Evolutionay Wavelet Networks for Statistical Time Series Analysis

In this paper I describe an evolutionary wavelet network to optimize the filtering of a statistical time series into separate contributions. The wavelet base is regarded as a neural network where the network nodes are discrete wavelet transforms, the wavelon, and the network structure and parameters are selected through evolutionary techniques. With this combined approach I can separate stochastic from structural components within an optimized framework and finally I can perform optimized predictive analysis on the time series components. Key-words: Statistical Time Series, Evolutionary Algorithms, Signal Processing, Wavelet, Filtering, Stochastic Decomposition, Wavelet Networks