Meng, Lingsheng and Guan, Yong Liang and Ge, Yao and Liu, Zilong (2025) Flag Sequence Set Design for Low-Complexity Delay-Doppler Estimation. IEEE Transactions on Vehicular Technology. pp. 1-17. DOI https://doi.org/10.1109/tvt.2025.3550258 (In Press)
Meng, Lingsheng and Guan, Yong Liang and Ge, Yao and Liu, Zilong (2025) Flag Sequence Set Design for Low-Complexity Delay-Doppler Estimation. IEEE Transactions on Vehicular Technology. pp. 1-17. DOI https://doi.org/10.1109/tvt.2025.3550258 (In Press)
Meng, Lingsheng and Guan, Yong Liang and Ge, Yao and Liu, Zilong (2025) Flag Sequence Set Design for Low-Complexity Delay-Doppler Estimation. IEEE Transactions on Vehicular Technology. pp. 1-17. DOI https://doi.org/10.1109/tvt.2025.3550258 (In Press)
Abstract
This paper studies Flag sequences for lowcomplexity delay-Doppler estimation by exploiting their distinctive peak-curtain ambiguity functions (AFs). Unlike the existing Flag sequence designs that are limited to prime lengths and periodic auto-AFs, we aim to design Flag sequence sets of arbitrary lengths with low (nontrivial) periodic/aperiodic auto- and cross- AFs. Since every Flag sequence consists of a Curtain sequence and a Peak sequence, we first investigate the algebraic design of Curtain sequence sets of arbitrary lengths. Our proposed design gives rise to novel Curtain sequence sets with ideal curtain auto-AFs and zero/near-zero cross-AFs within the delay- Doppler zone of operation. Leveraging these Curtain sequence sets, two optimization problems are formulated to minimize the weighted integrated masked sidelobe level (WImSL) of the Flag sequence set. Accelerated parallel partially majorizationminimization algorithms are proposed to jointly optimize the transmit Flag sequences and symmetric/asymmetric reference sequences stored in the receiver. Simulations demonstrate that our proposed Flag sequences lead to improved WImSL and peak-to-max-masked-sidelobe ratio compared with the existing Flag sequences. Additionally, our Flag sequences under the Flag method exhibit Mean Squared Errors that approach the Cramér- Rao lower bound and the sampling bound at high signal-to-noise power ratios.
Item Type: | Article |
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Uncontrolled Keywords: | Ambiguity function, delay-Doppler estimation, Flag sequence, radar, sequence design |
Divisions: | Faculty of Science and Health Faculty of Science and Health > Computer Science and Electronic Engineering, School of |
SWORD Depositor: | Unnamed user with email elements@essex.ac.uk |
Depositing User: | Unnamed user with email elements@essex.ac.uk |
Date Deposited: | 13 Mar 2025 11:00 |
Last Modified: | 20 Mar 2025 08:44 |
URI: | http://repository.essex.ac.uk/id/eprint/40517 |
Available files
Filename: NOACKBIO_Flag_Sequence_Set_Design_for_Low_Complexity_Delay_Doppler_Estimation.pdf