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Statistical Analysis of 3D Ambiguity Functions for Random MIMO-OFDM Signals — arXiv:2610.12162

Source: arXiv (en)
Original: https://arxiv.org/abs/2610.12162
License (as archived): CC0-1.0
Archived: 2026-10-09T07:13:49.238Z
SHA-256 of the archived text: 2e730b5c1b3257d3aec3df390ed9de094eee7a8f7bd1cbdf59c94cabd9ca71b5
Stable URL of this page: https://metraipolis.com/documento/dc_5ce2b89fc683

How to cite

Statistical Analysis of 3D Ambiguity Functions for Random MIMO-OFDM Signals — arXiv:2610.12162 — arXiv (en), https://arxiv.org/abs/2610.12162 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_5ce2b89fc683 (Metraipolis archive dc_5ce2b89fc683, sha256 2e730b5c1b3257d3aec3df390ed9de094eee7a8f7bd1cbdf59c94cabd9ca71b5)

BibTeX

@misc{dc5ce2b89fc683,
  title = {Statistical Analysis of 3D Ambiguity Functions for Random MIMO-OFDM Signals — arXiv:2610.12162},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2610.12162},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_5ce2b89fc683; sha256 2e730b5c1b3257d3aec3df390ed9de094eee7a8f7bd1cbdf59c94cabd9ca71b5},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2610.12162. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Random communication symbols allow integrated sensing and communications (ISAC) systems to exploit payload signals for sensing, but the resulting matched-filter response varies with the transmitted data. Existing statistical analyses of sensing with random orthogonal frequency division multiplexing (OFDM) waveforms have largely focused on delay and Doppler, while the spatial dimension introduced by multi-input multi-output (MIMO) arrays and precoding has received much less attention. This paper develops a three-dimensional ambiguity function (3D-AF) for random MIMO-OFDM waveforms over delay, Doppler, and angle domains. For point-target sensing, we express the 3D-AF as a quadratic form of the random communication symbols, with a deterministic matrix that captures the delay and Doppler shifts, the transmit and receive array responses, and the precoders on different subcarriers. Based on this representation, we derive a closed-form expression for the expected squared 3D-AF and show explicitly how the constellation fourth-order moment (or kurtosis) affects the ambiguity sidelobes. The same characterization yields expected integrated sidelobe level (EISL) and expected sidelobe level (ESL) metrics over mixed delay-Doppler-angle search domains. The framework is further extended to coherent multi-symbol processing with slow-time Doppler, leading to the corresponding fast-slow time (FST) approximation. These results provide a statistical characterization of the sensing ambiguity induced by random MIMO-OFDM communication signals in delay, Doppler, and angle.

Tema degli esploratori: statistica e scienza dei dati (elenco arXiv eess.SP, nuovi lavori del giorno).
Categorie arXiv: Signal Processing (eess.SP).
Pagina del lavoro: https://arxiv.org/abs/2610.12162 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-09T07:07:57.938Z dalla pagina https://arxiv.org/list/eess.SP/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).