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dc.contributorDepartment of Applied Mathematicsen_US
dc.contributor.advisorYiu, Ka-fai Cedric (AMA)en_US
dc.creatorHe, Qi-
dc.identifier.urihttps://theses.lib.polyu.edu.hk/handle/200/12275-
dc.languageEnglishen_US
dc.publisherHong Kong Polytechnic Universityen_US
dc.rightsAll rights reserveden_US
dc.titleOn the beamforming designen_US
dcterms.abstractBeamforming is an essential technique in speech enhancement, which has been applied to many applications, including wireless communication, hands-free com­munication, and speech recognition. This thesis mainly focuses on the beamformer design and sensor array localization problem via optimization techniques in the distributed network.en_US
dcterms.abstractFirstly, we consider the microphone array localization problem with time-difference-­of-arrival (TDOA) measurements. We formulated the problem which applied the known source locations to identify the wireless array configuration and estimate the location for each array. The proposed method formulates a mixed semidefinite programming (SDP) and second-order cone programming (SOCP) relaxation model. Then the acoustic geometry calibration is obtained by solving a convex optimal programming. The characteristics of the optimal solution are studied, and exact relaxation conditions are given. In addition, two methods are proposed to give an offset of the random internal error caused by the recording procedure. Experimental results demonstrate the proposed mixed model in 2-dimensional and 3-dimensional space, which outperforms other relaxation methods.en_US
dcterms.abstractThen, with the given locations, a near-field broadband beamformer based on IIR filters performing spatial and frequency filtering is designed. The coefficients of the beamformer can be found from an optimal minimax problem which minimizes the error between the desired response and the actual response. We proposed a decom-position method to solve the stability problem, and two optimization algorithms are considered to obtain a global solution. Since the design problem is very complex and highly nonlinear due to the need for stability constraints, a specific structure is proposed to simplify the problem, Furthermore, the performance limit of the general and specific structure is analyzed. Results show that significantly fewer coefficients are needed than for FIR filter designs, and the corresponding computational load in the implementation decreases.en_US
dcterms.abstractFinally, two adaptive beamformers are designed in the modulation domain, by­passing the need of spatial information. The beamformers are designed based on the least square (LS) error between the desired and estimated signals and the max­imum signal-to-noise ratio (SNR). The proposed methods have been evaluated by three indicators, including STOI, noise suppression, and signal distortion. The re­sults show that the beamformers designed in the modulation domain outperform the counterparts developed in the frequency domain.en_US
dcterms.extentxv, 154 pages : color illustrationsen_US
dcterms.isPartOfPolyU Electronic Thesesen_US
dcterms.issued2023en_US
dcterms.educationalLevelPh.D.en_US
dcterms.educationalLevelAll Doctorateen_US
dcterms.LCSHBeamformingen_US
dcterms.LCSHHong Kong Polytechnic University -- Dissertationsen_US
dcterms.accessRightsopen accessen_US

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Please use this identifier to cite or link to this item: https://theses.lib.polyu.edu.hk/handle/200/12275