Express Paper
Optimal Levels and Measurement Time for Separation of Nonlinear Components
Express Paper · Paper 413 · May 2026
Abstract
Linear loudspeaker parameters are often estimated via fitting of transferfunctions, under the assumption of linearity. This paper investigates the corruption of the measurement caused by nonlinearities in the system and presents a new and improved method for separating the true linear response from the nonlinear components by analyzing a sequence of measurements done at different levels. The method is improved by analyzing the influence of the chosen measurement levels as well as the measurement time at each level and presents numerically optimal values for the most typical cases of nonlinear behaviour. While the influence of noise and nonlinear distortion can be eliminated completely in the case of finite orders of nonlinearities on the system, the method is also shown to provide improved accuracy in the more realistic case where all orders are present but only a finite number of them dominate.
