Table of Contents
ISRN Signal Processing
Volume 2011 (2011), Article ID 971051, 6 pages
http://dx.doi.org/10.5402/2011/971051
Research Article

An Alternative Approach to the Balanced Model Truncation Algorithm for Acoustic Minimum-Phase Inverse Filters Order Reduction

1Department of Informatics, University of Laghouat, BP 37G, Laghouat 03000, Algeria
2Applied DSP and VLSI Research Group, Department of Electronic Systems, University of Westminster, 115 New Cavendish Street, London W1W 6UW, UK
3Department of Electronics, ENPA, BP 182, Algiers 16000, Algeria

Received 3 March 2011; Accepted 21 March 2011

Academic Editors: Y. H. Ha and F. Perez-Cruz

Copyright © 2011 Maamar Ahfir et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We propose an alternative approach to the Balanced Model Truncation method (standard method). This approach reduces substantially the order of minimum-phase inverse filters for equalizing room acoustics. This method is based on a property of the filter z transform function, which modifies the corresponding FIR coefficients before the application of the standard technique to the modified FIR coefficients filter version. In the standard technique, the Hankel singular values plot is the chief guide for a user for the selection of a reduced filter order. Results for minimum-phase inverse filter corresponding to partial equalization of measured acoustic impulse response show the superiority of the proposed method over the standard technique, in terms of reduced filters order selection.