Tài liệu hạn chế xem trước, để xem đầy đủ mời bạn chọn Tải xuống
1
/ 106 trang
THÔNG TIN TÀI LIỆU
Thông tin cơ bản
Định dạng
Số trang
106
Dung lượng
692,66 KB
Nội dung
MINISTRY OF EDUCATION & TRAINING MINISTRY OF NATIONAL DEFENSE MILITARY TECHNICAL ACADEMY LE THI THANH HUYEN REPEATED INDEX MODULATION FOR OFDM SYSTEMS A Thesis for the Degree of Doctor of Philosophy HA NOI - 2020 MINISTRY OF EDUCATION & TRAINING MINISTRY OF NATIONAL DEFENSE MILITARY TECHNICAL ACADEMY LE THI THANH HUYEN REPEATED INDEX MODULATION FOR OFDM SYSTEMS A Thesis for the Degree of Doctor of Philosophy Specialization: Electronic Engineering Specialization code: 52 02 03 SUPERVISOR Prof TRAN XUAN NAM HA NOI - 2020 ASSURANCE I hereby declare that this thesis was carried out by myself under the guidance of my supervisor The presented results and data in the thesis are reliable and have not been published anywhere in the form of books, monographs or articles The references in the thesis are cited in accordance with the university’s regulations Hanoi, May 17th, 2019 Author Le Thi Thanh Huyen ACKNOWLEDGEMENTS It is a pleasure to take this opportunity to send my very great appreciation to those who made this thesis possible with their supports First, I would like to express my deep gratitude to my supervisor, Prof Tran Xuan Nam, for his guidance, encouragement and meaningful critiques during my researching process This thesis would not have been completed without him My special thanks are sent to my lecturers in Faculty of Radio - Electronics, especially my lecturers and colleagues in Department of Communications who share a variety of difficulties for me to have more time to concentrate on researching I also would like to sincerely thank my research group for sharing their knowledge and valuable assistance Finally, my gratitude is for my family members who support my studies with strong encouragement and sympathy Especially, my deepest love is for my mother and two little sons who always are my endless inspiration and motivation for me to overcome all obstacles Author Le Thi Thanh Huyen TABLE OF CONTENTS Contents List of abbreviations iv List of figures vii List of tables x List of symbols xi INTRODUCTION Chapter RESEARCH BACKGROUND 1.1 Basic principle of IM-OFDM 1.1.1 IM-OFDM model 1.1.2 Sub-carrier mapping 12 1.1.3 IM-OFDM signal detection 14 1.1.4 Advantages and disadvantages of IM-OFDM 16 1.2 Related works 17 1.3 Summary 23 Chapter REPEATED INDEX MODULATION FOR OFDM WITH DIVERSITY RECEPTION 24 2.1 RIM-OFDM with diversity reception model 24 2.2 Performance analysis of RIM-OFDM-MRC/SC under perfect CSI 28 2.2.1 Performance analysis for RIM-OFDM-MRC i 29 2.2.2 Performance analysis for RIM-OFDM-SC 34 2.3 Performance analysis of RIM-OFDM-MRC/SC under imperfect CSI 35 2.3.1 Performance analysis for RIM-OFDM-MRC 35 2.3.2 Performance analysis for RIM-OFDM-SC 40 2.4 Performance evaluation and discussion 41 2.4.1 Performance evaluation under perfect CSI 41 2.4.2 SEP performance evaluation under imperfect CSI condition 48 2.4.3 Comparison of the computational complexity 49 2.5 Summary 50 Chapter REPEATED INDEX MODULATION FOR OFDM WITH COORDINATE INTERLEAVING 51 3.1 RIM-OFDM-CI system model 51 3.2 Performance analysis 56 3.2.1 Symbol error probability derivation 56 3.2.2 Asymptotic analysis 59 3.2.3 Optimization of rotation angle 60 3.3 Low-complexity detectors for RIM-OFDM-CI 62 3.3.1 Low-complexity ML detector 62 3.3.2 LLR detector 65 3.3.3 GD detector 66 3.4 Complexity Analysis 67 3.5 Performance evaluations and discussion 69 ii 3.6 Summary 75 CONCLUSIONS AND FUTURE WORK 76 PUBLICATIONS 79 BIBLIOGRAPHY 81 iii LIST OF ABBREVIATIONS Abbreviation Definition AWGN Additive White Gaussian Noise BEP Bit Error Probability BER Bit Error Rate CI Coordinate Interleaving CS Compressed Sensing CSI Channel State Information D2D Device to Device ESIM-OFDM Enhanced Sub-carrier Index Modulation for Orthogonal Frequency Division Multiplexing FBMC Filter Bank Multi-Carrier FFT Fast Fourier Transform GD Greedy Detection ICI Inter-Channel Interference IEP Index Error Probability IFFT Inverse Fast Fourier Transform IM Index Modulation IM-OFDM Index Modulation for OFDM iv IM-OFDM-CI Index Modulation for OFDM with Coordinate Interleaving IoT Internet of Things ISI Inter-Symbol Interference ITU International Telecommunications Union LowML Low-complexity Maximum Likelihood LLR Log Likelihood Ratio LUT Look-up Table M2M Machine to Machine Mbps Megabit per second MGF Moment Generating Function MIMO Multiple Input Multiple Output ML Maximum Likelihood MM-IM-OFDM Multi-Mode IM-OFDM MRC Maximal Ratio Combining NOMA Non-Orthogonal Multiple Access OFDM Orthogonal Frequency Division Multiplexing OFDM-GIM OFDM with Generalized IM OFDM-I/Q-IM OFDM with In-phase and Quadrature Index Modulation OFDM-SS OFDM Spread Spectrum PAPR Peak-to-Average Power Ratio PEP Pairwise Error Probability PIEP Pairwise Index Error Probability v PSK Phase Shift Keying QAM Quadrature Amplitude Modulation RIM-OFDM Repeated Index Modulation for OFDM RIM-OFDM-MRC Repeated Index Modulation for OFDM with Maximal Ratio Combining RIM-OFDM-SC Repeated Index Modulation for OFDM with Selection Combining RIM-OFDM-CI Repeated Index Modulation for OFDM with Coordinate Interleaving SC Selection Combining SEP Symbol Error Probability SIMO Single Input Multiple Output S-IM-OFDM Spread IM-OFDM SNR Signal to Noise Ratio SM Spatial Modulation SS Spread Spectrum UWA Underwater Acoustic V2V Vehicle to Vehicle V2X Vehicle to Everything xG x-th Generation vi CONCLUSIONS AND SUGGESTIONS FOR FUTURE WORKS This section summarizes the contributions of the thesis and presents some open problems for future studies A Conclusions This thesis has conducted a detailed investigation on the IM-OFDM system Inspired by the the recent contributions of IM-OFDM, the thesis has proposed two enhanced RIM-OFDM systems to achieve the improved error performance over the conventional IM-OFDM system In particular, the RIM-OFDM system with diversity reception was proposed to simultaneously exploit the frequency and spatial diversity and to achieve the better SEP performance than the conventional IMOFDM with diversity reception The closed-form expressions for the IEP and SEP of the proposed system under both perfect and imperfect channel state information conditions are derived Based on the performance analysis, the impacts of the system parameters on the transmission reliability are evaluated Simulation results are also provided to validate the theoretical analysis The RIM-OFDM with coordinate interleaving was proposed to attain the improved error performance in the index domain and an flexible trade-off between the transmission reliability and the spectral efficiency 76 Additionally, the closed-form expressions for IEP, SEP and BEP were derived for the proposed RIM-OFDM-CI systems These expressions can be used as an efficient framework to investigate the system performance and provide an insight into the impacts of the system parameters on the performance Specially, based on the performance analysis, a simple method without using computer search to optimize the rotation angle of the M -ary modulation constellation is proposed Besides, the lowcomplexity detectors were also introduced to relax the computational complexity requirement of the IM-OFDM detectors The introduced detectors can significantly reduce the detection complexity while still achieve nearly same performance of the optimal ML detector In comparison with the previous IM-OFDM systems, the proposed systems not only attain better transmission reliability but also more flexible in terms of balancing the required performance with the spectral efficiency With their advantages in terms of low complexity and superior in the error performance, the proposed RIM-OFDM systems can be possible candidates to replace the OFDM systems in the future wireless communication networks B Future Works Referring to above conclusions, there are still several possible open problems which require further investigations in order to have a full understanding about applicability of the proposed systems into the future networks as follows: • The proposed RIM-OFDM-MRC/SC system uses ML detector which 77 has high complexity The proposal of detectors to reduce the complexity of ML could be an interesting topic for future research • The proposal in Chapter is considered for SIMO configuration In order to further improve the diversity gain and transmission reliability, extending RIM-OFDM to the MIMO and cooperative communication systems is a challenging topic and very attractive for future works • The performance of the RIM-OFDM-CI system in Chapter is investigated under the perfect CSI condition Evaluating the impacts of channel estimation errors on the system performance is a significantly meaningful topic for future research • The proposals in Chapter and Chapter of the thesis consider the uncoded systems, it is more interesting when evaluating the SEP and BER performance of the system with channel coding • The performance in terms of SEP and BER is analyzed for the two proposed systems Further analysis using other evaluated parameters would probably give additional insights into the performance of the proposed systems 78 PUBLICATIONS [J1] L T T Huyen, and T X Nam, “Performance Analysis of Repeated Index Modulation for OFDM with MRC Diversity over Nakagami-m Fading Channel,” Journal of Science and Technology, No.196, pp 90–102, Feb., 2019 [J2] T T H Le, X N Tran, “Performance Analysis of Repeated Index Modulation for OFDM with MRC and SC diversity Under Imperfect CSI,” AEU - International Journal of Electronics and Communications, (ISI-SCI, Q2, IF=2.853), Vol 107, pp 199-208, Jul 2019, https://doi.org/10.1016/j.aeue.2019.05.022, Available online 23 May, 2019 [J3] L T T Huyen, and T X Nam, “Performance Analysis of Repeated Index Modulation with Coordinate Interleaving over Nakagamim Fading Channel,” Research and Development on Information and Communication Technology (RD-ICT) of Journal of Information and Communication Technology, Vol 2019, No 1, pp 23-30, Jun 2019 [J4] T T H Le, V D Ngo, M T Le, X N Tran, “Repeated Index Modulation-OFDM with Coordinate Interleaving: Performance Optimization and Low-Complexity Detectors,” IEEE Systems Journal, 79 (ISI - SCI, Q1, IF=4.463), vol , no , pp , 20xx (Under review) [C1] T T H Le, X N Tran, “Repeated index modulation for OFDM with space and frequency diversity,” Advanced Technologies for Communications (ATC), 2017 International Conference on IEEE, pp 97–102, Oct., 2017 (Scopus) [C2] T T H Le, V D Ngo, M T Le, X N Tran, “Repeated Index Modulation with Coordinate Interleaved OFDM,” 2018 5th NAFOSTED Conference on Information and Computer Science (NICS), pp 115-119, Nov., 2018 (Scopus) 80 BIBLIOGRAPHY [1] Z E Ankarali, B Pekăoz, and H Arslan, “Flexible Radio Access Beyond 5G: A Future Projection on Waveform, Numerology, and Frame Design Principles,” IEEE Access, vol 5, pp 18 295–18 309, Mar 2017 [2] J G Andrews, S Buzzi, W Choi, S V Hanly, A Lozano, A C Soong, and J C Zhang, “What will 5G be?” IEEE J Sel Areas Commun., vol 32, no 6, pp 1065–1082, 2014 [3] C.-X Wang, F Haider, X Gao, X.-H You, Y Yang, D Yuan, H Aggoune, H Haas, S Fletcher, and E Hepsaydir, “Cellular architecture and key technologies for 5G wireless communication networks,” IEEE Commun Mag., vol 52, no 2, pp 122–130, 2014 [4] E Basar, “Index modulation techniques for 5G wireless networks,” IEEE Commun Mag., vol 54, no 7, pp 168–175, Jun 2016 [5] E Basar, M Wen, R Mesleh, M Di Renzo, Y Xiao, and H Haas, “Index modulation techniques for next-generation wireless networks,” IEEE Access, vol 5, pp 16 693–16 746, Aug., [6] J Crawford, E Chatziantoniou, and Y Ko, “On the SEP analysis of OFDM index modulation with hybrid low complexity greedy de- 81 tection and diversity reception,” IEEE Trans Veh Technol., vol 66, no 9, pp 8103–8118, Apr 2017 [7] E Ba¸sar, “OFDM with index modulation using coordinate interleaving,” IEEE Wireless Commun Lett., vol 4, no 4, pp 381–384, Aug 2015 [8] R Abu-Alhiga and H Haas, “Subcarrier-index modulation OFDM,” in IEEE Int Sym Pers., Indoor and Mobile Radio Commun IEEE, Sep 2009, pp 177181 ă Aygăolă [9] E Baásar, U u, E Panayırcı, and H V Poor, “Orthogonal frequency division multiplexing with index modulation,” IEEE Trans Signal Process., vol 61, no 22, pp 5536–5549, Aug 2013 [10] Y Ko, “A tight upper bound on bit error rate of joint OFDM and multi-carrier index keying,” IEEE Commun Lett., vol 18, no 10, pp 1763–1766, Oct 2014 [11] H Zhang, L.-L Yang, and L Hanzo, “Compressed sensing improves the performance of subcarrier index-modulation-assisted OFDM,” IEEE Access, vol 4, pp 7859–7873, Oct 2016 [12] W Li, H Zhao, C Zhang, L Zhao, and R Wang, “Generalized selecting sub-carrier modulation scheme in OFDM system,” in 2014 IEEE Int Conf on Commun (ICC) 911 82 IEEE, June 2014, pp 907– [13] R Y Mesleh, H Haas, S Sinanovic, C W Ahn, and S Yun, “Spatial modulation,” IEEE Trans Veh Technol., vol 57, no 4, pp 2228–2241, Jul 2008 [14] M Wen, B Ye, E Basar, Q Li, and F Ji, “Enhanced orthogonal frequency division multiplexing with index modulation,” IEEE Trans Wireless Commun., vol 16, no 7, pp 4786–4801, May 2017 [15] J McCaffrey, “Generating the mth lexicographical element of a mathematical combination,” MSDN Library, 2004 [16] D E Knuth, “The Art of Computer Programming, Volume 4, Fascicle 2: Generating All Tuples and Permutations,” 2005 [17] J Choi, “Coded OFDM-IM with transmit diversity,” IEEE Trans Commun., vol 65, no 7, pp 3164–3171, Jul 2017 [18] D Tsonev, S Sinanovic, and H Haas, “Enhanced subcarrier index modulation (SIM) OFDM,” in 2011 IEEE Globecom Workshops (GC Wkshps) IEEE, Dec 2011, pp 728–732 [19] M Wen, Y Zhang, J Li, E Basar, and F Chen, “Equiprobable subcarrier activation method for OFDM with index modulation,” IEEE Commun Lett., vol 20, no 12, pp 2386–2389, Dec 2016 [20] Y Xiao, S Wang, L Dan, X Lei, P Yang, and W Xiang, “OFDM with interleaved subcarrier-index modulation,” IEEE Commun Lett., vol 18, no 8, pp 1447–1450, Jun 2014 83 [21] J Zheng and R Chen, “Achieving transmit diversity in OFDM-IM by utilizing multiple signal constellations,” IEEE Access, vol 5, pp 8978–8988, Aug 2017 [22] M Wen, Y Li, X Cheng, and L Yang, “Index modulated OFDM with ICI self-cancellation in underwater acoustic communications,” in 2014 Int Conf on Comput., Netw and Commun (ICNC) IEEE, Nov 2014, pp 338–342 [23] B Zheng, F Chen, M Wen, F Ji, H Yu, and Y Liu, “Lowcomplexity ML detector and performance analysis for OFDM with in-phase/quadrature index modulation,” IEEE Commun Lett, vol 19, no 11, pp 1893–1896, Nov 2015 [24] T V Luong and Y Ko, “Spread OFDM-IM with precoding matrix and low-complexity detection designs,” IEEE Trans on Veh Technol., vol 67, no 12, pp 11 619–11 626, Dec 2018 [25] T V Luong, Y Ko, N A Vien, D H Nguyen, and M Matthaiou, “Deep Learning-Based Detector for OFDM-IM,” IEEE Wireless Commun Lett., to be published, 2019 [26] M Wen, X Cheng, M Ma, B Jiao, and H V Poor, “On the achievable rate of OFDM with index modulation,” IEEE Trans Signal Process., vol 64, no 8, pp 1919–1932, Apr 2016 [27] T V Luong and Y Ko, “Symbol Error Outage Performance Analysis of MCIK-OFDM over Complex TWDP Fading,” in 2017 European Wireless Conf VDE, May 2017, pp 1–5 84 [28] A Bouhlel, A Sakly, and S Ikki, “DWT based OFDM with index modulation for performance enhancement in the presence of CFO,” Journ Theo and App Infor Techn., vol 95, no 5, p 1156, 2017 [29] T V Luong and Y Ko, “A Tight Bound on BER of MCIK-OFDM With Greedy Detection and Imperfect CSI,” IEEE Commun Lett., vol 21, no 12, pp 2594–2597, Aug 2017 [30] ——, “Impact of Opportunistic Transmission on MCIK-OFDM: Diversity and Coding Gains,” in Proc 4th EAI INISCOM Springer, Aug 2018, pp 221–231 [31] Q Ma, P Yang, Y Xiao, H Bai, and S Li, “Error probability analysis of OFDM-IM with carrier frequency offset,” IEEE Commun Lett., vol 20, no 12, pp 2434–2437, Dec 2016 [32] M Wen, X Cheng, L Yang, Y Li, X Cheng, and F Ji, “Index modulated OFDM for underwater acoustic communications,” IEEE Commun Mag., vol 54, no 5, pp 132–137, May 2016 [33] X Cheng, M Wen, L Yang, and Y Li, “Index modulated OFDM with interleaved grouping for V2X communications,” in 2014 IEEE 17th Int Conf on Intel Trans Sys (ITSC) IEEE, Oct 2014, pp 1097–1104 [34] P.-H Kuo and H Kung, “Subcarrier index coordinate expression (SICE): An ultra-low-power OFDM-compatible wireless communications scheme tailored for internet of things,” in 2014 Int Conf on the Internet of Things (IoT) IEEE, Oct 2014, pp 97–102 85 [35] F Halabi, L Chen, S Parre, S Barthomeuf, R P Giddings, C Aupetit-Berthelemot, A Hami´e, and J Tang, “Subcarrier indexpower modulated optical ofdm and its performance in imdd pon systems,” J Lightw Technol., vol 34, no 9, pp 2228–2234, May, [36] L Chen, F Halabi, R P Giddings, and J Tang, “Subcarrier indexpower modulated optical ofdm with superposition multiplexing for imdd transmission systems,” J Lightw Technol., vol 34, no 22, pp 5284–5292, Nov., [37] E Chatziantoniou, Y Ko, and J Choi, “Non-orthogonal multiple access with multi-carrier index keying,” in European Wireless 2017; 23th European Wireless Conf., May,, pp 1–5 [38] P K Frenger and N A B Svensson, “Parallel combinatory OFDM signaling,” IEEE Trans Commun., vol 47, no 4, pp 558–567, Apr 1999 ă Aygăolă [39] E Baásar, U u, E Panayırcı, and H V Poor, “Orthogonal frequency division multiplexing with index modulation,” in 2012 IEEE Global Commun Conf (GLOBECOM), Anaheim, CA, USA, Dec.,, pp 4741–4746 [40] E Ba¸sar, “Multiple-input multiple-output OFDM with index modulation,” IEEE Signal Process Lett., vol 22, no 12, pp 2259–2263, Dec 2015 [41] B Zheng, M Wen, E Basar, and F Chen, “Multiple-input multipleoutput OFDM with index modulation: Low-complexity detector de86 sign,” IEEE Trans Signal Process., vol 65, no 11, pp 2758–2772, Jun 2017 [42] E Basar, “Performance of multiple-input multiple-output OFDM with index modulation,” in Proc 9th Int Conf Elect Electron Eng.(ELECO), Nov.,, pp 259–263 [43] S Wang, B Xu, H Bai, Y Xiao, and L Dan, “MIMO-OFDM with interleaved subcarrier index modulation,” Sept., 2014 [44] H Zhu, W Wang, Q Huang, and X Gao, “Sub-carrier index modulation OFDM for multiuser MIMO systems with iterative detection,” in 2016 IEEE 27th Annu Int Symp on Pers., Indoor, and Mobile Radio Commun (PIMRC) IEEE, Sept 2016, pp 1–6 [45] F Yao, J Zheng, and Z Li, “MIMO OFDM index modulation with circular-shift-based activation pattern for rapidly time-varying channels,” in 2016 IEEE 83th Veh Technol Conf (VTC Spring) IEEE, May 2016, pp 1–4 [46] H Zhu, W Wang, Q Huang, and X Gao, “Uplink transceiver for subcarrier index modulation OFDM in massive MIMO systems with imperfect channel state information,” in 2016 8th Int Conf on Wireless Commun Signal Process (WCSP), Oct.,, pp 1–6 [47] J Crawford and Y Ko, “Low complexity greedy detection method with generalized multicarrier index keying OFDM,” in 2015 IEEE 26th Annu Int Symp on Pers., Indoor, and Mobile Radio Commun (PIMRC) IEEE, Aug 2015, pp 688–693 87 [48] T V Luong and Y Ko, “The BER analysis of MRC-aided greedy detection for OFDM-IM in presence of uncertain CSI,” IEEE Wireless Commun Lett., vol 7, no 4, pp 566–569, Aug 2018 [49] T V Luong, Y Ko, and J Choi, “Repeated MCIK-OFDM With Enhanced Transmit Diversity Under CSI Uncertainty,” IEEE Trans Wireless Commun., vol 17, no 6, pp 4079–4088, Jun 2018 [50] Q Ma, Y Xiao, L Dan, P Yang, L Peng, and S Li, “Subcarrier allocation for OFDM with index modulation,” IEEE Commun Lett., vol 20, no 7, pp 1469–1472, Jul 2016 [51] X Yang, Z Zhang, P Fu, and J Zhang, “Spectrum-efficient index modulation with improved constellation mapping,” in 2015 Int Workshop on High Mobility Wireless Commun (HMWC) IEEE, Oct 2015, pp 91–95 [52] T Mao, Z Wang, Q Wang, S Chen, and L Hanzo, “Dual-mode index modulation aided OFDM,” IEEE Access, vol 5, pp 50–60, Feb 2017 [53] M Wen, E Basar, Q Li, B Zheng, and M Zhang, “Multiple-mode orthogonal frequency division multiplexing with index modulation,” IEEE Trans Commun., vol 65, no 9, pp 3892–3906, May 2017 [54] J Zheng and R Chen, “Linear processing for intercarrier interference in OFDM index modulation based on capacity maximization,” IEEE Signal Process Lett., vol 24, no 5, pp 683–687, May 2017 88 [55] T V Luong and Y Ko, “Impact of CSI uncertainty on MCIKOFDM: Tight closed-form symbol error probability analysis,” IEEE Trans Veh Technol., vol 67, no 2, pp 1272–1279, Feb 2018 [56] L Xiao, B Xu, H Bai, Y Xiao, X Lei, and S Li, “Performance evaluation in PAPR and ICI for ISIM-OFDM systems,” in 2014 Int Workshop on High Mobility Wireless Commun (HMWC) IEEE, Nov 2014, pp 84–88 [57] L Zhao, H Zhao, K Zheng, and Y Yang, “A high energy efficient scheme with selecting sub-carriers modulation in OFDM system,” in 2012 IEEE Int Conf on Commun (ICC) IEEE, June 2012, pp 5711–5715 [58] J Zheng and H Lv, “Peak-to-average power ratio reduction in OFDM index modulation through convex programming,” IEEE Communications Letters, vol 21, no 7, pp 1505–1508, Jul, [59] G Kaddoum, M F Ahmed, and Y Nijsure, “Code index modulation: A high data rate and energy efficient communication system,” IEEE Communications Letters, vol 19, no 2, pp 175–178, Feb., [60] Q Li, M Wen, E Basar, and F Chen, “Index Modulated OFDM Spread Spectrum,” IEEE Trans Wireless Commun., vol 17, no 4, pp 2360–2374, Apr 2018 [61] A Bury, J Egle, and J Lindner, “Diversity comparison of spreading transforms for multicarrier spread spectrum transmission,” IEEE Trans Commun., vol 51, no 5, pp 774–781, May, 89 [62] S Gao, M Zhang, and X Cheng, “Precoded index modulation for multi-input multi-output OFDM,” IEEE Trans Wireless Commun., vol 17, no 1, pp 17–28, Jan, [63] T V Luong, Y Ko, and J Choi, “Precoding for spread OFDMIM,” in 2018 IEEE 87th Veh Techn Conf (VTC Spring), Jul,, pp 1–5 [64] M K Simon and M.-S Alouini, Digital communication over fading channels John Wiley & Sons, 2005, vol 95 [65] M Chiani, D Dardari, and M K Simon, “New exponential bounds and approximations for the computation of error probability in fading channels,” IEEE Trans Wireless Commun., vol 2, no 4, pp 840–845, Jul 2003 [66] H Lee, J G Andrews, R W Heath Jr, and E J Powers, “The performance of space-time block codes from coordinate interleaved orthogonal designs over Nakagami-m fading channels,” IEEE Trans Commun., vol 57, no 3, pp 653–664, Mar 2009 90 ... MM-IM -OFDM Multi-Mode IM -OFDM MRC Maximal Ratio Combining NOMA Non-Orthogonal Multiple Access OFDM Orthogonal Frequency Division Multiplexing OFDM- GIM OFDM with Generalized IM OFDM- I/Q-IM OFDM. .. Amplitude Modulation RIM -OFDM Repeated Index Modulation for OFDM RIM -OFDM- MRC Repeated Index Modulation for OFDM with Maximal Ratio Combining RIM -OFDM- SC Repeated Index Modulation for OFDM with Selection... to IM -OFDM with coordinate interleaving – Based on the idea of IM -OFDM with coordinate interleaving (IM -OFDM- CI) [7], an enhanced scheme of IM -OFDM, referred to as repeated IM -OFDM- CI (RIM -OFDM- CI)