{"paper":{"title":"ISAC with Affine Frequency Division Multiplexing: An FMCW-Based Signal Processing Perspective","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"A specific parameter selection makes AFDM subcarriers mathematically equivalent to Nyquist-sampled FMCW waveforms.","cross_cats":[],"primary_cat":"eess.SP","authors_text":"Cong Yi, Fan Liu, Haoran Yin, Huseyin Arslan, Jiajun Zhu, Yanqun Tang, Yuanhan Ni, Zhiqiang Wei","submitted_at":"2025-11-15T17:43:27Z","abstract_excerpt":"This paper investigates the sensing potential of affine frequency division multiplexing (AFDM) in high-mobility integrated sensing and communication (ISAC) from the perspective of radar waveforms. 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. Buildin"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"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.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"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.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"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.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"A specific parameter selection makes AFDM subcarriers mathematically equivalent to Nyquist-sampled FMCW waveforms.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"d221f53a8c19660039fd462d86fb2f9783969432f7cf3497454c6941eac603a9"},"source":{"id":"2511.12308","kind":"arxiv","version":3},"verdict":{"id":"63359678-4961-40c1-9ef5-b1828397711c","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-17T22:07:18.925026Z","strongest_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.","one_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.","pipeline_version":"pith-pipeline@v0.9.0","weakest_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.","pith_extraction_headline":"A specific parameter selection makes AFDM subcarriers mathematically equivalent to Nyquist-sampled FMCW waveforms."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2511.12308/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":2,"snapshot_sha256":"ff8af607dbcfc78ba456d10ec44856893ef1787554489ecec6d55b99a6adb8e8"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}