Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Sound Field Analysis Based on Analytical Beamforming | Hindawi Publishing Corporation EURASIP Journal on Advances in Signal Processing Volume 2007 Article ID 94267 15 pages doi 2007 94267 Research Article Sound Field Analysis Based on Analytical Beamforming M. Guillaume and Y. Grenier Departement Traitement du Signal et des Images TSI Ecole Nationale Superieure des Telecommunications cNrS-UMR-5141 LTCI 46 rue Barrault 75634 Paris Cedex 13 France Received 1 May 2006 Revised 4 August 2006 Accepted 13 August 2006 Recommended by Christof Faller The plane wave decomposition is an efficient analysis tool for multidimensional fields particularly well fitted to the description of sound fields whether these ones are continuous or discrete obtained by a microphone array. In this article a beamforming algorithm is presented in order to estimate the plane wave decomposition of the initial sound field. Our algorithm aims at deriving a spatial filter which preserves only the sound field component coming from a single direction and rejects the others. The originality of our approach is that the criterion uses a continuous instead of a discrete set of incidence directions to derive the tap vector. Then a spatial filter bank is used to perform a global analysis of sound fields. The efficiency of our approach and its robustness to sensor noise and position errors are demonstrated through simulations. Finally the influence of microphone directivity characteristics is also investigated. Copyright 2007 M. Guillaume and Y. Grenier. 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. 1. INTRODUCTION Directional analysis of sound fields is determinant in domains such as the study of vibrating structures source localization and applications dedicated to the control of sound fields like wave field synthesis 1 2 sound systems based on spherical harmonics 3 and vector-base amplitude
