为了改善传统离散Gabor变换的时频分辨率,降低离散Gabor变换计算的复杂性,提出了一种基于多高斯窗的实值离散Gabor变换分析窗的快速求解算法。对多高斯窗下离散Gabor变换双正交关系式进行了简化,给出了分析窗组的代数方程表达式。该算法相对于多高斯Gabor展开的计算复杂度明显降低,仿真实验的结果也证明了该算法的有效性。
In order to improve the joint time-frequency resolution of the traditional discrete Gabor transform,and decrease computational complexity limits its practical application,this paper proposed a fast algorithm to computing the analysis window of real discrete Gabor transforms based on multi-Gaussian window,which could simplify the calculation process of the discrete Gabor transforms.It gave the discrete multi-Gabor expansion based on original bi-orthogonal function.The computational load of the proposed algorithm is far less than the discrete multi-Gabor algorithm.Experimental results also show the effectiveness of the proposed algorithm.