Adjoint Wavelets

Sometimes another independent wavelet will be got by a wavelet and it through the reversion or transposition of the Filter Coefficients. Based on this phenomenon, this essay will outline the concept of Adjoint wavelets, prove their significant characters, provide details of design and list lots of instance. The fa-mous Daubechies wavelets will produce a special kind of accompanying wavelets as well, so the Adjoint wavelets can be also seen as the expansion of Daubechies wavelets. When a signal analysis made by a pair of wavelets, more independent of the signal characteristics will be offered. For the Adjoint wavelets which are con-stituted by the same length wavelets filter, their disappearance can be adjusted for necessary, and thereby "frequency" characters can be obtained in different signal analysis.