MESMGabMul: Improving the Multiple Exponential Sweep Method (MESM) using Gabor Multipliers

Objective

The Multiple Exponential Sweep Method (MESM) is an optimized method for the semi-simultaneous system identification of multiple systems. It uses an appropriate overlapping of the excitation signals. This leads to a faster identification of the weakly nonlinear systems that are retrieving the linear impulse response only. Using a Gabor multiplier in the post-processing procedure of the system identification may reduce the measurement noise. This may further improve the signal-to-noise ratio of the measured data.

Method

A Gabor multiplier is used to cut the interesting parts out of the measured signals in the time-frequency plane. This allows a specific optimization of signal parts, independent of the frequency. Initial tests applying a Gabor multiplier to simulated data showed that the depth of spectral notches could be raised. A systematic investigation of this method is the main goal this project.

Application

This method may improve the signal-to-noise ratio in system identification tasks of any weakly nonlinear system, such as those involving acoustic measurements with electric equipment.

Publications

  • P. Majdak, P. Balazs, B.Laback, "Multiple Exponential Sweep Method for Fast Measurement of Head Related Transfer Functions", Journal of the Acoustical Engineering Society , Vol. 55, No. 7/8, July/August 2007, Pages 623 - 637 (2007)

Project-completion

This project ended on 28.02.2008 and is incorporated into the 'High Potential'-Project of the WWTF, MULAC (q.v.).