Wavelet transform Mother Mapper Operator

The wavelet transform domain characterization of a signal is highly dependent upon the mother wavelet which is chosen as the kernel of the transform. A novel operator, the Mother Mapper Operator, is derived to efficiently evaluate several transforms of the same signal with different mother wavelets. The Mother Mapper Operator directly maps a transform with respect to one mother wavelet to a new transform with respect to a new, different mother wavelet. The Mother Mapper Operator leads to signal representations which involve multiple mother wavelets instead of just one mother wavelet