en 5-Coding and Modulation Coding and Modulation Research Paper Research Paper <p>In this channel,we study rate region of a Gaussian two-way diamond channel which operates in half-duplex mode. In this channel, two transceiver (TR) nodes exchange their messages with the help of two relay nodes. We consider a special case of the Gaussian two-way diamond channels which is called Compute-and-Forward Multiple Access Channel (CF-MAC). In the CF-MAC, the TR nodes transmit their messages to the relay nodes which are followed by a simultaneous communication from the relay nodes to the TRs. Adopting rate splitting method in the terminal encoders and then using Compute-and-Forward (CF) relaying and decoding the sum of messages at the relay nodes, an achievable rate region for this channel is obtained. To this end, we use a superposition coding based on lattice codes. Using numerical results, we show that our proposed scheme has better performance than other similar methods and achieves a tighter gap to the outer bound.</p> <p style="text-align: left;"><img alt="AWT IMAGE" src="./files/site1/images/2.png" style="width: 250px; height: 250px;" ></p> Gaussian Two-Way Diamond Channels,Rate-Regions,Relay Channels,Information Theory, 287 293 http://ijeee.iust.ac.ir/browse.php?a_code=A-10-567-1&slc_lang=en&sid=1 F. Askarian farzaneh_askariyan@yahoo.com 180031947532846003737 180031947532846003737 No The Authors are with the School of Electrical Engineering, Iran S.M. Razavizadeh smrazavi@iust.ac.ir 180031947532846003738 180031947532846003738 Yes The Authors are with the School of Electrical Engineering, Iran F. Haddadi farzanhaddadi@iust.ac.ir 180031947532846003739 180031947532846003739 No The Authors are with the School of Electrical Engineering, Iran