TY - JOUR
T1 - Signal constellations employing multiplicative groups of Gaussian and Eisenstein integers for Enhanced Spatial Modulation
AU - Goutham, Goutham Simha
AU - M.A.N.S., Raghavendra
AU - Shriharsha, K.
AU - Shripathi Acharya, U.
N1 - Funding Information:
U. Shripathi Acharya received his Ph.D degree from Indian Institute of Science, Bangalore in 2005. He was principal coordinator for “Design and Commissioning of Simulators for the Indian Railway Signaling System (for both Single Line and Double Line Operation)” project(2007–2009), “Secure Turbulence Resistant Free Space Optical FSO links for Broad Band Wireless Access Networks” (2009–2012), “Uncoordinated, Secure and Energy Aware Access in Distributed Wireless Networks” project which was sponsored by Information Technology Research Academy (ITRA) Media Lab Asia (2013–2016)and chief coordinator for project “FIST” (2016–2021). Dr. U. Shripathi Acharya is with National Institute of Technology Karnataka, Surathkal from last 27 years and is currently serving as Professor and Head, Department of Electronics and Communication Engineering. His areas of interest are: Theory and Applications of Error Control Codes,Wireless Communications, Design of Free Space and Underwater Optical Communication Systems.
Funding Information:
Shriharsha Koila received his B.E. degree in Electronics and Communication Engineering from Malnad College of Engineering (affiliated to VTU), Hassan in 2012 and M.Tech. degree from National Institute of Technology Karnataka in 2015. He was part of Secure Turbulence Resistant Free Space Optical FSO links for Broad Band Wireless Access Networks project funded by Department of Information Technology India. His research interests are Wireless Communications with emphasis on Error Control Coding applications.
Funding Information:
Raghavendra M.A.N.S. (S’16) received his M.Tech. degree in Communication Engineering from the National Institute of Technology Karnataka, India in 2013. He was involved in “Secure Turbulence Resistant Free Space Optical FSO links for Broad Band Wireless Access Networks” project funded by Department of Information Technology India, and “Uncoordinated Secure and Energy Aware Access in Distributed Wireless Networks” project which was sponsored by Information Technology Research Academy (ITRA) Media Lab Asia. Currently he is a Research scholar in the Department of Electronics and Communication Engineering, National Institute of Technology Karnataka, India. His areas of interest are: Free Space Optic communications and Error control coding.
Publisher Copyright:
© 2017 Elsevier B.V.
PY - 2017/12
Y1 - 2017/12
N2 - In this paper, we propose two new signal constellation designs employing Gaussian and Eisenstein Integers for Enhanced Spatial Modulation (ESM). ESM is a novel technique which was propounded by Cheng et al. The advantage of ESM over other Spatial Modulation (SM) schemes lies in its ability to enhance spectral efficiency while keeping the energy efficiency intact. This is done by activating either one or two antennas judiciously depending upon the required trade-off. In ESM, information radiated from the antennas depends upon index of the active transmit antenna combination(s) and also on the set of constellation points chosen, which may include points from multiple constellations. In this paper, we propose signal constellations based on multiplicative groups of Gaussian and Eisenstein integers. The set comprising of Gaussian and Eisenstein integers serves as primary and secondary constellation points for Gaussian Enhanced Spatial Modulation (GESM) scheme. The secondary constellation points are deduced from a single geometric interpolation from the primary constellation points. The Monte Carlo simulation results indicate that the proposed nonuniform constellations achieve impressive SNR gains compared to conventional constellation points used in the design of ESM. This new design has been described for MIMO employing 4 × 4 and 8 × 8 antenna configurations with only two active antennas. Furthermore, a closed form expression for the pairwise error probability (PEP) for the GESM scheme has been deduced. The PEP is utilized to determine the upper bound on the average bit error probability (ABEP). Our simulations indicate that the proposed GESM from Gaussian and Eisenstein integers scheme outperforms all the other variants of SM including conventional ESM by at least 2.5 dB at an average bit error ratio (ABER) of 10−5. Close correspondence between the theoretical analysis and the Monte Carlo simulation results are observed.
AB - In this paper, we propose two new signal constellation designs employing Gaussian and Eisenstein Integers for Enhanced Spatial Modulation (ESM). ESM is a novel technique which was propounded by Cheng et al. The advantage of ESM over other Spatial Modulation (SM) schemes lies in its ability to enhance spectral efficiency while keeping the energy efficiency intact. This is done by activating either one or two antennas judiciously depending upon the required trade-off. In ESM, information radiated from the antennas depends upon index of the active transmit antenna combination(s) and also on the set of constellation points chosen, which may include points from multiple constellations. In this paper, we propose signal constellations based on multiplicative groups of Gaussian and Eisenstein integers. The set comprising of Gaussian and Eisenstein integers serves as primary and secondary constellation points for Gaussian Enhanced Spatial Modulation (GESM) scheme. The secondary constellation points are deduced from a single geometric interpolation from the primary constellation points. The Monte Carlo simulation results indicate that the proposed nonuniform constellations achieve impressive SNR gains compared to conventional constellation points used in the design of ESM. This new design has been described for MIMO employing 4 × 4 and 8 × 8 antenna configurations with only two active antennas. Furthermore, a closed form expression for the pairwise error probability (PEP) for the GESM scheme has been deduced. The PEP is utilized to determine the upper bound on the average bit error probability (ABEP). Our simulations indicate that the proposed GESM from Gaussian and Eisenstein integers scheme outperforms all the other variants of SM including conventional ESM by at least 2.5 dB at an average bit error ratio (ABER) of 10−5. Close correspondence between the theoretical analysis and the Monte Carlo simulation results are observed.
UR - https://www.scopus.com/pages/publications/85033470971
UR - https://www.scopus.com/pages/publications/85033470971#tab=citedBy
U2 - 10.1016/j.phycom.2017.10.012
DO - 10.1016/j.phycom.2017.10.012
M3 - Article
AN - SCOPUS:85033470971
SN - 1874-4907
VL - 25
SP - 546
EP - 554
JO - Physical Communication
JF - Physical Communication
ER -
SDG 7 Affordable and Clean Energy