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Hybrid Quantized Signal Detection with a Bandwidth-Constrained Distributed Radar System

Yang, Shixing ; Lai, Yangming ; Jakobsson, Andreas LU orcid and Yi, Wei (2023) In IEEE Transactions on Aerospace and Electronic Systems 59(6). p.7835-7850
Abstract

This paper addresses the hybrid quantized signal detection problem in a distributed radar system, where widely separated antennas transmit low-bit quantized data with varying quantization levels depending on the different bandwidth constraint for each channel to a fusion center. To enable a high detection performance with such hybrid quantized data, we formulate the generalized likelihood ratio, Rao, Wald, Gradient, and Durbin tests based on the derived likelihood functions, with the batch gradient descent algorithm (BGDA) being introduced to efficiently form an estimate of the unknown parameters. Furthermore, the theoretical distributions of all designed detectors are also presented, ensuring the constant false alarm rate property.... (More)

This paper addresses the hybrid quantized signal detection problem in a distributed radar system, where widely separated antennas transmit low-bit quantized data with varying quantization levels depending on the different bandwidth constraint for each channel to a fusion center. To enable a high detection performance with such hybrid quantized data, we formulate the generalized likelihood ratio, Rao, Wald, Gradient, and Durbin tests based on the derived likelihood functions, with the batch gradient descent algorithm (BGDA) being introduced to efficiently form an estimate of the unknown parameters. Furthermore, the theoretical distributions of all designed detectors are also presented, ensuring the constant false alarm rate property. Finally, the unimodality of the derived detection probability with respect to the quantization thresholds is proved, yielding the optimal quantizer to improve the detection performance, which may be efficiently solved using the BGDA. Numerical and experimental results demonstrate the performance of the detectors using the optimal quantizers, illustrating that 2-bit quantization can achieve excellent detection performance while significantly reducing the resulting data size.

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author
; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Detectors, Distributed databases, Distributed radar system, Durbin test, GLRT, Gradient test, hybrid quantized signal detection, Quantization (signal), Radar antennas, Radar cross-sections, Radar detection, Rao test, Sensors, Wald test
in
IEEE Transactions on Aerospace and Electronic Systems
volume
59
issue
6
pages
16 pages
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • scopus:85165259063
ISSN
0018-9251
DOI
10.1109/TAES.2023.3296344
language
English
LU publication?
yes
id
53b9b5a6-177f-43fa-b596-b64071d1ee59
date added to LUP
2023-10-03 11:48:43
date last changed
2024-01-09 15:46:02
@article{53b9b5a6-177f-43fa-b596-b64071d1ee59,
  abstract     = {{<p>This paper addresses the hybrid quantized signal detection problem in a distributed radar system, where widely separated antennas transmit low-bit quantized data with varying quantization levels depending on the different bandwidth constraint for each channel to a fusion center. To enable a high detection performance with such hybrid quantized data, we formulate the generalized likelihood ratio, Rao, Wald, Gradient, and Durbin tests based on the derived likelihood functions, with the batch gradient descent algorithm (BGDA) being introduced to efficiently form an estimate of the unknown parameters. Furthermore, the theoretical distributions of all designed detectors are also presented, ensuring the constant false alarm rate property. Finally, the unimodality of the derived detection probability with respect to the quantization thresholds is proved, yielding the optimal quantizer to improve the detection performance, which may be efficiently solved using the BGDA. Numerical and experimental results demonstrate the performance of the detectors using the optimal quantizers, illustrating that 2-bit quantization can achieve excellent detection performance while significantly reducing the resulting data size.</p>}},
  author       = {{Yang, Shixing and Lai, Yangming and Jakobsson, Andreas and Yi, Wei}},
  issn         = {{0018-9251}},
  keywords     = {{Detectors; Distributed databases; Distributed radar system; Durbin test; GLRT; Gradient test; hybrid quantized signal detection; Quantization (signal); Radar antennas; Radar cross-sections; Radar detection; Rao test; Sensors; Wald test}},
  language     = {{eng}},
  number       = {{6}},
  pages        = {{7835--7850}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  series       = {{IEEE Transactions on Aerospace and Electronic Systems}},
  title        = {{Hybrid Quantized Signal Detection with a Bandwidth-Constrained Distributed Radar System}},
  url          = {{http://dx.doi.org/10.1109/TAES.2023.3296344}},
  doi          = {{10.1109/TAES.2023.3296344}},
  volume       = {{59}},
  year         = {{2023}},
}