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Adaptive nonlinear least bit error-rate detection for symmetrical RBF beamforming.

S Chen¹, A Wolfgang, C J Harris

¹School of Electronics and Computer Science, University of Southampton, Southampton SO17 1BJ, UK. sqc@ecs.soton.ac.uk

Neural Networks : the Official Journal of the International Neural Network Society

|January 22, 2008

Summary

A new symmetrical radial basis function (RBF) detector improves nonlinear detection in multiple-antenna systems. This RBF detector achieves near-optimal performance even with imperfect training data, offering significant signal-to-noise ratio gains.

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Area of Science:

Electrical Engineering
Signal Processing
Machine Learning

Background:

Rank-deficient multiple-antenna systems present challenges for nonlinear detection.
Optimal Bayesian detection is computationally complex and sensitive to channel estimation errors.
Existing linear detectors offer suboptimal performance in such systems.

Purpose of the Study:

To propose a powerful symmetrical radial basis function (RBF) aided detector for rank-deficient multiple-antenna beamforming systems.
To achieve near-optimal Bayesian detection performance using channel-impaired training data.
To develop an adaptive training algorithm for the proposed RBF detector.

Main Methods:

Exploiting the symmetry of the optimal Bayesian detection solution.
Developing a novel nonlinear least bit error algorithm for adaptive training.
Utilizing stochastic approximation to the Parzen window estimation for probability density function estimation.

Main Results:

The proposed RBF detector approaches optimal Bayesian detection performance.
The adaptive solution provides a signal-to-noise ratio gain exceeding 8 dB over linear benchmarks.
Demonstrated performance improvements for configurations with 2 or 4 receive antennas.

Conclusions:

The symmetrical RBF detector offers a robust and high-performance solution for nonlinear detection in challenging wireless systems.
The adaptive training algorithm enables practical implementation with imperfect channel data.
Significant performance gains are achievable, enhancing the efficiency of multiple-antenna systems.