Adaptive predistortion is an effective method for linearising high pow
er amplifiers. An important problem faced in the optimisation of a pre
distortion lineariser is that of convergence into a local minimum. In
the Letter, a global optimisation algorithm is presented which uses po
lynomial predistortion and postdistortion. By using postdistortion or
the demodulated signals, objective functions of quadratic shape are ob
tained and fast convergence to the global minimum is ensured. Computer
simulation results am presented which show fast convergence and high
spectral improvement.