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Robust Expectation-Maximization Algorithm for DOA Estimation of Acoustic\n Sources in the Spherical Harmonic Domain

2017/11/05 by Hossein Lolaee, Lolaee, Hossein, Mohammad Ali Akhaee +1
Computer Science · Engineering · #Advanced Adaptive Filtering Techniques #Applications (stat.AP) #Audio and Speech Processing (eess.AS) #Direction-of-Arrival Estimation Techniques #FOS: Computer and information sciences #FOS: Electrical engineering #Speech and Audio Processing #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.1711.01583

openalex publication_date 2017/11/05 · openalex created_date 2022/09/14 · openalex updated_date 2026/07/28

Abstract

The direction of arrival (DOA) estimation of sound sources has been a popular\nsignal processing research topic due to its widespread applications. Using\nspherical microphone arrays (SMA), DOA estimation can be applied in the\nspherical harmonic (SH) domain without any spatial ambiguity. However, the\nenvironment reverberation and noise can degrade the estimation performance. In\nthis paper, we propose a new expectation maximization (EM) algorithm for\ndeterministic maximum likelihood (ML) DOA estimation of L sound sources in the\npresence of spatially nonuniform noise in the SH domain. Furthermore a new\nclosed-form Cramer-Rao bound (CRB) for the deterministic ML DOA estimation is\nderived for the signal model in the SH domain. The main idea of the proposed\nalgorithm is considering the general model of the received signal in the SH\ndomain, we reduce the complexity of the ML estimation by breaking it down into\ntwo steps: expectation and maximization steps. The proposed algorithm reduces\nthe complexity from 2L-dimensional space to L 2-dimensional space. Simulation\nresults indicate that the proposed algorithm shows at least an improvement of\n6dB in robustness in terms of root mean square error (RMSE). Moreover, the RMSE\nof the proposed algorithm is very close to the CRB compared to the recent\nmethods in reverberant and noisy environments in the large range of signal to\nnoise ratio.\n

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