关键词: 盲信号分离, 非负矩阵分解, 乘性迭代, 交替最小二乘法, 投影梯度

Abstract: In blind signal separation process,the Non-negative Matrix Factorization(NMF) based on multiplicative iteration has the problem of large computation and slow decomposition speed.So a new blind signal separation algorithm for NMF based on projected gradient method is proposed.The problem is transformed into solving alternating least squares problem by adding the determinant constraint,sparse constraint and correlation constraint,by using the projected gradient method to solve blind signal separation problems.Simulation result shows that this algorithm can reduce reconstruction error,and ensure the separation of signal sparse in realization of mixed signal only on the basis of decomposition.Compared with the classical NMF algorithm and NMFDSC algorithm,it converges faster and decomposes more quickly,and the Signal Noise Ratio(SNR) of reconstructed signal is also higher.

Key words: blind signal separation, Non-negative Matrix Factorization(NMF), multiplicative iteration, Alternating Least-squares(ALS) method, projected gradient