Decoding of TCM in the Presence of Random Parameters Via the EM Algorithm

期望最大化（EM）算法是一种迭代算法， 可用于获得最大似然（ML）的算法 在直接攻击问题失败的情况下进行估计。 在这项研究中，PI将研究EM的应用 网格编码最优译码问题的一种算法 在存在白色高斯噪声的情况下的调制信号， 随机参数具体而言，工作将集中在两个方面 通道：随机相位通道和随机定时误差 频道 对于这些通道中的每一个， 处理将被描述，以及其性能使用 现有的网格码;进一步的影响， 将处理编码问题。

The expectation maximization (EM) algorithm is an iterative algorithm which can be used to obtain maximum-likelihood (ML) estimates in situations where a direct attack on the problem fails. In this research the PI will study the application of the EM algorithm to the problem of optimal decoding of trellis coded modulation signals in the presence of white Gaussian noise and random parameters. Specifically, the work will focus on two channels: the random phase channel and the random timing error channel. For each of these channels, the optimum receiver processing will be described, as well as its performance using existing trellis codes; further the implications of the optimal processing on the coding problem will be addressed.