Inverse LDM' and LU Factorizations of a Partitioned Matrix with the Square-root and Division Free Version for V-BLAST
Abstract
This letter proposes the inverse LDM' and LU factorizations of a matrix partitioned into 2x2 blocks, which include the square-root and division free version. The proposed squareroot and division free inverse LDM' factorization is applied to compute the initial estimation error covariance matrix Q for the recursive V-BLAST algorithm, which can save K-1 divisions (where K is the number of transmit antennas), and requires about the same computational complexity as the corresponding algorithm to compute Q in the existing recursive V-BLAST algorithm [8], [9]. The proposed square-root and division free inverse LDM' factorization can also be applied to propose the square-root and division free implementation for the squareroot V-BLAST algorithm in [5], where the wide-sense Givens rotation in [14] is utilized. With respect to the existing squareroot V-BLAST algorithms [5], [6], the proposed square-root and division free V-BLAST algorithm requires about the same computational complexity, and can avoid the square-root and division operations.
Keywords
Cite
@article{arxiv.1912.04475,
title = {Inverse LDM' and LU Factorizations of a Partitioned Matrix with the Square-root and Division Free Version for V-BLAST},
author = {Hufei Zhu},
journal= {arXiv preprint arXiv:1912.04475},
year = {2019}
}