关键词: 奇异值分解, 独立/ 相干, Hankel 矩阵, 阵列, 信源数目估计

Abstract: The exsisting enumeration methods or the subsequent modifications can not adapt well to signals of different properties. A SVD based (Singular Value Decomposition based) enumeration method of Hankel matrix of the spatial correlations of sensor outputs is proposed for the ULA (Uniform Linear Array). Utilizing the general form of Hankel matrix of sensor array with the exclusion of the term of the unknown noise variance from the correlations of sensor outputs, the proposed method can estimate the number of sources whether or not source signals are independent and enumeration capability is up to half of sensor number. The simulation results show that distribution pattern of the PCEs (Probabilities of Correct Enumeration) is invariable and the proposed method has more steady enumeration performance and wider threshold scope by comparison with that based on the spatial smoothing scheme.

Key words: singular value decomposition(SVD), arrays, source enumeration, independent/coherent, Hankel matrix