In view of the problem of low Signal Integrity Degree(SID)using the general method to construct the reconstructed matrix in the process of noise reduction in singular value decomposition, a new method is proposed by using cyclic matrix to construct the reconstructed matrix.The method can preserve the characteristics of the original signal information when constructing the reconstructed matrix by using the cyclic matrix.Then, the singular values of the cyclic matrix are decomposed, and the effective reconstruction order of the matrix is determined.Therefore, the purpose of noise reduction is achieved.Simulation results show that the proposed method has higher noise reduction accuracy and noise immunity than other methods, and the new method improves the practicability of the algorithm.