Pith Number

pith:TTELO3PW

pith:2025:TTELO3PWHTRXJGCJYJJNMCMHPP

not attested not anchored not stored refs pending

Performance Bounds for Near-Field Velocity Estimation With Modular Linear Array

Ali. A. Nasir, Khalid A. Alshumayri, Mudassir Masood

Modular linear arrays achieve equivalent near-field velocity estimation accuracy to collocated uniform linear arrays using fewer antennas through optimized inter-module spacing.

arxiv:2511.06383 v4 · 2025-11-09 · eess.SP

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Claims

C1strongest claim

We obtain closed-form expressions that characterize the interplay between array geometry and estimation accuracy, showing that increasing the inter-module separation enlarges the effective aperture and reduces the transverse-velocity CRB, while the radial-velocity CRB remains largely insensitive to this separation. Furthermore, we show that an MLA can achieve the same accuracy as a collocated ULA with fewer antennas.

C2weakest assumption

The derivation relies on a standard near-field signal model, known array geometry, and additive white Gaussian noise that permits closed-form CRB expressions; these may not capture all real-world propagation or hardware effects.

C3one line summary

Derives CRBs showing modular linear arrays reduce transverse-velocity error via larger effective aperture from inter-module spacing and match uniform-array accuracy with fewer elements.

Formal links

1 machine-checked theorem link

Receipt and verification

First computed	2026-05-20T00:02:58.207880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cc8b76df63ce3749849c252d609877be5dbdbf0565862e199093a849845c0dc

Aliases

arxiv: 2511.06383 · arxiv_version: 2511.06383v4 · doi: 10.48550/arxiv.2511.06383 · pith_short_12: TTELO3PWHTRX · pith_short_16: TTELO3PWHTRXJGCJ · pith_short_8: TTELO3PW

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TTELO3PWHTRXJGCJYJJNMCMHPP \
  | 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: 9cc8b76df63ce3749849c252d609877be5dbdbf0565862e199093a849845c0dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24f5a14f3414b60ed621d2782308612a58c8ac46908ade316cb5b03dd2b6a2b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "eess.SP",
    "submitted_at": "2025-11-09T13:40:46Z",
    "title_canon_sha256": "862de55593da1d9c4a4d5220eebb8eaf9efccbecb8ea1628accc2f99131c223b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.06383",
    "kind": "arxiv",
    "version": 4
  }
}