Name
Title | ||
|---|---|---|
A “Sequentially Drilled” Joint Congruence (SeDJoCo) Transformation With Applications in Blind Source Separation and Multiuser MIMO Systems |
Abstract | ||
|---|---|---|
We consider a particular form of the classical approximate joint diagonalization (AJD) problem, which we call a “sequentially drilled” joint congruence (SeDJoCo) transformation. The problem consists of a set of symmetric real-valued (or Hermitian-symmetric complex-valued) target-matrices. The number of matrices in the set equals their dimension, and the joint diagonality criterion requires that in each transformed (“diagonalized”) target-matrix, all off-diagonal elements on one specific row and column (corresponding to the matrix-index in the set) be exactly zeros, yet does not care about the other (diagonal or off-diagonal) elements. The motivation for this form arises in (at least) two different contexts: maximum likelihood blind (or semiblind) source separation and coordinated beamforming for multiple-input multiple-output (MIMO) broadcast channels. We prove that SeDJoCo always has a solution when the target-matrices are positive-definite . We also propose two possible iterative solution algorithms, based on defining and optimizing two different criteria functions, using Newton's method for the first function and successive Jacobi-like transformations for the second. The algorithms' convergence behavior and the attainable performance in the two contexts above are demonstrated in simulation experiments. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1109/TSP.2012.2190728 | IEEE Transactions on Signal Processing |
Keywords | Field | DocType |
positive definite,independent component analysis,maximum likelihood estimation,mimo,head,hermitian matrices,symmetric matrices,blind source separation,simulation experiment,maximum likelihood,multi user mimo,indexation,newton method | Diagonal,Mathematical optimization,Multi-user MIMO,MIMO,Symmetric matrix,Independent component analysis,Blind signal separation,Mathematics,Source separation,Newton's method | Journal |
Volume | Issue | ISSN |
60 | 6 | 1053-587X |
Citations | PageRank | References |
4 | 0.40 | 16 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Arie Yeredor | 1 | 381 | 37.17 |
| Bin Song | 2 | 30 | 3.79 |
| Florian Roemer | 3 | 410 | 38.82 |
| Martin Haardt | 4 | 3531 | 311.32 |