Design of Block Transceivers with Decision Feedback Detection

TL;DR

This paper introduces a joint design method for block transceivers with decision feedback detection that minimizes error metrics and approaches channel capacity, outperforming standard transceivers especially at high SNRs.

Contribution

It provides closed-form solutions for transmitter-receiver pairs that optimize MSE, bit error rate, and mutual information in block communication systems with decision feedback.

Findings

Proposed transceivers outperform standard designs.

Designs retain advantages despite error propagation.

Approach approaches system capacity at high SNRs.

Abstract

This paper presents a method for jointly designing the transmitter-receiver pair in a block-by-block communication system that employs (intra-block) decision feedback detection. We provide closed-form expressions for transmitter-receiver pairs that simultaneously minimize the arithmetic mean squared error (MSE) at the decision point (assuming perfect feedback), the geometric MSE, and the bit error rate of a uniformly bit-loaded system at moderate-to-high signal-to-noise ratios. Separate expressions apply for the ``zero-forcing'' and ``minimum MSE'' (MMSE) decision feedback structures. In the MMSE case, the proposed design also maximizes the Gaussian mutual information and suggests that one can approach the capacity of the block transmission system using (independent instances of) the same (Gaussian) code for each element of the block. Our simulation studies indicate that the proposed transceivers perform significantly better than standard transceivers, and that they retain their performance advantages in the presence of error propagation.