Construction of nested pattern matrix with large girth for PDMA systems

Abstract

Abstract In this letter, a new method is proposed to construct the pattern matrix (PM) with both nested structure and large girth for pattern division multiple access (PDMA) system. The proposed method contains two steps. Firstly, by performing the Kronecker product on a cycle‐free base‐PM with overload factor β>1, an expanded‐PM with overload factor β2 is obtained. Then, puncturing the specific columns with high‐weight of that expanded‐PM, the derived nested PM achieves large girth and low row‐weight, which lead to low error propagation and low computational complexity under message passing‐based detector. Simulation results verified the above idea.

Keywords

• Algebra
• Multiple access communication