TDOA-based self-calibration of dual-microphone arrays. Farmani, M., Heusdens, R., Pedersen, M. S., & Jensen, J. In *2016 24th European Signal Processing Conference (EUSIPCO)*, pages 617-621, Aug, 2016. Paper doi abstract bibtex We consider the problem of determining the relative position of dual-microphone sub-arrays. The proposed solution is mainly developed for binaural hearing aid systems (HASs), where each hearing aid (HA) in the HAS has two microphones at a known distance from each other. However, the proposed algorithm can effortlessly be applied to acoustic sensor network applications. In contrast to most state-of-the-art calibration algorithms, which model the calibration problem as a non-linear problem resulting in high computational complexity, we model the calibration problem as a simple linear system of equations by utilizing a far-field assumption. The proposed model is based on target signals time-difference-of-arrivals (TDOAs) between the HAS microphones. Working with TDOAs avoids clock synchronization between sound sources and microphones, and target signals need not be known beforehand. To solve the calibration problem, we propose a least squares estimator which is simple and does not need any probabilistic assumptions about the observed signals.

@InProceedings{7760322,
author = {M. Farmani and R. Heusdens and M. S. Pedersen and J. Jensen},
booktitle = {2016 24th European Signal Processing Conference (EUSIPCO)},
title = {TDOA-based self-calibration of dual-microphone arrays},
year = {2016},
pages = {617-621},
abstract = {We consider the problem of determining the relative position of dual-microphone sub-arrays. The proposed solution is mainly developed for binaural hearing aid systems (HASs), where each hearing aid (HA) in the HAS has two microphones at a known distance from each other. However, the proposed algorithm can effortlessly be applied to acoustic sensor network applications. In contrast to most state-of-the-art calibration algorithms, which model the calibration problem as a non-linear problem resulting in high computational complexity, we model the calibration problem as a simple linear system of equations by utilizing a far-field assumption. The proposed model is based on target signals time-difference-of-arrivals (TDOAs) between the HAS microphones. Working with TDOAs avoids clock synchronization between sound sources and microphones, and target signals need not be known beforehand. To solve the calibration problem, we propose a least squares estimator which is simple and does not need any probabilistic assumptions about the observed signals.},
keywords = {calibration;computational complexity;estimation theory;hearing aids;least squares approximations;microphone arrays;position measurement;probability;TDOA-based self-calibration algorithm;relative position determination;dual-microphone subarray;binaural hearing aid system;acoustic sensor network application;nonlinear problem;computational complexity;far-field assumption;time-difference-of-arrival algorithm;HAS microphone;clock synchronization;sound source;least square estimator;probabilistic assumption;Calibration;Microphone arrays;Hearing aids;Signal processing algorithms;Direction-of-arrival estimation;Estimation;Microphone array calibration;hearing aid;DOA;TDOA;far-field},
doi = {10.1109/EUSIPCO.2016.7760322},
issn = {2076-1465},
month = {Aug},
url = {https://www.eurasip.org/proceedings/eusipco/eusipco2016/papers/1570252169.pdf},
}