Wavelets and scaling functions as envelope waveforms for modulation
F. Daneshgaran, M. Mondin · 2002
We demonstrate that the use of scaling functions and wavelets as envelope waveforms for modulation is natural in light of the first Nyquist criterion for intersymbol interference (ISI) removal. The discrete orthonormal sequences generated using the filter bank theory can be used as practical means of generating such envelope functions. These waveforms can be used to modulate different information on adjacent channels that overlap in frequency. Using wavelet packets, we increase the number of dimensions available to the modulator per unit time, approaching the limit set by the dimensionality theorem.>