A Locally Optimal Subspace Recognition Method for One-Dimensional Range Profiles of Radar Targets

The invention provides a radar target one-dimensional range profile local optimal sub-space recognition method which effectively improves the performance of recognizing a radar target. According to the method, firstly, a nearest intra-class distance scattering matrix and a nearest between-class distance scattering matrix are calculated through training data; then, a local optimal sub-space is set up according to an optimal ratio criteria, the characteristics of the target are extracted, and the characteristics are classified through a minimum distance classifier; finally, the classification where the input target belongs is determined. The method specifically includes the steps of determining a vector X<W>ij and a vector Xij through a radar target one-dimensional range profile training vector Xij; determining a vector d<W>ij and a vector dij; determining a matrix DW and a matrix DB; determining m vectors a1, a2...and am of the local optimal sub-space; determining the equation (please see the equation in the specification) of the local optimal sub-space according to lambdai and a vector ai, wherein i is 1 or 2 or 3...or m; determining a template library according to the projection of the training vectors in the sub-space A; determining the local optimal sub-image of an input target one-dimensional range profile Xt; determining the distance between the local optimal sub-image and a library template vector, and determining the classification where the input target range profile belongs through the minimum distance classifier.