# 📐  L2 Spec — DoA Estimation Calibration-Mismatch Spec (ULA family)

**ID:** `L2-387-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-387`](/artifact/l1/L1-387)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.55 · **Delta tier:** 5
> **⛓ On-chain block:** 41555200

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| K | — | 1 – 32 |
| L | — | 4 – 128 |
| T | — | 1 – 10000 |
| Snr db | dB | -10 – 40 |
| Correlation | — | 0.0 – 1.0 |
| D over lambda | — | 0.25 – 2.0 |
| Calib gain err | — | 0.0 – 0.2 |
| Calib phase err deg | deg | 0.0 – 15 |
| Position err lambda | — | 0.0 – 0.05 |

## 2. Tolerance (ε)

**Type:** `fn`

```
0.1 + 0.5 / sqrt(T * 10**(SNR_dB/10) * L) + 5.0 * calib_phase_err_deg / 15
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.55 |
| Delta tier | 5 |

## 4. Fingerprint

`2a9b320a7f8585ba965d94705594e9e949c5c1d821efa77a07b61228e04a3bc4`

## 5. On-chain Registration

- **Chain hash:** `0xc0436501c4e2fd131a7af4d3e057b0972fd6501df9047f6012cc0d391bb7219a`
- **Chain tx hash:** `0xb8f7eb51a574c181851be6e279d3b0602f1987cc6edba2f57cb66332349a78bf`
- **Chain block:** `41555200`

---

## File Mapping

This bundle consists of: `L2-387-001.md`, `L2-387-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-387-001.md` | Source of truth — edit this | Human or LLM |
| `L2-387-001.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 `L2-387-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._