Wavelets as signaling waveforms over partial-response channels
Raghuveer Rao · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1995
Wavelet transform theory, in the context of multiresolution analysis, has brought out useful properties of Hilbert spaces generated by bases consisting of translates of a single function. In particular, biorthogonal wavelet decomposition schemes provide a simple decomposition and reconstruction arrangement by using scaling functions and duals whose translates form biorthogonal bases. Based on this concept, schemes are developed for data transmission over a partial response channel where one waveform is used to modulate the transmit data and another, its dual, is used to demodulate the data. The schemes do not require a precoder and are not restricted to binary data. In one of the schemes suited for bandlimited channels, it is possible to construct several different waveform pairs with a moderate sacrifice in bandwidth.