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A method for the construction of hierarchical generalized space shift keying (GSSK) modulation for unequal error protection
Institution:1. Faculty of Radio Electronics, Le Quy Don Technical University, Viet Nam;2. Division of Computational Physics, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Viet Nam;3. Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Viet Nam;1. Department of Physics, Nanjing Normal University, Nanjing, Jiangsu 210023, China;2. School of Physics, Nankai University, Tianjin 300071, China;3. Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Apartado Postal 70-543, C.P. 04510, CDMX, Mexico;4. School of Physics, Nanjing University, Nanjing, Jiangsu 210093, China;5. Institute for Nonperturbative Physics, Nanjing University, Nanjing, Jiangsu 210093, China;6. Department of Integrated Sciences and Center for Advanced Studies in Physics, Mathematics and Computation, University of Huelva, E-21071 Huelva, Spain
Abstract:In this paper, we propose a systematic method to achieve two-level unequal error protection (UEP) with generalized space shift keying (GSSK) modulation for multiple-input multiple-output (MIMO) systems. GSSK is a modulation scheme that encodes the source information in the antenna indices. To enable the nonuniform arrangement of the spatial constellation of GSSK modulation, new techniques are needed as new features of GSSK modulation are observed. The proposed method is based on first partitioning the GSSK constellation into subsets and then choosing constellation points inside a subset. The high-priority (HP) bits select the subset and the low-priority (LP) bits select constellation points inside a subset. The proposed subset partitioning procedure developed based on a theoretical study on set partitioning in the multidimensional space guarantees optimal or near-optimal HP protection, enables simple and systematic designs for LP protection, and increases the LP capacity. The proposed systematic design approach applies to systems with any numbers of transmit antennas and can create various hierarchical GSSK schemes with different HP/LP protection capabilities.
Keywords:Multiple-input multiple-output (MIMO) systems  Spatial modulation (SM)  Generalized space shift keying (GSSK)  Hierarchical modulation  Unequal error protection (UEP)
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