Complex low density lattice codes

An extension of the class of low density lattice codes (LDLC´s) to the complex case (i.e. complex lattices) is presented. We propose an extended belief-propagation decoding algorithm and present a complex parametric decoder. The complex decoder attains better performance for small dimensions, and for LDLC´s with small degrees. This extension is also required in order to use LDLC´s as a lattice space time codes.