Renewal of LMS algorithm and its application in measurement

LMS algorithm is one of key algorithm in signal detection and processing. Though many researches have been done on it, there still exist work to do. There is a epsilon - curve surface in LMS algorithm. This curve surface is protruding downward. According to this property, a new method estimating the minimum point of the epsilon - curve surface has been proposed in this paper. In continuous iteration steps, the descendant direction of the objective function is calculated with steepest descendant method. Then a parabola is determined through fitting algorithm. The coefficients of the curved surface are got using the minimum square error method. The minimum point of the paraboloid is then the minimum estimation of objective function through analysis method. The new method has been used in signal detection. and processing the pressure variation inside a gas pipe, the calculation efficiency and the accuracy of the new method are satisfactory.