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Gabor变换在信号图像处理中是一非常有用的工具。本文首先回顾了作者曾提出的实值离散Gabor变换方法，然后着重讨论了在已知综合窗函数条件下，双正交分析窗函数的最优解问题，指出在许多情况下，这些最优解（如最小范数解与最似正交解）都是相同的，并讨论了采用奇异值分解（SVD）理论求解双正交分析窗函数的方法。文末还给出了求解实例。
Gabor transform is a very useful tool in signal image processing. In this paper, we first review the real-valued discrete-time Gabor transform proposed by the author, and then focus on the optimal solution of the biorthogonal analysis window function under the condition of the known synthesis window function. It is pointed out that in many cases, these optimal solutions (Such as the least norm solution and the most orthogonal solution) are the same, and discuss the method of solving biorthogonal analysis window function by SVD theory. The article also gives examples of solving.