基于沃尔什函数的信号采样与恢复

Signal Sampling and Recovering Based on Function of Walsh

通过与傅立叶函数对比,引入了另一种完备正交归一化的函数-沃尔什函数。首先给出了沃尔什函数的基本概念、性质,然后阐述其产生原理及电路,最后运用了沃尔什级数进行信号的采样与恢复,并给出MATLAB仿真结果,同时给出了相应的电路模型。结果表明,沃尔什函数在矩形波信号的处理中具有明显的优越性。

By comparing to the function of Fourier, it is introduced for another perfect orthogonal and normalized function, which is Walsh. The basic conception and properties of Walsh function are provided firstly. Then the producing circuit is presented. Finally the application of sampling and recovering of signal based on the function of Walsh is related. Stimulation result with MATLAB is presented as well. At the same time, the correspond circuit models are drawn up. The conclusion shows that Walsh function has obvious advantages in processing of rectangle signal.