A survey of developments of super-wavelets

From the development of the problem,developments the super-wavelets in theory mathematics and their achievements are discussed.The characters of extending a normalized tight frame wavelet to a super-wavelet and the construction methods of super-wavelets by using affine structure are introduced.Lastly,a few open problems are listed and some new possible directions of research one pointed out.The super-wavelet is a signal analysis method based on wavelet analysis.There are some important results on extending a normalized tight frame wavelet to a super-wavelet,but there are some open problems on finding a sufficient and necessary condition for a normalized tight frame wavelet to be extended to a super-wavelet and the important aspects of the MRA super-wavelets also open.