The problem to find a good signal constellation for Gaussian channels is associated to the search of lattices which present a good packing density, that is, dense lattices. In this way, we propose an algebraic framework to construct the dense lattice from the principal ideal of the cyclotomic field , where and are the third and -th root of unity, respectively.
The advantage of obtaining lattices from this method is the identification of the lattice points with the elements of a number field. Consequently, it is possible to utilize some properties of number fields in the study of such lattices.
Download the full text of article from here.
You will need Adobe Acrobat reader. For more information and free download of the reader, please follow this link.