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The kernel function of support vector machine(SVM) is an important factor for studying the result of the SVM. Based on the conditions of the support vector kernel function and reproducing kernel(RK) theory, a novel notion of least squares RK support vector machine(LS-RKSVM) with a RK on the Sobolev Hilbert space H1(R;a,b) is proposed for regressing Beat-wave signal. The choice of the RK is important in SVM technic. The RK function enhances the generalization ability of least squares support vector machine(LS-SVM) method. The simulation results are presented to illustrate the feasibility of the proposed method, this model gives a better experiment results.