Legendre Wavelets Neural Network

Based on BP neural network,a Legendre wavelets neural network is constructed with Legendre wavelets. The Legendre wavelets defined on the interval s the features of piecewise expression and being polynomials,so the Legendre wavelets neural network has the advantange of simple structure and fast convengence speed.Trained by BP algorithm,the Legendre wavelets neural network with six wavelet basis functions is used to learn a function and better approximate result is obtained.