Pith Number

pith:4LFL6X5W

pith:2026:4LFL6X5WOEK2OL5CWESZ5E77CA

not attested not anchored not stored refs pending

Super-resolution Multi-signal Direction-of-Arrival Estimation by Hankel-structured Sensing and Decomposition

Dimitris A. Pados, Elizabeth S. Bentley, George Sklivanitis, Georgios I. Orfanidis

Hankel-structured sensing and decomposition yields super-resolution multi-signal direction-of-arrival estimates that are maximum-likelihood optimal under Gaussian or Laplace noise.

arxiv:2604.26793 v2 · 2026-04-29 · cs.LG · eess.SP

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\usepackage{pith}
\pithnumber{4LFL6X5WOEK2OL5CWESZ5E77CA}

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Record completeness

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3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

The resulting L2-norm estimator is shown to be maximum-likelihood optimal in white Gaussian noise. The L1-norm estimator is shown to be maximum-likelihood optimal in independent, identically distributed (i.i.d.) isotropic Laplace noise, offering broad robustness to impulsive interference and corrupted measurements commonly encountered in practice.

C2weakest assumption

The received data admits a Hankel structure that permits arbitrary-rank decomposition, and the noise exactly matches the assumed white Gaussian or i.i.d. isotropic Laplace distributions.

C3one line summary

A Hankel-structured sensing and arbitrary-rank decomposition approach yields maximum-likelihood optimal L2 and L1 estimators for multi-signal DoA that outperform recent methods in resolution probability and required SNR.

Receipt and verification

First computed	2026-05-20T00:05:45.607554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2cabf5fb67115a72fa2b1259e93ff101db0f6da10005aea666eaeca7410fac1

Aliases

arxiv: 2604.26793 · arxiv_version: 2604.26793v2 · doi: 10.48550/arxiv.2604.26793 · pith_short_12: 4LFL6X5WOEK2 · pith_short_16: 4LFL6X5WOEK2OL5C · pith_short_8: 4LFL6X5W

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4LFL6X5WOEK2OL5CWESZ5E77CA \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e2cabf5fb67115a72fa2b1259e93ff101db0f6da10005aea666eaeca7410fac1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6481478ef95c03234c661cce5c6a5a89879b62fe36f91c85415a0483e9457ecf",
    "cross_cats_sorted": [
      "eess.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-04-29T15:25:10Z",
    "title_canon_sha256": "93a0c1f68574e2ac8978a8e7b5f7148b6441b3d2c7cfe31a34e98e96ab14887e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.26793",
    "kind": "arxiv",
    "version": 2
  }
}