Open AccessNew space-time block codes from spectral norm
Author(s) -
Carlos Alexandre Ribeiro Martins,
Mauro Luiz Brandão,
Eduardo Brandani da Silva
Publication year - 2019
Publication title -
plos one
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.99
H-Index - 332
ISSN - 1932-6203
DOI - 10.1371/journal.pone.0222708
Subject(s) - matrix norm , pairwise error probability , wishart distribution , mathematics , block code , random matrix , eigenvalues and eigenvectors , probability density function , norm (philosophy) , combinatorics , discrete mathematics , algorithm , statistics , fading , decoding methods , physics , quantum mechanics , multivariate statistics , political science , law
Current research proposes a natural environment for space-time codes and a new design criterion is obtained for space-time block codes in multi-antenna communication channels. The objective of this criterion is to minimize the pairwise error probability of the maximum likelihood decoder, endowed with the matrix spectral norm. The random matrix theory is used and an approximation function for the probability density function for the largest eigenvalue of a Wishart Matrix is obtained.