Pith Number

pith:PTY6ML4B

pith:2026:PTY6ML4BSK5G3MZZ5LI7BUFF62

not attested not anchored not stored refs resolved

FMCW Lidar Beyond Nyquist by Instantaneous Frequency Fitting

Alfred Krister Ulvog, Joshua Rapp, Vivek K Goyal

Instantaneous frequency fitting recovers FMCW lidar distance and velocity beyond the Nyquist sampling limit by processing the full aliased waveform.

arxiv:2605.14039 v1 · 2026-05-13 · eess.SP

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Claims

C1strongest claim

The instantaneous frequency fitting approach can recover larger ranges of distance and velocity by considering the full waveform despite aliasing in the frequency domain, and is more robust to phase noise than matched filtering.

C2weakest assumption

That the assumed signal model (including phase noise statistics) remains accurate enough for parameter fitting when the beat frequency aliases, and that simulation conditions represent real hardware impairments.

C3one line summary

Matched filtering and instantaneous frequency fitting recover FMCW lidar ranges beyond the Nyquist limit from the full waveform despite frequency-domain aliasing, with fitting more robust to phase noise.

References

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[1] Precision time domain reflectometry in optical fiber systems using a frequency modulated continuous wave ranging technique, 1985

[2] Interferometer for measuring displacement and distance, 1987

[3] Lidar for autonomous driving: the principles, challenges, and trends for automotive lidar and perception systems, 2020

[4] Automotive LiDAR technology: a survey, 2022

[5] Lidar system architectures and circuits, 2017

Formal links

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Receipt and verification

First computed	2026-05-17T23:39:12.761734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cf1e62f8192ba6db339ead1f0d0a5f6964b2a225b772137a9e5a231b225fc23

Aliases

arxiv: 2605.14039 · arxiv_version: 2605.14039v1 · doi: 10.48550/arxiv.2605.14039 · pith_short_12: PTY6ML4BSK5G · pith_short_16: PTY6ML4BSK5G3MZZ · pith_short_8: PTY6ML4B

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PTY6ML4BSK5G3MZZ5LI7BUFF62 \
  | 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: 7cf1e62f8192ba6db339ead1f0d0a5f6964b2a225b772137a9e5a231b225fc23

Canonical record JSON

{
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    "abstract_canon_sha256": "87370188bb61876b40f77d44c6d49abe8fd9b7256cf6a50ffee15287c9785e11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "eess.SP",
    "submitted_at": "2026-05-13T19:00:34Z",
    "title_canon_sha256": "d5300d68e4f813d31582ecfb57d540733b7ca67e557a4081ab642d1d790dbfa9"
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