# Short-Time Velocity Identification and Coherent-Like Detection of Ultrahigh Speed Targets

Chen, J., Wang, F., Zhou, J., Li, L., Crookes, D., Zhou, H. (2018) Short-Time Velocity Identification and Coherent-Like Detection of Ultrahigh Speed Targets. IEEE Transactions on Signal Processing, 66 (18). pp. 4811-4825. ISSN 1053-587X. (doi:10.1109/TSP.2018.2862407) (KAR id:69760)

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## Abstract

Finding a balance between observation duration and detection rates is the ultimate goal of the detection of ultrahigh speed targets. However, short observation durations, both across range unit, and Doppler frequency migration, may severely limit the detection performance of ultrahigh speed targets. Although, traditional coherent integration methods can efficiently accumulate signal energy to produce a high signal-to-noise-ratio measurement, they often need to search for unknown motion parameters. This search is time consuming and unacceptable for the real-time detection of ultrahigh speed targets. In this paper, a coherent-like detection method is designed based on the finite-dimension theory of Wigner matrices along with velocity identification. The proposed method can efficiently integrate signal energy without rendering motion parameters. We use the distribution and mean of the eigenvalues of the constructed matrix, i.e., an additive Wigner matrix, to identify velocities and detect ultrahigh speed targets, respectively. Simulation results validate the theoretical derivation, superiority and operability of the proposed method.

Item Type: Article 10.1109/TSP.2018.2862407 eigenvalues and eigenfunctions;image motion analysis;matrix algebra;object detection;Wigner distribution;additive Wigner matrix;constructed matrix eigenvalues;finite-dimension theory;signal-to-noise-ratio measurement;Doppler frequency migration;coherent integration methods;ultrahigh speed target detection;short-time velocity identification;coherent-like detection;signal energy;real-time detection;Doppler effect;Aircraft;Signal to noise ratio;Radar detection;Fourier transforms;Ultrahigh speed target;Wigner matrix;velocity identification;coherent integration;short observation time Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Computing Caroline Li 23 Oct 2018 18:29 UTC 16 Feb 2021 13:58 UTC https://kar.kent.ac.uk/id/eprint/69760 (The current URI for this page, for reference purposes) https://orcid.org/0000-0002-4026-0216