Diversity-Integration Trade-offs in MIMO Detection

TL;DR

This paper analyzes the trade-offs in MIMO detection, deriving a generalized likelihood ratio test and exploring how waveform design affects diversity, energy, and detection performance in different power regimes.

Contribution

It introduces a generalized likelihood ratio test for arbitrary signals and investigates waveform design criteria considering diversity, energy, and rank trade-offs.

Findings

Increasing code matrix rank enhances diversity paths but reduces energy per path.

Trade-offs between diversity and signal-to-clutter ratio are characterized.

Design criteria depend on power constraints and system parameters.

Abstract

In this work, a MIMO detection problem is considered. At first, we derive the Generalized Likelihood Ratio Test (GLRT) for arbitrary transmitted signals and arbitrary time-correlation of the disturbance. Then, we investigate design criteria for the transmitted waveforms in both power-unlimited and power-limited systems and we study the interplay among the rank of the optimized code matrix, the number of transmit diversity paths and the amount of energy integrated along each path. The results show that increasing the rank of the code matrix allows generating a larger number of diversity paths at the price of reducing the average signal-to-clutter level along each path.