在数字信号处理应用中很重要的一些问题均涉及弗雷德霍姆第一类积分方程的数值解及病态方程组解。在这些数学问题中,原始数据很小变动可以造成解的很大变化。这种问题就是不适定问题。本文结合信号处理的需要,介绍不适定问题的概念与计算方法,并给出一数值例。 Some of the most important problems in digital signal processing applications involve the numerical solution of the first-order integral equations of Fredholm and the solution of the ill-conditioned equations. In these mathematical problems, small changes in the original data can cause great changes in the solution. This problem is ill-posed. In this paper, the concept of the ill-posed problem and the calculation method are introduced according to the need of signal processing, and a numerical example is given.