Multidimensional polynomial phase estimation

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• dc.contributor.author Do, Heedong
• dc.contributor.author Lee, Namyoon
• dc.contributor.author Lozano Solsona, Angel
• dc.date.accessioned 2025-09-09T06:35:17Z
• dc.date.available 2025-09-09T06:35:17Z
• dc.date.issued 2025
• dc.description.abstract An estimation method is presented for polynomial phase signals, i.e., those adopting the form of a complex exponential whose phase is polynomial in its indices. Transcending the scope of existing techniques, the proposed estimator can handle an arbitrary number of dimensions and an arbitrary set of polynomial degrees along each dimension; the only requirement is that the number of observations per dimension exceeds the highest degree thereon. Embodied by a highly compact sequential algorithm, this estimator is efficient at high signal-to-noise ratios (SNRs), exhibiting a computational complexity that is strictly linear in the number of observations and at most quadratic in the number of polynomial terms. To reinforce the performance at low and medium SNRs, where any phase estimator is bound to be hampered by the inherent ambiguity caused by phase wrappings, suitable functionalities are incorporated and shown to be highly effective.en
• dc.description.sponsorship The work of Heedong Do and Namyoon Lee was supported by the National Research Foundation of Korea (NRF) under Grant RS-2023-00208552 and Grant RS-2022-NR070834, funded by the Korea government (MSIT). The work of Angel Lozano was supported in part by the Maria de Maeztu Units of Excellence Programme under Grant CEX2021-001195-M and in part by ICREA.en
• dc.format.mimetype application/pdf
• dc.identifier.citation Do H, Lee N, Lozano A. Multidimensional polynomial phase estimation. IEEE Open J Signal Process. 2025;6:651-81. DOI: 10.1109/OJSP.2025.3577503
• dc.identifier.doi http://dx.doi.org/10.1109/OJSP.2025.3577503
• dc.identifier.issn 2644-1322
• dc.identifier.uri http://hdl.handle.net/10230/71167
• dc.language.iso eng
• dc.publisher Institute of Electrical and Electronics Engineers (IEEE)
• dc.relation.ispartof IEEE Open Journal of Signal Processing. 2025;6:651-81
• dc.relation.projectID info:eu-repo/grantAgreement/ES/2PE/CEX2021-001195-M
• dc.rights CCBY - IEEE is not the copyright holder of this material. Please follow the instructions via https://creativecommons.org/licenses/by/4.0/ to obtain full-text articles and stipulations in the API documentation.
• dc.rights.accessRights info:eu-repo/semantics/openAccess
• dc.rights.uri http://creativecommons.org/licenses/by/4.0/
• dc.subject.keyword Polynomial phase signalen
• dc.subject.keyword Estimation theoryen
• dc.subject.keyword Cramer-Rao bounden
• dc.subject.keyword Minimum mean-square erroren
• dc.subject.keyword Phase wrappingen
• dc.subject.keyword Phase ambiguityen
• dc.subject.keyword Signal reconstructionen
• dc.subject.keyword Circular averagingen
• dc.title Multidimensional polynomial phase estimationen
• dc.type info:eu-repo/semantics/article
• dc.type.version info:eu-repo/semantics/publishedVersion