the Linear-Exponential(L.E) algorithm are presented that is bassed on the optimal gradient estimation of steepest descent method .This point out that in order to improve the LMS algorithm performance
the gradient are optimally estimated
or the error signal are nonlinearity processed
these methods are equipollent. The theoreticaloanalysis and computer simulation show the performance of L.E algorithm is better than the L. S algorithm performance that is presented by [1]. The computer simulation result shows that very good match with the theoretical analysis.