The Emulation of Nonlinear Time-Invariant Audio Systems with Memory by Means of Volterra Series

For almost 100 years, it has been theoretically possible to model linear time-invariant (LTI) systems with memory [3]. The model is based on the convolution between the input signal and the impulse response (IR) of a system. This approach fails when we try to predict the behavior of a non-linear time-invariant system with memory. The objective of this article is to show how the emulation of a non-linear time-invariant system with memory based on a Volterra series is possible. There currently exists a measurement technique that is able to provide, under certain conditions, the data required to calculate kernels [4]. These conditions require a special phase equalization of the signal and the correct value of its amplitude.