Waveform design for higher-level 3D constellation mappings and its construction based on regular tetrahedron cells  

作　　者：SHI PengFei HUAN Hao TAO Ran 

机构地区：[1]School of Information and Electronics,Beijing Institute of Technology [2]Key Lab for Spacecraft TT&C and Communication under the Ministry of Education

出　　处：《Science China(Information Sciences)》2015年第8期8-19,共12页中国科学（信息科学）（英文版）

基　　金：supported in part by the Ph.D.Programs Foundation of Ministry of Education of China(Grant No.20121101130001);China Academy of Space Technology Key Foundation(Grant No.CAST201215);the Open Research Fund of the Academy of Satellite Application(Grant No.2014CXJJTX05);Open Research fund Program of Key Lab for Spacecraft TT&C and Communication,Ministry of Education,China

摘　　要：In this paper, we propose a generalized method of high-level three dimensional （3D） signal constella- tion mapping based on the most basic 3D structure： regular tetrahedron cells. First, we redefined the waveform design, the normalized frequency and phase modulation for the geometric construction of tetrahedron cells. Then, the new topology of tetrahedron cells based on the traditional lattice 3D constellation were constructed. Especially, we focused on the two essential types, 8-ary and 16-ary based on tetrahedron cells on behalf of the odd and even carry bits, respectively. The available range and closed forms of the symbol error probability （SEP） were derived to increase the effectiveness and safety of wireless communication systems. NormMized minimum Euclidean distance and average number of neighbors were utilized to measure the performance against Gaussian noise. Simulation results showed that tile proposed 8-ary and 16-ary 3D constellation mapping obtained 0.25 and 0.5 dB gain at the SEP of 10-6 and 10-4, respectively, over traditional 3D lattice structure in additive white Gaussian noise （AWGN） channel.In this paper, we propose a generalized method of high-level three dimensional （3D） signal constella- tion mapping based on the most basic 3D structure： regular tetrahedron cells. First, we redefined the waveform design, the normalized frequency and phase modulation for the geometric construction of tetrahedron cells. Then, the new topology of tetrahedron cells based on the traditional lattice 3D constellation were constructed. Especially, we focused on the two essential types, 8-ary and 16-ary based on tetrahedron cells on behalf of the odd and even carry bits, respectively. The available range and closed forms of the symbol error probability （SEP） were derived to increase the effectiveness and safety of wireless communication systems. NormMized minimum Euclidean distance and average number of neighbors were utilized to measure the performance against Gaussian noise. Simulation results showed that tile proposed 8-ary and 16-ary 3D constellation mapping obtained 0.25 and 0.5 dB gain at the SEP of 10-6 and 10-4, respectively, over traditional 3D lattice structure in additive white Gaussian noise （AWGN） channel.

关 键 词：waveform design 3D constellation mapping regular tetrahedron cells OFDM systems wirelesscommunication 

分 类 号：TN911.3[电子电信—通信与信息系统]