An Efficient Analytic Solution for Joint Blind Source Separation

Joint blind source separation (JBSS) is a powerful methodology for analyzing multiple related datasets, able to jointly extract sources that describe statistical dependencies across the datasets. However, JBSS can be computationally prohibitive with high-dimensional data, thus there exists a key nee...

Full description

Saved in:
Bibliographic Details
Published in:IEEE transactions on signal processing 2024, Vol.72, p.2436-2449
Main Authors: Gabrielson, Ben, Baker Siddique Akhonda, Mohammad Abu, Lehmann, Isabell, Adali, Tulay
Format: Article
Language:English
Subjects:
Algorithms
Blind source separation
Complexity
Correlation
Covariance matrices
Datasets
Eigenvectors
Exact solutions
independent vector analysis
Indexes
Joint blind source separation
Linear equations
Mathematical models
Matrices (mathematics)
multiset canonical correlation analysis
Orthogonality
Signal processing algorithms
Vectors
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Joint blind source separation (JBSS) is a powerful methodology for analyzing multiple related datasets, able to jointly extract sources that describe statistical dependencies across the datasets. However, JBSS can be computationally prohibitive with high-dimensional data, thus there exists a key need for more efficient JBSS algorithms. JBSS algorithms typically rely on numerical solutions, which may be expensive due to their iterative nature. In contrast, analytic solutions follow consistent procedures that are often less expensive. In this paper, we introduce an efficient analytic solution for JBSS. Denoting a set of sources dependent across the datasets as a "source component vector" (SCV), our solution minimizes correlation among separate SCVs by minimizing distance of the SCV cross-covariance's eigenvector matrix from a block diagonal matrix. Under the orthogonality constraint, this leads to a system of linear equations wherein each subproblem has an analytic solution. We derive identifiability conditions of our solution's estimator, and demonstrate estimation performance and time efficiency in comparison with other JBSS algorithms that exploit source correlation across datasets. Results demonstrate that our solution achieves the lowest asymptotic computational complexity among JBSS algorithms, and is capable of superior estimation performance compared with algorithms of similar complexity.
ISSN:1053-587X
1941-0476
DOI:10.1109/TSP.2024.3394655