Multi-scale wavelet modulation

The purpose of this paper is to provide the fundamental characterization of a general multidimensional modulation format which utilizes wavelet basis functions as pulse shapes. This type of modulation is particularly effective in distorting channels since it allows for frequency selective processing. In addition to developing the signal format, power spectral density, bandwidth efficiency and error rate performance, an efficient digital implementation utilizing digital filter banks is put forth. Finally, the use of wavelets in communication is seen to generate new pulse shape designs. A practical solution discussed in the paper applies the Smith-Barnwell two-channel filter bank design