Estimation of source number using fourth-order cumulant in blind source separation
Jimin Ye · Journal of Xi'an Shiyou University · 2007
The estimation method of source number in blind source separation (BSS) is studied when the number of source signals is less than the number of observed signals.When there is not additive noise,an accurate estimation of source number can be given in probability 1.When there is additive noise,the estimation of source number can be obtained by constructing an appropriate fourth-order cumulant matrix,converting the estimation of source number into the estimation of the effective rank of the matrix and making the SVD decomposition of the matrix.Finally,the proposed estimation method is compared with available GDE estimation method by simulation,it is shown that when signal-noise ratio is greater than 5 dB,the former can estimate well the source number but the latter does not.