Tuyển tập các báo cáo nghiên cứu khoa học ngành toán học được đăng trên tạp chí toán học quốc tế đề tài: Two-stage source tracking method using a multiple linear regression model in the expanded phase domain | Yang and Kang EURASIP Journal on Advances in Signal Processing 2012 2012 5 http content 2012 1 5 o EURASIP Journal on Advances in Signal Processing a SpringerOpen Journal RESEARCH Open Access Two-stage source tracking method using a multiple linear regression model in the expanded phase domain Jae-Mo Yang and Hong-Goo Kang Abstract This article proposes an efficient two-channel time delay estimation method for tracking a moving speaker in noisy and re-verberant environment. Unlike conventional linear regression model-based methods the proposed multiple linear regression model designed in the expanded phase domain shows high estimation accuracy in adverse condition because its the Gaussian assumption on phase distribution is valid. Therefore the least-square-based time delay estimator using the proposed multiple linear regression model becomes an ideal estimator that does not require a complicated phase unwrapping process. In addition the proposed method is extended to the two-stage recursive estimation approach which can be used for a moving source tracking scenario. The performance of the proposed method is compared with that of conventional cross-correlation and linear regression-based methods in noisy and reverberant environment. Experimental results verify that the proposed algorithm significantly decreases estimation anomalies and improves the accuracy of time delay estimation. Finally the tracking performance of the proposed method to both slow and fast moving speakers is confirmed in adverse environment. Keywords source tracking time delay estimation inter-channel phase difference multiple linear regression phase expansion 1. Introduction Time delay estimation TDE plays key role in determining the steering capability of microphone array system which produces a direction of the target sound source required for performing spatial processing. Typical applications of microphone array system include teleconferencing automatic speech .
