "residual_surge": [
        0.0,
        0.3
      ],
      "shallow_water_error": [
        0.0,
        0.2
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "Harmonic tidal analysis from tide gauge",
  "title": "Tidal Analysis \u2014 harmonic tidal constituent extraction"
}

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