Adaptive Window Width Selection Algorithm for Gabor Transform Based on Entropy
Du Xiu-li①② Shen Yi② Wang Yan②
①(School of Information Engineering, Dalian University, Dalian 116622, China) ②(School of Astronautics, Harbin Institute of Technology, Harbin 150001, China)
Abstract:To resolve the issue of window width selection, an adaptive algorithm for Gabor transform is proposed, which improves the concentration and time-frequency resolution of Gabor representation. The value range of Shannon entropy is mended to make it more adequate for measuring concentration of time-frequency distribution. Moreover, basing on entropy, an optimal window width can be searched adaptively. Simulation results show that the proposed algorithm chooses the optimal window width for mono-component signal or multi-component signal, giving the best Gabor representation with high concentration and time-frequency resolution. Additionally, the algorithm behaves well under low signal noise ratio.