Performance of wavelet-based shaping pulses on linear and nonlinear channels

The use of orthonormal scaling functions, wavelets and wavelet packets for modulation has been recently proposed in references 1 - 3. In this paper we study the performance of the Meyer, Daubechies, biorthogonal Spline, Battle-Lemarie, and modified Gaussian families of wavelets, for modulation over linear and non- linear channels, and we propose the use of wavelets for modulation over FDM non-linear satellite channels and for multicarrier modulation on satellite and multipath channels. Simulation results indicate that in certain cases the wavelet based shaping pulses could out-perform the traditional techniques in extremely critical transmission conditions, such as interchannel interference impaired satellite transmission or transmission on multipath channels.