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.
Highlights
I N modern battlefields, the speed of an aircraft plays a crucial role in achieving combat superiority
Lv’s distribution (LVD) outperforms fractional Fourier transform (FrFT) on the detection of linear frequency modulation (LFM) signals, which results in superior detection performance by the coherent integration method Radon-Lv’s distribution (RLVD)
To demonstrate the detection performance of our proposed method, we compare our method against three state of the art detection methods, including RLVD, Radon-fractional Fourier transform (RFrFT), maximumminimum eigenvalue (MME) [41], [42], moving target detection (MTD) and Radon transform (RT)
Summary
I N modern battlefields, the speed of an aircraft plays a crucial role in achieving combat superiority. Keystone transform (KT) [12], [13] and its variants demonstrated better performance in dealing with ARU and DFM They still need certain prior information to handle Doppler ambiguity and these approaches are not effective for maneuvering targets and the detection of ultra high speed targets. LVD outperforms FrFT on the detection of LFM signals, which results in superior detection performance by the coherent integration method RLVD All of these algorithms need to define suitable motion parameters, which is time-consuming and inapplicable for real-time detection of ultra high speed targets.
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