Distributed Reed-Muller Coded-Cooperative Spatial Modulation

• Published in: Wireless personal communications Vol. 124; no. 3; pp. 2785 - 2807
• Main Authors: Mughal, Shoaib, Umar, Rahim, Yang, Fengfan, Xu, Hongjun, Iqbal, Rizwan
• Format: Journal Article
• Language: English
• Published: New York Springer US 2022; Springer Nature B.V
• Subjects: Bit error rate; Codes; Communications Engineering; Computer Communication Networks; Construction; Decoding; Engineering; Modulation; Networks; Nodes; Noise levels; Relay; Signal to noise ratio; Signal,Image and Speech Processing; Joint soft RM decoder; Distributed Reed-Muller (DRM); KP construction; Spatial modulation (SM); Multiple input multiple output (MIMO)
• ISSN: 0929-6212; 1572-834X
• DOI: 10.1007/s11277-022-09489-1

This paper proposes distributed Reed-Muller coded spatial modulation (DRMC-SM) scheme based on Kronecker product (KP) construction. This special construction enabled an effective distribution of classical Reed-Muller (RM) code along source and relay nodes. The proposed DRMC-SM scheme not only offers resilience in bit error rate (BER) performance but also enhances the spectral efficiency due to additional antenna index transmission inculcated by spatial modulation (SM). The usefulness of KP construction over classical Plotkin (CP) construction in coded-cooperation is analysed with and without incorporating SM. An efficient criteria for selecting the optimum bits is adopted at relay node which eventually results in better weight distribution of the mutually constructed (source and relay) RM code. The numerical results show that proposed KP construction outperforms CP construction by 1 dB in signal to noise ratio (SNR) at bit error rate (BER) of
7
×
10
-
7
. Moreover, the proposed DRMC-SM scheme outperforms its non-cooperative Reed-Muller coded spatial modulation scheme as well as distributed turbo coded spatial modulation scheme. This prominent gain in SNR is evident due to the path diversity, efficient selection of bits at the relay node and joint soft-in-soft-out (SISO) RM decoding employed at the destination node.