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的条件下 ,双正交分析窗函数的最优解特性 ,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。文末还给出了计算机求解实例。
Gabor transforms have been recognized as a useful tool in signal and image processing. In this paper, we first review the method presented by us for the real discrete Gabor transforms (RDGT), and then focus on general optimal solutions for the biorthogonal analysis window functions given a synthesis window function in the RDGT. We prove 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 biorthogonal analysis window functions in some special cases. Some experimental examples are also given at the end of the paper.
出处
《计算机应用》
CSCD
北大核心
2001年第1期10-13,共4页
journal of Computer Applications
基金
国家留学基金委员会留学基金(97834011)
