Design and implementation of Wavelet Transform using Adaptive Genetic Algorithms and Analog filters

Abstract

This paper presents a low power and low-voltage analog switched-current (SI) filters implementation of wavelet transform (WT) for real-time requirements in signal processing. First, an adaptive genetic algorithm (AGA) is used to calculate the transfer function of the filters, whose impulse response is the required wavelet base. This approach improves the approximation performance than the previous traditional approaches and allows for the circuit implementation of any other wavelet base. Next, the approximation wavelet function is implemented using SI filters based on the cascade structure with SI differentiators as main building blocks. The Gaussian wavelet is selected as an example to illustrate the design procedure. Simulations demonstrate that the proposed method implements WT is an excellent way. Index Terms - Wavelet transform, analog filters, analog implementation, switched-current differentiators, adaptive genetic algorithms.