Abstract: A fast algorithm for computing analysis window of real discrete Gabor transforms based on DCT in order to realize real discrete Gabor transforms efficiently was introduced. The original biorthogonal condition expression of computing analysis window functions was predigested by using the orthogonality of discrete cosine functions, and then divided the original equations set into a set of independent subsystems. Thus this algorithm can save a considerable computation. Some numerical experiments were given to demonstrate the efficiency and advantages of the proposed algorithm. It decreases the computational time compared to the original algorithm. 

Key words: Real discrete Gabor transforms (RDGT) , Analysis window , DCT

摘要： 为了快速有效地实现实值离散Gabor 变换, 利用离散余弦函数的正交性将原求解分析窗函数的双正
交条件式简化, 把原求解方程组分解成若干独立的子方程组, 给出了一种基于DCT 的实值离散Gabo r 变换分析窗的
快速求解算法。通过算法实验比较, 验证了此算法的有效性和在计算时间方面的优越性。

关键词: 实值离散Gabor 变换 , 分析窗 , 离散余弦变换(DC T)