On Optimum End-to-End Distortion in MIMO Systems

TL;DR

This paper analyzes the factors affecting the minimum expected end-to-end distortion in MIMO systems, deriving a high-SNR asymptotic expression that guides system design and performance optimization.

Contribution

It provides a closed-form asymptotic expression for end-to-end distortion considering antenna configuration, bandwidth ratio, and correlation, enhancing understanding of MIMO system performance.

Findings

Distortion depends on antenna numbers, bandwidth ratio, and correlation.

As correlation approaches zero, correlated and uncorrelated channel distortions converge.

The derived expressions serve as performance benchmarks and design guidelines.

Abstract

This paper presents the joint impact of the numbers of antennas, source-to-channel bandwidth ratio and spatial correlation on the optimum expected end-to-end distortion in an outage-free MIMO system. In particular, based on an analytical expression valid for any SNR, a closed-form expression of the optimum asymptotic expected end-to-end distortion valid for high SNR is derived. It is comprised of the optimum distortion exponent and the multiplicative optimum distortion factor. Demonstrated by the simulation results, the analysis on the joint impact of the optimum distortion exponent and the optimum distortion factor explains the behavior of the optimum expected end-to-end distortion varying with the numbers of antennas, source-to-channel bandwidth ratio and spatial correlation. It is also proved that as the correlation tends to zero, the optimum asymptotic expected end-to-end distortion in the setting of correlated channel approaches that in the setting of uncorrelated channel. The results in this paper could be performance objectives for analog-source transmission systems. To some extend, they are instructive for system design.