摘要
本文研究了TCM信号序列的自由空间距离的计算问题,提出一种新的算法——矩阵算法,同时在理论上解决了计算TCM信号序列的自由空间距离所需状态转移次数问题。此矩阵算法的推导基于Viterbi算法,它是Viterbi算法的矩阵实现。与已有的算法相比,此算法的优点在于:(1)给出了显式解,使得计算的复杂度相对减小。(2)对空间距离的变化具有更强的适应性。作为实例,给出了高斯信道和衰落信道上的一些TCM信号序列的自由空间距离的计算结果。
The problem of computing the free distance of TCM signal sequence has been discussed, a new algorithm-the matrix algorithm is proposed, and the estimation problem of state transition number required for computing the free distance of TCM signal sequence has been theoretically solved. The matrix algorithm is derived from the Viterbi algorithm, and is an implementation of Viterbi algorithm in the form of matrix. Compared with other algorithms, the matrix algorithm gams two advantages: (1) The explicit solution, and its relatively less complexity. (2) more flexible ability to the signal space distance variation. As some examples, the results of some TCM signal sequence on additive Gaussian white noise(AWGN) channel and fading channels have been presented.
基金
国家自然科学基金
