The special affine Fourier transform (SAFT) generalizes a number of well known unitary transformations, signal processing transformations and optics related mathematical operations. For example, Fourier transform, fractional Fourier transform, linear canonical transform, etc. The short-time special affine Fourier transform (STSAFT) is a novel time-frequency analysis tool, which solve the limitation of SAFT in time-frequency signal description. In this paper, we generalize some different uncertainty principles (UPs) for the SAFT and STSAFT of complex signals. The UPs for the STSAFT of complex signals are obtained in both local and global cases. Then the uncertainty principle for two STSAFT time-frequency domains is discussed. Finally, we provide a class of signals to illustrate our results.

特殊的仿射傅立叶变换（SAFT）概括了许多众所周知的unit变换，信号处理变换和与光学相关的数学运算。短时特殊仿射傅立叶变换（STSAFT）是一种新颖的时频分析工具，解决了SAFT在时频信号描述中的局限性。在本文中，我们为复杂信号的SAFT和STSAFT概括了一些不同的不确定性原理（UPs）。在本地和全局情况下都可以获得用于复杂信号的STSAFT的UP。然后讨论了两个STSAFT时频域的不确定性原理。最后，我们提供了一类信号来说明我们的结果。