Research Initiation: Optimum Signal Detection in Asynchro- nous Gaussian Multiple-Access Channels

该研究项目的目标是开发分析工具，用于研究分散多用户检测器的错误概率和计算复杂性以及编码可实现的性能限制。 为了分析这些信号检测问题的错误概率，将应用有色非高斯噪声中的最佳序列检测技术。 将研究计算复杂性，以确定是否存在具有接近最小错误概率的多项式时间规则。 性能限制分析的主要目的是确定假设用户间符号同步的现有结果在完全异步的情况下是否成立，并分析系统性能对信号能量的依赖性。

The objective of this research project is to develop analytical tools for the study of the error probability and computational complexity of decentralized multi-user detectors and the performance limits achievable by coding. To approach the analysis of the error probability of these signal detection problems, the techniques of optimum sequence detection in colored non-Gaussian noise will be applied. Computational complexity will be studied to determine whether polynomial-time rules exist with near-minimum probability of error. The primary objectives of the analysis of performance limits are to determine whether existing results that assume symbol-synchronization among users holds in the completely asynchronous case, and to analyze the dependence of system performance on signal energies.