One-dimension range profile optimal orthogonal nolinear subspace identification method for radar targets
A radar target and recognition method technology, applied to radio wave measurement systems, instruments, etc., to achieve the effect of improving recognition performance and reducing redundant information
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[0026] Specific embodiments of the present invention will be described below in conjunction with the accompanying drawings.
[0027] Optimal Orthogonal Nonlinear Subspace
[0028] Let n-dimensional column vector x ij (i=1,2,...,g; j=1,2,...,N i ) is the j-th one-dimensional range profile of the i-th target, where g is the number of target categories, N i is the number of training samples for the i-th type of target.
[0029] Nonlinear transformation of 1D range image
[0030] the y ij =φ(xi j ) (1)
[0031] Where φ(·) is a nonlinear mapping function. The above formula maps the one-dimensional range image to the high-dimensional feature space, y ij for x ij For the image corresponding to the high-dimensional feature space, its dimension is set to n', which can be arbitrarily large or infinite.
[0032] In a high-dimensional feature space, the inter-class scatter matrix B S and the intra-class scatter matrix W S respectively
[0033] B ...
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