On a Novel Class of Complex Analytic Wavelet
Yuan Xiao, Uestc Chengdu · Dianzi xuebao · 2000
By constructing bubble wavelet and supper Gaussian spectrum wavelet,a novel class of wavelet,along with its simple explicit expressions in frequency domain and time domain is presented systematically in this paper.Firstly,the conditions of constructing wavelet used for linear complex analysis of real signal are discussed,and then a new class of wavelet with generalizing linear phase (or Y wavelet) is introduced.Secondly,the basic performances and features of these new wavelets are studied in both frequency domain and time domain.Based on the proposed wavelet,a number of complex analytic wavelet with different performance and features are obtained by changing a few controlling parametric variables.Some of the existing wavelets is included in this new class of wavelets,or approximated by a specific member of this new class of wavelets.