DMT of weighted Parallel Channels: Application to Broadcast Channel

TL;DR

This paper analyzes the Diversity Multiplexing Tradeoff (DMT) of fading broadcast channels with weighted sum rate constraints, deriving the DMT for parallel MISO channels and broadcast channels using advanced precoding techniques.

Contribution

It introduces the DMT analysis for weighted parallel channels and applies it to broadcast channels with DPC and ZF precoding, extending existing capacity results.

Findings

Derived the DMT for identical and different parallel weighted MISO channels.

Established the DMT of broadcast channels using DPC and ZF precoders.

Connected weighted sum rate capacity with the DMT in fading broadcast channels.

Abstract

In a broadcast channel with random packet arrival and transmission queues, the stability of the system is achieved by maximizing a weighted sum rate capacity with suitable weights that depend on the queue size. The weighted sum rate capacity using Dirty Paper Coding (DPC) and Zero Forcing (ZF) is asymptotically equivalent to the weighted sum capacity over parallel single-channels. In this paper, we study the Diversity Multiplexing Tradeoff (DMT) of the fading broadcast channel under a fixed weighted sum rate capacity constraint. The DMT of both identical and different parallel weighted MISO channels is first derived. Finally, we deduce the DMT of a broadcast channel using DPC and ZF precoders.