TECHNIQUE FOR DETERMINING NONLINEAR ORDER-SEPARATED RESPONSES OF NONLINEAR SYSTEMS INCLUDING LINEAR RESPONSE AT SYSTEM TYPICAL INPUT LEVELS

摘要

A software application characterizes a nonlinear system by applying a series of test signals at full power and performing an algorithm on the resulting outputs to determine the true linear response and the order-separated outputs. The application generates a baseline test signal, multiplied by a gain factor. The application inputs the test signal to the system to produce a response. The application then generates another test signal by multiplying the baseline signal by a different gain factor. The application iterates generating test signals by multiplying by differing gain factors. The application then constructs a Vandermonde matrix of the gain factors, computes the inverse Vandermonde matrix, and convolves the inverse Vandermonde matrix with a matrix of the system responses to each of the test signals. The elements of the resulting convolution represent the order-separated outputs including the linear response output of the nonlinear system at full power.

主权项

1. A non-transitory computer-readable medium that, when executed by a processor, configures the processor to characterize a nonlinear system, by performing the steps of:
applying a first signal to the nonlinear system; determining a first response of the nonlinear system to the first signal; applying a second signal to the nonlinear system; determining a second response of the nonlinear system to the second signal; and performing a mathematical operation based on the first signal, the second signal, the first response, and the second response to generate an output that characterizes the nonlinear system.