How the coefficients get updated in LMS adaptive algorithm ?

[makanaky]

Hi,

I need to implement adaptive filter with LMS coefficient update algorithm , I understand the LMS equation is as follows :

h(n+1)=h+muo*x*e

Where e is the error between the desired signal and the filter output, x is the filter input, h is the coefficient vector

My question is , how come the coefficients are updated to different values if they are initialized by same value (zeros for example )

The above equation suggests that all the coefficients will be updated to same value every time

Can somebody please explain this to me ?

Thanks a lot