Automated methodology for modeling and measuring memoryless nonlinearities from the stochastic properties of a signal

In this paper, we tackle a new approach to the measurement and compensation of memoryless nonlinearities. It consists of three steps: i) the measuring of the amplitude distribution; ii) the orthogonal polynomial memoryless nonlinear description; and iii) the distortion compensation through algebraic polynomial inversion. With this procedure, an expeditious and rigorous method for the characterization of a nonlinear device is also possible with the important advantage of allowing for the use of far from ideal stimulus generators whose distortion can be compensated a posteriori