傅里叶变换、拉普拉斯变换和伽博变换，作为三种常见的积分变换，无论在数学物理的理论研究中还是在各种工程应用中，都有着极重要的价值.本文以傅里叶变换为中心，从逐级修正的角度，详细阐明了三者的理论渊源.

As three common integral transforms，Fourier transform，Laplace transform and Gabor transform are of great value both in the theoretical research of mathematical physics and in various engineering applications.In this paper，we take the Fourier transform as the center，and expound the theoretical relationship of the three transforms in detail from the point of view of step-by-step revision.