DocumentCode :
3699033
Title :
An improved Gabor wavelet and its complete transforms
Author :
Ji Zhanhuai;Yan Shenggang;Bao Jinqing
Author_Institution :
College of Marine, Northwestern Polytechnical University, Xi´an 710072, Shaanxi, China
fYear :
2015
Firstpage :
1
Lastpage :
6
Abstract :
An improved Gabor wavelet is proposed in this paper, of which the two parameters have clear physical meanings. Among two parameters, the frequency parameter is the center of symmetry of the wavelet´s amplitude spectrum and equal to the central frequency of the wavelet´s frequency window. The resolution factor parameter can adjust the support interval of the wavelet´s frequency spectrum function and the time-frequency resolutions of the wavelet function. Also, improved Gabor wavelet maps signals from a time domain to a time-frequency domain rather than the time-scale domain. Moreover, an inverse of this improved Gabor wavelet´s transform is proposed. Especially, this inverse transform can realize lossless signal reconstruction without the requirement for Gabor wavelet to satisfy the admissible condition. Finally, this paper discusses differences between Gabor wavelet complete transform and S transform, and verifies them by a real application.
Keywords :
"Wavelet transforms","Time-frequency analysis","Wavelet domain","Laplace equations","Time-domain analysis","Fourier transforms"
Publisher :
ieee
Conference_Titel :
Signal Processing, Communications and Computing (ICSPCC), 2015 IEEE International Conference on
Print_ISBN :
978-1-4799-8918-8
Type :
conf
DOI :
10.1109/ICSPCC.2015.7338925
Filename :
7338925
Link To Document :
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