Pith Number

pith:CXXTWTCZ

pith:2026:CXXTWTCZTMLECGQEI35SX5ZNBK

not attested not anchored not stored refs resolved

Capacity Characterization and Formation Optimization for Multi-User MIMO Communications with UAV Swarm

Yong Zeng

Optimal UAV swarm placements let an M-antenna base station achieve both full spatial multiplexing gain M and full beamforming gain M at the same time.

arxiv:2605.14298 v1 · 2026-05-14 · cs.IT · math.IT

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Claims

C1strongest claim

When the base station is equipped with an M-element uniform linear array, the full spatial multiplexing gain and beamforming gain, both equal to M, can be achieved simultaneously.

C2weakest assumption

The closed-form derivations and optimization rely on ideal far-field array response vectors, perfect channel state information, and static or quasi-static UAV positions during transmission, without modeling channel estimation errors, Doppler effects from UAV motion, or non-ideal propagation.

C3one line summary

UAV swarm mobility enables simultaneous achievement of full spatial multiplexing gain M and beamforming gain M in MU-MIMO with ULA base stations, with optimized formations delivering near-optimal sum-capacity under practical constraints.

References

32 extracted · 32 resolved · 0 Pith anchors

[1] From single user to multiuser communications: Shifting the MIMO paradigm, 2007

[2] Noncooperative cellular wireless with unlimited numbers of base station antennas, 2010

[3] Energy and sp ectral efﬁciency of very large multiuser MIMO systems, 2013

[4] On limits of wireless commu nications in a fading environment when using multiple antennas, 1998

[5] Capacity of multi-antenna Gaussian channe ls, 1999

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-17T23:39:10.121166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15ef3b4c599b16411a0446fb2bf72d0aaf40edf517fc4ebd4ea197b8f7332b64

Aliases

arxiv: 2605.14298 · arxiv_version: 2605.14298v1 · doi: 10.48550/arxiv.2605.14298 · pith_short_12: CXXTWTCZTMLE · pith_short_16: CXXTWTCZTMLECGQE · pith_short_8: CXXTWTCZ

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/CXXTWTCZTMLECGQEI35SX5ZNBK \
  | 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: 15ef3b4c599b16411a0446fb2bf72d0aaf40edf517fc4ebd4ea197b8f7332b64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbf5363238a027fa27a54660c8d906819d5c6c95d9ba7d7c790ea5c35be8ff0a",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2026-05-14T03:01:28Z",
    "title_canon_sha256": "8aa71b5f48b0237282381af9e7e3bd9b058984f5e90533a88b9eda06f6c81604"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.14298",
    "kind": "arxiv",
    "version": 1
  }
}