The short-time linear canonical transform (STLCT) is a novel time-frequency analysis tool. In this paper, we generalize some different uncertainty principles for the STLCT of complex signals. Firstly, a new uncertainty principle for STLCT of complex signals in time and frequency domains is explored. Secondly, an uncertainty principle in two STLCT domains is obtained. They show that the lower bounds are related to the covariance of time and frequency and can be achieved by complex chirp signals with Gaussian signals. Then the uncertainty principle for the two conditional standard deviations of the spectrogram associated with the STLCT is derived. In addition, an example is also carried out to verify the correctness of the theoretical analyses. Finally, some potential applications are presented to show the effectiveness of the theorems.

短时线性规范变换（STLCT）是一种新颖的时频分析工具。在本文中，我们为复杂信号的STLCT推广了一些不同的不确定性原理。首先，探索了时域和频域中复杂信号的STLCT不确定性的新原理。其次，获得了两个STLCT域的不确定性原理。他们表明，下限与时间和频率的协方差有关，可以通过带有高斯信号的复杂线性调频信号来实现。然后推导了与STLCT相关的频谱图两个条件标准差的不确定性原理。另外，还通过一个例子验证了理论分析的正确性。最后，提出了一些潜在的应用来证明定理的有效性。