TY - GEN
T1 - Joint Maximum Likelihood Estimation of Power Spectral Densities and Relative Acoustic Transfer Functions for Acoustic Beamforming
AU - Hoang, Poul
AU - Tan, Zheng-Hua
AU - de Haan, Jan Mark
AU - Jensen, Jesper
PY - 2021
Y1 - 2021
N2 - Acoustic beamforming is crucial for many applications where extraction of a target signal from a noisy environment is required. In order to implement practical beamformers, e.g. the multichannel Wiener filter (MWF), estimation of the target and noise power spectral densities (PSDs), and the relative acoustic transfer functions (RATFs) is essential. Several methods, e.g. the so-called covariance whitening (CW) approach, have been proposed for estimating these parameters. However, it seems largely unknown that the CW approach in fact leads to maximum likelihood (ML) estimates of the RATFs. We use historical results to derive joint ML estimates (MLEs) of the RATFs and PSDs in the context of acoustic beamforming. In addition, based on the MLEs, we propose a basic VAD framework using concentrated likelihood ratios. We use the joint MLEs of the PSDs, RATFs, and the proposed VAD to implement beamformers in a hearing aid application, and compare its performance to competing methods. Simulation results show that the proposed scheme can outperform competing methods, in particular in realistic situations where highly accurate prior RATF knowledge is not available or at higher signal-to-noise ratios.
AB - Acoustic beamforming is crucial for many applications where extraction of a target signal from a noisy environment is required. In order to implement practical beamformers, e.g. the multichannel Wiener filter (MWF), estimation of the target and noise power spectral densities (PSDs), and the relative acoustic transfer functions (RATFs) is essential. Several methods, e.g. the so-called covariance whitening (CW) approach, have been proposed for estimating these parameters. However, it seems largely unknown that the CW approach in fact leads to maximum likelihood (ML) estimates of the RATFs. We use historical results to derive joint ML estimates (MLEs) of the RATFs and PSDs in the context of acoustic beamforming. In addition, based on the MLEs, we propose a basic VAD framework using concentrated likelihood ratios. We use the joint MLEs of the PSDs, RATFs, and the proposed VAD to implement beamformers in a hearing aid application, and compare its performance to competing methods. Simulation results show that the proposed scheme can outperform competing methods, in particular in realistic situations where highly accurate prior RATF knowledge is not available or at higher signal-to-noise ratios.
KW - Beamforming
KW - Maximum likelihood
KW - Power spectral density estimation
KW - Relative acoustic transfer function
UR - http://www.scopus.com/inward/record.url?scp=85114961614&partnerID=8YFLogxK
U2 - 10.1109/ICASSP39728.2021.9414252
DO - 10.1109/ICASSP39728.2021.9414252
M3 - Article in proceeding
SN - 978-1-7281-7606-2
VL - 2021-June
T3 - I E E E International Conference on Acoustics, Speech and Signal Processing. Proceedings
SP - 6119
EP - 6123
BT - ICASSP 2021 - 2021 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)
PB - IEEE
T2 - ICASSP 2021 - 2021 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)
Y2 - 6 June 2021 through 11 June 2021
ER -