Abstract
In this article we give: (a) a new construction for
mapping binary sequences to permutation sequences formed
from a 4-PAM constellation, and call the resulting codebooks
mappings; (b) a metric for assessing the performance of
mappings from our construction; (c) performance results
comparing mappings from our construction against the conventional
mappings in the literature. The results show that our
mappings outperform the conventional mappings. Against
conventional soft-decision decoded 4-PAM, our mapping
showed 2.4 dB and 3.2 dB improvement over (R = 1=3,
K = 4, dfree = 10) and (R = 1=3, K = 3, dfree = 6)
convolutional codes, respectively.