基于辅助双正交的实值离散多Gabor变换

摘要

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.