Detection method for unknown targets based on the extremum fluctuation feature of subspace spatial spectrums

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Journal of Vibration and Shock ›› 2018, Vol. 37 ›› Issue (18) : 209-215.

CHEN Jianjun1 ,ZHENG Enming2, CHEN Xinhua2

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Abstract

Under the same frequency unit, according to the different contribution of different target radiated signals to each subspace, a weighted detection method based on the extremum fluctuation feature of subspace spatial spectrums was proposed for the sake of detecting unknown unequal strength targets.In the method, an eigen decomposition was made on the covariance matrix of received data of a linear array to get the sub-covariance matrix of each subspace.The spatial spectrums were obtained by performing the beam-forming on each submatrix, and the extremum fluctuation differences between subspace spatial spectrums were atilized to determine the weight values.Then, with the weight values, the normalized spatial spectrum of each subspace was processed statistically and thus to form the final spatial spectrums, in which the proportion of the weak target subspace was increased.The theoretical analysis, numerical simulation and experimental results show that, the method can further restrain the spatial spectrum disturbances by noise subspaces, enhance the proportion of weak target subspace in the spatial spectrum, make the proportion increase from σ2_s,w/(σ2_s,all+σ2_n/N) to nearly 1/L, where N is the number of array elements, L is the number of targets, σ2_s,w is the energy of weak target, σ2_s,all is the energy of all the targets, σ2_n is the energy of background noise, decrease the spatial spectrum difference between different target subspaces from σ2_s,s/σ2_s,w to nearly 1, where σ2_s,s is the energy of strong target, improve the detection performance of conventional beam-forming for unknown unequal strength targets under the same frequency unit, and effectively detect unknown unequal strength targets in the same beam diagram.

Key words

Target detection / Same frequency unit / Eigen decomposition / Subspace / Extremum fluctuation feature

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CHEN Jianjun1,ZHENG Enming2, CHEN Xinhua2. Detection method for unknown targets based on the extremum fluctuation feature of subspace spatial spectrums[J]. Journal of Vibration and Shock, 2018, 37(18): 209-215

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