Space-Time Codes from Spectral Norm: A Fresh Look

TL;DR

This paper introduces a novel design criterion for space-time codes in multi-antenna channels, focusing on minimizing pairwise error probability using spectral norm and random matrix theory.

Contribution

It proposes a new design criterion based on spectral norm and eigenvalue distribution, offering a fresh perspective on space-time code optimization.

Findings

Derived an approximation for the largest eigenvalue distribution of Wishart matrices.

Proposed a criterion that potentially improves error performance in multi-antenna systems.

Utilized random matrix theory to connect spectral properties with coding performance.

Abstract

Current research proposes a natural environment for the space-time codes and in this context it is obtained a new design criterion for space-time 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 spectrum norm. The random matrix theory is used and an approximation function for the probability density function is obtained for the largest eigenvalue of a Wishart Matrix.