Pith Number

pith:QCBB4URL

pith:2026:QCBB4URLVW2XOW3JHBNXJYQEBT

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CP-OFDM Achieves Lower Ranging CRB Than Frequency-Spread Waveforms in the Large-Sample Regime

Christos Masouros, Fan Liu, Jie Yang, Shi Jin, Ya-Feng Liu, Yifeng Xiong

CP-OFDM achieves a lower ranging CRB than frequency-spread waveforms when the number of symbols grows large.

arxiv:2605.14451 v1 · 2026-05-14 · cs.IT · eess.SP · math.IT

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Claims

C1strongest claim

When the number of transmitted symbols N grows large, CP-OFDM achieves a lower ranging CRB than any frequency-spread orthogonal waveform over the almost-sure event where the random FIM is invertible; this superiority extends to amplitude estimation and full joint delay-amplitude estimation.

C2weakest assumption

The analysis assumes that the random FIM remains invertible with probability approaching one as N grows, and that the constellations are sub-Gaussian; the perturbation analysis further relies on the specific structure of the frequency-domain power fluctuations induced by the data symbols.

C3one line summary

CP-OFDM attains the Jensen lower bound on ranging CRB and is asymptotically optimal among orthogonal waveforms for large random-symbol counts under PSK and sub-Gaussian constellations.

References

40 extracted · 40 resolved · 0 Pith anchors

[1] Integrated sensing and communications: Toward dual-func tional wire- less networks for 6G and beyond, 2022

[2] Enabling joint communication and radar sensing in mobile networks—a survey, 2022

[3] Integrated sensing and communication signals tow ard 5G-A and 6G: A survey, 2023

[4] Sensing with communication signals : From information theory to signal processing, 2026

[5] O rthogonal time frequency space modulation, 2017

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-17T23:39:06.893299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80821e522badb5775b69385b74e2040ccec0efa9b573ff75b4ac5572d659db6f

Aliases

arxiv: 2605.14451 · arxiv_version: 2605.14451v1 · doi: 10.48550/arxiv.2605.14451 · pith_short_12: QCBB4URLVW2X · pith_short_16: QCBB4URLVW2XOW3J · pith_short_8: QCBB4URL

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/QCBB4URLVW2XOW3JHBNXJYQEBT \
  | 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: 80821e522badb5775b69385b74e2040ccec0efa9b573ff75b4ac5572d659db6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "938fa4605e7eb1f3628cf4c01086944b892474811ded1ce9a592103ad1771321",
    "cross_cats_sorted": [
      "eess.SP",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2026-05-14T06:45:31Z",
    "title_canon_sha256": "ab9732ae32d94e69511f86fb0567e38b03558d54acd0b67d88d1edc7d56a0c2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.14451",
    "kind": "arxiv",
    "version": 1
  }
}