An efficient approach to optimal data predistorter design for satellite links with filtering and noise in the uplink

We present an analytical method for computing the autocorrelation and conditional mean of the output of a bandlimited nonlinear amplifier. The method, which is applicable to modulations having π/2 symmetry, includes the effects of additive noise at the input to the nonlinear amplifier in addition to pulse shaping and the resulting intersymbol interference present in the nonlinear amplifier output. The autocorrelation and conditional mean calculations given in this paper form the basis of an analytical design method which may be used in several satellite communication problems including the design of amplifier output filtering, the joint optimization of pulse shaping and receiver filters, and the design of optimal data predistortion. The method of this paper provides an attractive alternative to Monte Carlo based designs in terms of both accuracy and computational complexity