对可逆的线性变换进行了改造,使之成为整数到整数的变换.首先介绍了3类基本的整数可逆变换,在此基础上,通过对给定线性变换的矩阵分解,给出了一个可逆线性变换整型化的充要条件及其构造方法.该整型变换是可逆的,因此非常适合于无失真的数据处理,如语音或图像的无损压缩. We transform the reversible linear transformation into an integer to integer transformation.Firstly, we introduce three kinds of basic integral invertible transformations, and on this basis, through a matrix decomposition of a given linear transformation, give a reversible linear Necessary and Sufficient Conditions for Transformations and Integers The transformations are reversible and therefore well suited for lossless data processing such as speech or image lossless compression.