Analog Wavelet Optimization Design And Circuit Implementation Based On Hybrid Ant Colony Algorithm

Wavelet transform is an ideal tool for analyzing and processing non-stationary signals thanks to its multiresolution analysis characteristics.It is widely used in the field of signal processing.Usually,the WT is implemented using numerical computation on PC ordigital signal processor.However,it has a large amount of computation and is difficult to meet the real-time requirements.At the same time,it needs A / D conversion,resulting in high power consumption and large volume.In order to meet the requirements of low power consumption,low voltage and real-time application,it is of great significance to study the implementation of wavelet transform in analog circuits.This dissertation mainly has conducted the research about the implementation of simulated wavelet based on hybrid ant colony algorithm.The primary task is to approximate the wavelet function with rational function.Some existing wavelet approximation methods have non-ideal approximation error and less stability of the system.So the approximation method of wavelet,based on hybrid ant colony optimization algorithm,was proposed.Firstly,The mathematical model with constraint conditions was constructed in the procedure of wavelet approximation by the least mean square error criterion.Secondly,The hybrid ant colony algorithm was utilized to solve the constructed optimization model.The results of simulation indicate that the approximation method of wavelet functions based on hybrid ant colony optimization has better approximation effect and exhibit superior performance.Aiming at the realization of the analog circuit of wavelet transform,a new way to design analog wavelet based on MOCCC? and OTA has been proposed.Taking Gaussian wavelet as an example,the implementation process and circuit structure has been given,including four OTAs and a MOCCC?.The theoretical analysis and simulation results show that the method of using this kind of current-mode circuit to realize continuous wavelet transform is feasible.Compared with the same current,the design and structure of the circuit are simple,the passive elements in the circuit are all grounded and easy to integrate.It is suitable for practical application requirements.