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 [6] 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 [13].

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 [41] 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 [2], and (iii) power allocation based on the eigenmode user selection [3].

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.

ZHANG,

Diagonalization of certain integral operators II, J.

16), and consequently the energy spectrum can be obtained for any [lambda] and Z by a

diagonalization of (3.