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Title: Localization of acoustic source via optimal beamfomer design
Authors: Feng, ZG
Yiu, KFC 
Leung, RCK 
Nordholm, S
Keywords: Localization
Beamformer design
Semi-definite programming
Issue Date: 2015
Publisher: Yokohama Publishers
Source: Pacific journal of optimization, 2015, v. 11, no. 1, p. 37-56 How to cite?
Journal: Pacific journal of optimization 
Abstract: In localizing acoustic sources in an enclosed area, the effect of reverberation remains a difficult obstacle. With various reflections within the area, the acoustic energy map of the enclosure is becoming rather complex and spiky, so finding the correct location is often tricky and erroneous. In this paper, a new framework of an acoustic source localization system is proposed. First of all, based on a room model, the frequency response between a point in the room and a microphone can be calculated. The idea is to discretize the room and to form a map of beamformers for all discrete points. The beamformer design is formulated as a functional optimization problem, and the optimized frequency response function can be sought directly. We show that, under some mild conditions, any source location will be the global maximizer of a response function. Once the bearmforming map is constructed, the implementation in finding the source location can be done in real time. For illustration, we demonstrate how the proposed method localizes the source with three numerical examples.
ISSN: 1348-9151
EISSN: 1349-8169
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