Pith Number

pith:YROCKBVN

pith:2026:YROCKBVN5BIWPQV6KULPMYWDAF

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Analysis of Fluid Antenna Systems with Continuous Positioning and Spatial Correlation

Gayani Siriwardana, Himal A. Suraweera, Peter J. Smith, Rajitha Senanayake

A level-crossing-rate framework supplies asymptotically exact approximations and tight bounds for the CDF of the supremum performance metric in fluid antenna systems with continuous positioning under spatial correlation.

arxiv:2605.16920 v1 · 2026-05-16 · eess.SP

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Claims

C1strongest claim

We develop a level-crossing-rate (LCR) framework that yields asymptotically exact approximations and tight bounds for the cumulative distribution function (cdf) of the optimized metric S* = sup_{0 <= l <= L} S(l).

C2weakest assumption

The spatial correlation model renders exact performance distributions analytically intractable, so that the LCR framework supplies asymptotically exact approximations and tight bounds for the CDF of the supremum metric, including the case where array-element correlation and positional correlation are inherently coupled.

C3one line summary

Develops an LCR framework yielding asymptotically exact approximations and bounds for the CDF of the supremum performance metric S* over continuous positions in fluid antenna systems with spatial correlation, including multi-antenna cases with coupled correlations, validated by Monte Carlo.

References

45 extracted · 45 resolved · 0 Pith anchors

[1] Prospective multiple antenna technologies for beyond 5G, 2020

[2] Increasing capacity in wireless broadcast systems using distributed transmission/directional reception (DTDR), 1994

[3] Massive MIMO for next generation wireless systems, 2014

[4] A tutorial on fluid antenna system for 6G networks: Encompassing communication theory, optimization methods and hardware designs, 2024

[5] Multifunctional reconfigurable MEMS integrated antennas for adaptive MIMO systems, 2004

Formal links

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Receipt and verification

First computed	2026-05-20T00:03:30.507284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c45c2506ade85167c2be5516f662c30155dfd3135be311090b56fdfa4c90f5ad

Aliases

arxiv: 2605.16920 · arxiv_version: 2605.16920v1 · doi: 10.48550/arxiv.2605.16920 · pith_short_12: YROCKBVN5BIW · pith_short_16: YROCKBVN5BIWPQV6 · pith_short_8: YROCKBVN

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/YROCKBVN5BIWPQV6KULPMYWDAF \
  | 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: c45c2506ade85167c2be5516f662c30155dfd3135be311090b56fdfa4c90f5ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7487e6c26c41c3743e9c2d92e9a18269671f253f5f36d2ad634c374b606465d0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "eess.SP",
    "submitted_at": "2026-05-16T10:26:23Z",
    "title_canon_sha256": "3b4d708e52e5df80eb52d953401db1d2631818e9f033d9dee3ad342c38d0ff04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.16920",
    "kind": "arxiv",
    "version": 1
  }
}