203862
20190317000051.0
REP_WORK
Idiap-RR-20-2014
Theoretical Analysis of Euclidean Distance Matrix Completion for Ad hoc Microphone Array Calibration
2014
Idiap
2014
Reports
We consider the problem of ad~hoc microphone array calibration where the distance matrix consisted of all microphones pairwise distances have entries missing corresponding to distances greater than $d_{\text{max}}$. Furthermore, the known entries are noisy modeled through additive independent random variables with strictly sub-Gaussian distribution, $\textsc{S}\textsc{ub}(c^2(d))$ with a bounded constant dependent on the distance $d$ between the microphone pairs. In this report, we exploit matrix completion approach to recover the full distance matrix. We derive the theoretical guarantees of microphone calibration performance which demonstrates that the error of calibrating a network of $N$ microphones using matrix completion decreases as $\mathcal{O}(N^{-1/2})$.
Ad hoc microphone array calibration
Euclidean distance matrix
Matrix completion
Microphone localization.
Missing pairwise distances
Taghizadeh, Mohammad J.
n/a
537273
n/a
http://infoscience.epfl.ch/record/203862/files/Taghizadeh_Idiap-RR-20-2014.pdf
LIDIAP
252189
U10381
oai:infoscience.tind.io:203862
report
STI
GLOBAL_SET
EPFL-REPORT-203862
Taghizadeh_Idiap-RR-20-2014/LIDIAP
EPFL
REPORT