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Frequency Increment Optimization With FDA-MIMO Radar for Target Localization

  • Lan Lan*
  • , Kunkun Li
  • , Jingwei Xu
  • , Guisheng Liao
  • , Hing Cheung So
  • *Corresponding author for this work

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

Abstract

This letter presents an optimization approach for frequency increments tailored to Frequency Diverse Array (FDA)-Multiple-Input Multiple-Output (MIMO) radar for target localization. We start to formulate the problem as minimizing the Cramér-Rao Bounds (CRBs) for both range and angle estimation, subject to practical constraints on the frequency increments. To facilitate optimization, the objective function is mathematically transformed, which results in a maximization problem, leveraging its inherent non-negativity of both the numerator and denominator. To address the resultant non-convex and NP-hard optimization problem, a Minorization-Maximization (MM)-Maximum Block Improvement (MBI) algorithm is devised by partitioning the frequency increment vector into distinct blocks, allowing for alternating maximization. In particular, each frequency increment is refined with the MM algorithm, while holding the others fixed, and only the block yielding the maximum objective increment is updated within each iteration. Simulation results are provided to demonstrate the excellent target localization of our proposed approach. © 2025 IEEE.
Original languageEnglish
Pages (from-to)2529-2533
Number of pages5
JournalIEEE Signal Processing Letters
Volume32
Online published16 Jun 2025
DOIs
Publication statusPublished - 2025

Funding

This work was supported in part by the National Nature Science Foundation of China under Grant 62471348, Grant 62101402, and Grant 61931016; in part by the Fundamental Research Funds for the Central Universities under Grant QTZX23068; in part by the Young Science and Technology Star of Shaanxi Province under Grant 2024ZC-KJXX-009; and in part by the Research Grant of Shenzhen Research Institute, City University of Hong Kong, Shenzhen, China, under Project R-IND25501.

Research Keywords

  • Frequency modulation
  • Optimization
  • Vectors
  • Radar
  • Location awareness
  • Linear programming
  • Signal to noise ratio
  • Frequency diversity
  • Signal processing algorithms
  • Transceivers
  • FDA-MIMO radar
  • frequency increment optimization
  • CRBs of range and angle
  • MM-MBI

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