小波函数的电路合成方法

针对国内对小波的研究主要集中在算法和应用方面,小波的电路实现方法研究还鲜见的现状,提出了一种小波函数的电路实现方法。小波函数使用反曲型母小波模拟,电路由双极型晶体管、可控放大器和线性无源电子元件等组成。根据小波分解的多分辨率近似特性,有限能量多变量函数能使用这个模拟电路近似表示,结合实例,PSpice仿真实验表明,小波函数的电路合成方法是有效、可靠的。

Circuit Synthesis Method of a Wavelet Function

At present,the research about wavelet focuses on algorithm and application in domestic,and the papers on circuit implementation of wavelet are rare.This paper proposes an analog synthesis circuit of a wavelet function approximator using sigmoidal mother wavelet.The approximated circuit contains bipolar junction transistors,operational amplifiers and linear passive circuit elements.All finite energy multivariate function can be approximated using this analog circuit with the multi-resolution approximation property of the wavelet decomposition.PSpice simulation shows that this method is efficient and realizable.