2014•Applied Mechanics and MaterialsOpen access

An Improved Variable Step Size LMS Algorithm Based on Sigmoid Function

Li Liu, Qiong Wang, Hong Ping Bai

Abstract

LMS (Least Mean Square) algorithm performance is analyzed. Then something has been done on SVSLMS that is an improved variable step size LMS algorithm based on sigmoid function. The improved algorithm has faster convergence rate, stronger channel tracking capability, better anti-noise performance and steady-state error performance compared with SVSLMS, for it makes parameters and change with channel characteristics. Theoretical analysis is the same as computer simulation results, which proves that the performance of the improved algorithm is superior to SVSLMS algorithm.

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Available abstract

Key concepts: Sigmoid function, Least mean squares filter, Algorithm, Variable (mathematics), Rate of convergence, Convergence (economics), Channel (broadcasting), Computer science