Exact Analysis of MIMO Channel Estimation Based on Superimposed Training
DOI:
https://doi.org/10.26636/jtit.2024.2.1557Keywords:
channel estimation, DC offset, MIMO channel, superimposed training, ZCZ sequencesAbstract
In this paper, channel estimation capabilities of a multiple-input multiple-output (MIMO) system using superimposed training sequences are investigated. A new expression for estimation-error variance is derived. It is shown that the training sequences must be balanced and must have specific correlation properties. The latter are required only in a specific zone. Sequences that satisfy these criteria exist and are referred to as zero-correlation zone (ZCZ) solutions. Consequently, by using balanced ZCZ sequences, harmful direct current (DC) offset can be removed. Owing to their zero-cross correlation, interference from other transmitting antennas may be eliminated. Furthermore, a closed-form expression of the estimation-error variance can be obtained due to their impulse-like autocorrelation. To increase the number of antennas in the MIMO system, a new construction of ZCZ sequence set is proposed, in which all sequences are balanced
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References
[1] S. Gong et al., "Robust Superimposed Training Optimization for UAV Assisted Communication Systems", IEEE Transactions on Wireless Communications, vol. 19, no. 3, pp. 1704-1721, 2020.
View in Google Scholar
[2] Y. Zhang et al., "Wireless-Powered Cell-Free Massive MIMO with Superimposed Pilot Transmission", IEEE Communications Letters, vol. 26, no. 7, pp. 1688-1692, 2022.
View in Google Scholar
[3] N. Garg, H. Ge, and T. Ratnarajah, "Generalized Superimposed Training Scheme in IRS-assisted Cell-free Massive MIMO Systems", IEEE Journal of Selected Topics in Signal Processing, vol. 16, no. 5, pp. 1157-1171, 2022.
View in Google Scholar
[4] H. Zhang and B. Sheng, "An Enhanced Partial-Data Superimposed Training Scheme for OFDM Systems", IEEE Communications Letters, vol. 24, no. 8, pp. 1804-1807, 2020.
View in Google Scholar
[5] K. Chen-Hu, M.J. Fernández-Getino García, A.M. Tonello, and A.G. Armada, "Pilot Pouring in Superimposed Training for Channel Estimation in CB-FMT", IEEE Transactions on Wireless Communications, vol. 20, no. 6, pp. 3366-3380, 2021.
View in Google Scholar
[6] X. Xie, M. Peng, F. Gao, and W. Wang, "Superimposed Training Based Channel Estimation for Uplink Multiple Access Relay Networks", IEEE Transactions on Wireless Communications, vol. 14, no. 8, pp. 4439-4453, 2015.
View in Google Scholar
[7] S. He, J.K. Tugnait, and X. Meng, "On Superimposed Training for MIMO Channel Estimation and Symbol Detection", IEEE Transactions on Signal Processing, vol. 55, no. 6, pp. 3007-3021, 2007.
View in Google Scholar
[8] E. Alameda-Hernandez et al., "Frame/Training Sequence Synchronization and DC-Offset Removal for (Data-Dependent) Superimposed Training Based Channel Estimation", IEEE Transactions on Signal Processing, vol. 55, no. 6, pp. 2557-2569, 2007.
View in Google Scholar
[9] A.G. Orozco-Lugo, M.M. Lara, and D.C. McLernon, "Channel Estimation Using Implicit Training", IEEE Transactions on Signal Processing, vol. 52, no. 1, pp. 240-254, 2004.
View in Google Scholar
[10] W. Yuan and P. Fan, "Implicit MIMO Channel Estimation Without DC-Offset Based on ZCZ Training Sequences", IEEE Signal Processing Letters, vol. 13, no. 9, pp. 521-524, 2006.
View in Google Scholar
[11] M. Addad, A. Djebbari and I. Dayoub, "Performance of ZCZ Codes in QS-DS-CDMA Communication Systems", Signal Processing, vol. 164, pp. 146-150, 2019.
View in Google Scholar
[12] M. Addad and A. Djebbari, "Adequate Spreading Codes to Reduce MAI in Quasi-synchronous MC-DS-CDMA System", IET Communications, vol. 14, no. 12, pp. 1992-1996, 2020.
View in Google Scholar
[13] P.Z. Fan, N. Suehiro, N. Kuroyanagi, and X.M. Deng, "Class of Binary Sequences with Zero Correlation Zone", Electronics Letters, vol. 35, no. 10, p. 777-779, 1999.
View in Google Scholar
[14] T. Maeda, S. Kanemoto, and T. Hayashi, "A Novel Class of Binary Zero-correlation Zone Sequence Sets", TENCON 2010-2010 IEEE Region 10 Conference, Fukuoka, Japan, 2010.
View in Google Scholar
[15] J.S. Cha et al., "New Binary Sequences with Zero-correlation Duration for Approximately Synchronized CDMA", Electronics Letters, vol. 36, no. 11, pp. 991-993, 2000.
View in Google Scholar
[16] M. Addad and A. Djebbari, "Simultaneous Multiple Cable Fault Locating Using Zero Correlation Zone Codes", IEEE Sensors Journal, vol. 21, no. 2, pp. 907-913, 2021.
View in Google Scholar
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Copyright (c) 2024 Mouad Addad, Hanane Meriem Toaba, Ali Djebbari
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