本文考虑到数字信号幅值常常突变的特点,将沃尔什函数看成冲激函数序列和一个矩形脉冲的卷积,用拉氏变换法推导出同轴电缆的沃尔什波形响应;为数学上简便,约定了时延算子d和误差补函数算子e。在此基础上,用沃尔什级数展开法求出同轴电缆及同轴电缆——再生器组合关于沃尔什波形的k矩阵。推导出的解析式具有明确的物理意义。 In this paper, taking into account the characteristics of the sudden change of the digital signal amplitude, the Walsh function is regarded as the convolution of the impulse function sequence and a rectangular pulse. The Walsh wave response of the coaxial cable is deduced by Laplace transform. On the simple, agreed on the delay operator d and error complement function operator e. On this basis, Walsh series expansion method is used to find the k matrix of Coaxial cable and coaxial cable - regenerator combination about Walsh waveforms. The derived analytic has a clear physical meaning.