布尔函数线性Walsh谱和高阶Walsh谱的研究对构造能够抵抗线性逼近攻击和二次或较高次逼近攻击的密码函数发挥了重要作用.为了抵抗采样攻击,提出了布尔函数迹Walsh谱和迹Walsh循环谱概念,并给出该Walsh谱的一些简单性质.利用这一谱值的分布特性,可以很好地分析布尔函数的迹函数逼近问题,对序列密码采样攻击研究具有重要意义. The research on the linear Walsh spectrum and the high-order Walsh spectrum of Boolean functions plays an important role in constructing the cryptographic functions that can resist the linear approximation attacks and the second or higher approximation attacks.In order to resist the sampling attacks, the Boolean function Walsh spectrum and trace Walsh cycle spectrum concept and gives some simple properties of the Walsh spectrum.Using the distribution of this spectrum value, we can well analyze the approximation problem of trace function of Boolean function, which is of great significance to the research of sequence password sampling attack.