Capacity and Channel Coding for Wireless Point-to-Point Z 2 Channel

Abstract

In this paper, we derive the capacity of the asymmetric $${\text{Z}}^{2}$$Z2-channel, which has been presented for the first time as an optimization problem. Similar to the Z-Channel, the proposed $${\text{Z}}^{2}$$Z2-channel can be modelled as a practical interference wireless channel. In addition, the capacity behavior of $${\text{Z}}^{2}$$Z2-channel is discussed and some examples and simulation results for the capacity is presented. Also a code plan has been applied for $${\text{Z}}^{2}$$Z2-channel, based on repetition code to simulate its performance and compare it with the original Z-channel. In conclusion, simulation results show that the $${\text{Z}}^{2}$$Z2-channel can be used widely for different operating points.