Study of Legendre Wavelets Neural Network Based on BP Neural Network

A Legendre wavelets neural network is constructed with Legendre wavelets based on BP neural network. Because of the piece wise expression and being polynomials features which Legendre wavelets defined on the interval [0,1) has, the Legendre wavelets neural network has the advantages of simple structure and high convergence rate. Trained by BP algorithm, a better approximate result is obtained by using Legendre wavelets neural network with six wavelet basis functions to approximate one function.