多维信号星座的多级编码Ⅰ

Multilevel Coding Based on Multidimensional Signal Constellations I

本文提出了一种对多维信号星座进行多级编码的新方法和相应的译码算法。这种新方法解决了以前网格编码调制系统中译码复杂度大致上随编码增益指数增长的问题。作为例子,我们给出了在4维格D_4和8维格E_8上的一些编码系统。结果表明:新的编码方式所需要的规范化(每2维)译码复杂度几乎随编码增益线性地增长。

A new method of multilevel coding based on multidimensional signal constellations and corresponding decoding algorithm is presented in this paper. The method solves the problem that the decoding complexity grows approximately exponentally with the increase of coding gains in previously known trellis-coded modulation systems. As examples, Some coding systems based on the four dimensional lattice D4 and the eight dimensional lattice E8 are given. The results show that the required normalized (each two dimensional) decoding complexity of the new coding scheme grows almost linearly with the increase of coding gains.