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Optimal Frequency Offset Selection for FDA-MIMO Beampattern Design in the Range-Angle Plane

Jia, Wenkai LU ; Jakobsson, Andreas LU orcid and Wang, Wen Qin (2024) In IEEE Signal Processing Letters 31. p.316-320
Abstract

This work investigates the design of beampatterns for frequency diverse arrays-multiple-input multiple-output (FDA-MIMO) in the range-angle plane, in order to improve the approximation of a desired beampattern. Recognizing that the energy radiated by the array cannot be locked at a fixed range and angle, the beampattern is designed for the equivalent beampattern at the receiving end, differing from the traditional emphasis on the transmit beampattern. The proposed scheme formulates the beampattern design as a minimization problem, where the cost function is defined as the squared error between the designed and the given beampatterns. The developed scheme is then implemented through an optimal selection of both the FDA frequency offsets... (More)

This work investigates the design of beampatterns for frequency diverse arrays-multiple-input multiple-output (FDA-MIMO) in the range-angle plane, in order to improve the approximation of a desired beampattern. Recognizing that the energy radiated by the array cannot be locked at a fixed range and angle, the beampattern is designed for the equivalent beampattern at the receiving end, differing from the traditional emphasis on the transmit beampattern. The proposed scheme formulates the beampattern design as a minimization problem, where the cost function is defined as the squared error between the designed and the given beampatterns. The developed scheme is then implemented through an optimal selection of both the FDA frequency offsets and the receiver steering weights. To this end, an iterative algorithm with monotonic convergence is introduced to solve the resulting non-convex optimization problem involving a fourth-order polynomial objective function as well as multiple non-convex constraints. Numerical simulations verify the performance of the algorithm and show that the proposed scheme can efficiently concentrate the energy of the echo signal on the desired region in the range-angle plane.

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Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Beampattern design, FDA, frequency offset selection, iterative algorithm
in
IEEE Signal Processing Letters
volume
31
pages
5 pages
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • scopus:85181560480
ISSN
1070-9908
DOI
10.1109/LSP.2023.3348307
language
English
LU publication?
yes
id
2e61ca01-b0a5-434a-b36e-40ef9e30d084
date added to LUP
2025-01-15 14:50:07
date last changed
2025-12-04 18:27:15
@article{2e61ca01-b0a5-434a-b36e-40ef9e30d084,
  abstract     = {{<p>This work investigates the design of beampatterns for frequency diverse arrays-multiple-input multiple-output (FDA-MIMO) in the range-angle plane, in order to improve the approximation of a desired beampattern. Recognizing that the energy radiated by the array cannot be locked at a fixed range and angle, the beampattern is designed for the equivalent beampattern at the receiving end, differing from the traditional emphasis on the transmit beampattern. The proposed scheme formulates the beampattern design as a minimization problem, where the cost function is defined as the squared error between the designed and the given beampatterns. The developed scheme is then implemented through an optimal selection of both the FDA frequency offsets and the receiver steering weights. To this end, an iterative algorithm with monotonic convergence is introduced to solve the resulting non-convex optimization problem involving a fourth-order polynomial objective function as well as multiple non-convex constraints. Numerical simulations verify the performance of the algorithm and show that the proposed scheme can efficiently concentrate the energy of the echo signal on the desired region in the range-angle plane.</p>}},
  author       = {{Jia, Wenkai and Jakobsson, Andreas and Wang, Wen Qin}},
  issn         = {{1070-9908}},
  keywords     = {{Beampattern design; FDA; frequency offset selection; iterative algorithm}},
  language     = {{eng}},
  pages        = {{316--320}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  series       = {{IEEE Signal Processing Letters}},
  title        = {{Optimal Frequency Offset Selection for FDA-MIMO Beampattern Design in the Range-Angle Plane}},
  url          = {{http://dx.doi.org/10.1109/LSP.2023.3348307}},
  doi          = {{10.1109/LSP.2023.3348307}},
  volume       = {{31}},
  year         = {{2024}},
}