Differential Spatial Modulation with Lattice Reduction Aided Pre-coding

Abstract

This paper presents a pre-coding scheme for recently proposed differential spatial modulation (DSM) systems. It employs a lattice reduction (LR) aided pre-coding approach. An approximated upper bound on average bit error rate (BER) is semi-analytically derived. It is analytically shown that it can achieve a full diversity gain. That is, the performance analysis demonstrates that the LR-aided pre-coding DSM (LR-PDSM) systems with $N_T$ transmit antennas and $N_R$ receive antennas can achieve the maximum transmit diversity order of $N_T$. Meanwhile, it is well-known that the diversity order attained by the conventional zero-forcing (ZF) pre-coding is given as $N_T-N_R+1$. Simulation results verify the approximated theoretical analysis and show that LR-aided ZF pre-coding is capable of improving the BER performance of the conventional ZF pre-coding based DSM systems under the same spectral efficiency.

KEYWORDS:

• Lattice reduction (LR)
• Multiple input multiple output (MIMO)
• Pairwise error probability (PEP)
• Pre-coding
• Spatial modulation (SM)
• Zero-Forcing (ZF)

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This study was supported by research funds from Dong-A University.

Notes on contributors

Sangchoon Kim

Sangchoon Kim received the BS degree from Yonsei University, Seoul, Korea, in electronics engineering in 1991 and the ME and PhD degrees from the University of Florida, Gainesville, FL, USA, all in electrical and computer engineering, in 1995 and 1999, respectively. From 2000 to 2005, he has been a senior research engineer in LG Corporate Institute of Technology, Seoul, Korea, and a chief research engineer with the LG Electronics, Anyang, Korea, working on a range of research projects in the field of wireless/mobile communications. In 2005, he joined Dong-A University, Busan, Korea and is currently a professor with the Department of Electronics Engineering, Dong-A University, Busan, Korea. His research interests include wireless/mobile communications, signal processing, and antenna design.