连续小波变换的对数模拟滤波器实现

提出了基于对数技术的连续小波变换的模拟滤波器实现方法,通过迭代和函数逼近理论可获得无显式表达式的小波函数的冲激响应。小波变换的滤波器实现电路由冲激响应为小波函数的滤波器组构成,Padé逼近是一种有效的有理逼近,小波函数经Padé逼近后可得到其有理分式逼近,有助于滤波器设计。通过优化滤波器组的状态空间模型确保了电路具有大的动态范围,有利于低压低功耗运用。仿真结果证实了其可行性。

Realization of log analog filter of continuous wavelet transform

A new method is presented using analog filters to implement the wavelet transform based on log circuits. First, the impulse response of wavelet without explicit expression can be gotten by iterative technique and function approximation theory. Next, the Pade approximation is used to calculate the transfer function of the filter, whose impulse response is the required wavelet. The Pade approximation can decompose the transform function into rational form so as to be conveniently implemented by filter synthesis. For low-power low-voltage applications, the state-space mode of the filter is optimized for dynamic range requirements. The simulations demonstrate that the method implements the required wavelet transfer in an excellent way.