摘要
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。
As Gabor transforms have been recognized as a \useful tools in signal and image processing, a method for the real discrete Gabor transforms (RDGT) is presented and reviewed. Discussion is focused on the general optimal solutions for the bi-orthogonal analysis window functions given a synthesis window function in the RDGT. It is proven that the optimal solutions in many cases such as the minimum norm solutions and the most orthogonal-like solutions are equal. The singular value decomposition method is introduced to compute the bi-orthogonal analysis window functions in some special cases. Some experimental examples are also given at the end of the paper.
出处
《电路与系统学报》
CSCD
2000年第4期48-52,共5页
Journal of Circuits and Systems
基金
国家留学基金委员会留学基金(97834011)
