Abstract

In this contribution we propose an analogue receiver that can perform turbo detection in MIMO systems. We present the case for a receiver that is built from nonlinear analogue devices, which perform detection in a free-flow network (no notion of iterations). This contribution can be viewed as an extension of analogue turbo decoder concepts to include MIMO detection. These first analogue implementations report reductions of few orders of magnitude in the number of required transistors and in consumed energy, and the same order of improvement in processing speed. It is anticipated that such analogue MIMO decoder could bring about the same advantages, when compared to traditional digital implementations.

Highlights

  • Turbo codes and more general turbo principles are bound to have a substantial impact on the next-generation wireless systems

  • Some fundamentals of analogue computations stem directly from the universal Turing machine paradigm worked out by Alan Turing nearly 70 years ago [9]. They were used in many versions of analogue and mixed-mode processors built over the last few decades. In this contribution we extend the concept of analogue detection and we attempt to layout multiple-input multipleoutput (MIMO) analogue decoder

  • The inaccuracies are introduced mainly by the approximation in the exponential function and variations in the currents due to the nonideal behaviour of the transistors. In this contribution we have proposed an analogue detector for a MIMO system

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Summary

INTRODUCTION

Turbo codes and more general turbo principles (turbo equalisation, turbo multiuser detection, etc.) are bound to have a substantial impact on the next-generation wireless systems. The soft information, being analogue in nature, is best represented in analogue domain (e.g., electric currents or voltages) It can be processed in this form by analogue networks as well. Some fundamentals of analogue computations stem directly from the universal Turing machine paradigm worked out by Alan Turing nearly 70 years ago [9] They were used in many versions of analogue and mixed-mode (micro-) processors built over the last few decades. The proposed analogue MIMO decoder calculates sets of marginal posterior probabilities (MPPs). By Kirchhoff ’s current law, analogue summation can be achieved, and the speed improvement is due to fully parallel manner in which calculations of the joint posterior probability and marginalisation occur. The turbo detection is an iterative process where the so-called soft MIMO detector computes, for each time instant t, { f (x1 | yt, H), .

SYSTEM DESCRIPTION AND DETECTION AIMS
TRANSISTOR PHYSICS AND PROBABILISTIC DETECTION
ANALOGUE IMPLEMENTATION OF A LOW-DENSITY PARITY-CHECK CHANNEL DECODER
Multiplier
Summation
Negative exponential
ANALOGUE MIMO DECODER EXAMPLE AND RESULTS
CONCLUSIONS
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