Nonorthogonal Joint Diagonalization
by Combining Givens and Hyperbolic Rotations // IEEE Trans.
We first show that this definition does not depend on the chosen diagonalization
In this paper the efficacy of the BSS algorithm based on nonlinear phase-space reconstruction and nonorthogonal joint approximate diagonalization
of several time-delayed covariance matrices  is investigated in the case that the observation noise exists.
where e is a parameter defined by the users, its value is close to zero, which indicates the diagonalization
of Rm for a finite m, and [K.
In array signal processing aspect, trilinear decomposition can be classified as a high-dimension generalization of ESPRIT algorithm and joint approximate diagonalization
(JAD) method .
These particular equations could be solved more efficiently using a diagonalization
by means of Fourier transforms, or by spectral collocation methods.
Here k is the number of iterations in Approximate Joint Diagonalization
(AJD) step in JADE algorithm as described in  and simulation results show that k does not exceed 20 in our detection problem.
The MET consists of three parts, (i) the precoding based Block Diagonalization
(BD) technique, (ii) the eigenmode user selection , and (iii) power allocation based on the eigenmode user selection .
The extension to the d-dimensional setting with d > 1 does not pose any problem, because of the known block diagonalization
of the TL iteration (see e.
MEHRMANN, Numerical methods for simultaneous diagonalization
, SIAM J.
3 in terms of matrices, via matrix diagonalization
calls for the diagonalization
of a square matrix of size [N.
j] is an approximate eigenvalue or average eigenvalue obtained from the diagonalization
of the matrix [T.
of certain integral operators II, J.
16), and consequently the energy spectrum can be obtained for any [lambda] and Z by a diagonalization