Pith Number

pith:YADMRX74

pith:2025:YADMRX74QWVNDPFBZ2WEXZIKL2

not attested not anchored not stored refs pending

ISAC with Affine Frequency Division Multiplexing: An FMCW-Based Signal Processing Perspective

Cong Yi, Fan Liu, Haoran Yin, Huseyin Arslan, Jiajun Zhu, Yanqun Tang, Yuanhan Ni, Zhiqiang Wei

A specific parameter selection makes AFDM subcarriers mathematically equivalent to Nyquist-sampled FMCW waveforms.

arxiv:2511.12308 v3 · 2025-11-15 · eess.SP

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Claims

C1strongest claim

We introduce an innovative parameter selection criterion that establishes a precise mathematical equivalence between AFDM subcarriers and Nyquist-sampled frequency-modulated continuous-wave (FMCW). This connection not only provides a clear physical insight into AFDM's sensing mechanism but also enables a direct mapping from the DAFT index to delay-Doppler (DD) parameters of wireless channels.

C2weakest assumption

The parameter selection criterion produces exact equivalence only under the assumption that the wireless channel exhibits the specific DD coupling arising from chirp-channel interaction and that the high-mobility regime allows the DAFT-domain representation to hold without additional distortions not modeled in the paper.

C3one line summary

AFDM is made equivalent to FMCW radar through parameter choice, yielding a DD-DAFT input-output model and two pilot-free matched-filter sensing algorithms that trade sensing accuracy against communication overhead and complexity.

Formal links

2 machine-checked theorem links

Cited by

1 paper in Pith

Towards Standardizing Affine Frequency Division Multiplexing (AFDM) for Future Wireless Networks

Receipt and verification

First computed	2026-06-30T01:17:29.534795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c006c8dffc85aad1bca1ceac4be50a5e954ec2a76e753553a89c7c2b9bea1998

Aliases

arxiv: 2511.12308 · arxiv_version: 2511.12308v3 · doi: 10.48550/arxiv.2511.12308 · pith_short_12: YADMRX74QWVN · pith_short_16: YADMRX74QWVNDPFB · pith_short_8: YADMRX74

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/YADMRX74QWVNDPFBZ2WEXZIKL2 \
  | 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: c006c8dffc85aad1bca1ceac4be50a5e954ec2a76e753553a89c7c2b9bea1998

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23d8f8dce6aa13529f4f6c142b862f7533038ee3ad5cb76d4db8e7bb4d4903bd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "eess.SP",
    "submitted_at": "2025-11-15T17:43:27Z",
    "title_canon_sha256": "47c972b35c09df69752cfb454ea998e7cb090a8609cbc0de0130f6944cfbdaf5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.12308",
    "kind": "arxiv",
    "version": 3
  }
}