Abstract
In this paper, we propose a low-complexity maximum a posteriori detector with successive interference cancellation (MAP–SIC) for massive multiple-input multiple-output (MIMO) systems. The basic idea of the proposed MAP–SIC algorithm is to detect and cancel the signal of each user iteratively in order of approximate a posteriori log-likelihood-ratios (LLRs). To obtain the approximate a posteriori LLRs, the proposed method begins with the output of a matched-filter and estimates the mean and variance of interference-plus-noise term for each undetected symbol using the idea of Gaussian approximation. In addition, we also propose a simple strategy based on a posteriori log-likelihood-ratios (LLRs) to update the mean and variance in the iterative process of proposed algorithm. Since there is no need for a matrix inversion and exponential calculations, the complexity of the proposed detector is reduced significantly compared to that of minimum mean squared error (MMSE) and MMSE–SIC. Simulation results substantiate the performance of the proposed detector in the massive MIMO system.



Similar content being viewed by others
Data Availability
Yes.
Code Availability
Yes.
Notes
Although we present the detector assuming BPSK here, the proposed detector is applicable to M-QAM and M-PAM as well. Accordingly, we present simulation results for 4-QAM also in Sect. 3.2.
References
Rusek, F., Persson, D., Lau, B. K., Larsson, E. G., Marzetta, T. L., Edfors, O., & Tufvesson, F. (2013). Scaling up MIMO: Opportunities and challenges with very large arrays. IEEE Signal Processing Magazine, 30(1), 40–60.
Larsson, E. G., Edfors, O., Tufvesson, F., & Marzetta, T. L. (2014). Massive MIMO for next generation wireless systems. IEEE Communications Magazine, 52(2), 186–195.
Gao, X., Edfors, O., Rusek, F., & Tufvesson, F. (2015). Massive MIMO performance evaluation based on measured propagation data. IEEE Transactions on Wireless Communications, 14(7), 3899–3911.
Björnson, E., Larsson, E. G., & Marzetta, T. L. (2016). Massive MIMO: Ten myths and one critical question. IEEE Communications Magazine, 54(2), 114–123.
Xiong, C., Zhang, X., Wu, K., & Yang, D. (2009). A simplified fixed-complexity sphere decoder for V-BLAST systems. IEEE Communications Letters, 13(8), 582–584.
Han, S. S., Cui, T., & Tellambura, C. (2012). Improved K-best sphere detection for uncoded and coded MIMO systems. IEEE Communications Letters, 1(5), 472–475.
Qin, X., Yan, Z., & He, G. (2016). A near-optimal detection scheme based on joint steepest descent and Jacobi method for uplink massive MIMO systems. IEEE Communications Letters, 20(2), 276–279.
Dai, L., Gao, X., Su, X., Han, S., Chih-Lin, I., & Wang, Z. (2015). Low-complexity soft output signal detection based on Gauss-Seidel method for uplink multiuser large-scale MIMO systems. IEEE Transactions on Vehicular Technology, 64(10), 4839–4845.
Minango, J., & De Almeida, C. (2018). Low complexity zero forcing detector based on Newton–Schultz iterative algorithm for massive MIMO systems. IEEE Transactions on Vehicular Technology, 67(12), 11759–11766.
Luo, Z., Liu, S., Zhao, M., & Liu, Y. (2007). A novel fast recursive MMSE-SIC detection algorithm for V-BLAST systems. IEEE Transactions on Wireless Communications, 6(6), 2022–2026.
Srinidhi, N., Datta, T., Chockalingam, A., & Rajan, B. S. (2011). Layered Tabu search algorithm for large-MIMO detection and a lower bound on ML performance. IEEE Transactions on Communications, 59(11), 2955–2963.
Zeng, J., Lin, J., & Wang, Z. (2018). Low complexity message passing detection algorithm for large-scale MIMO systems. IEEE Wireless Communications Letters, 7(5), 708–711.
Mohammadkarimi, M., Mehrabi, M., Ardakani, M., & Jing, Y. (2019). Deep Learning-Based Sphere Decoding. IEEE Transactions on Wireless Communications, 18(9), 4368–4378.
He, H., Wen, C., Jin, S., & Li, G. Y. (2020). Model-driven deep learning for MIMO detection. IEEE Transactions on Signal Processing, 68, 1702–1715.
Yang, S., Wang, L., Lv, T., & Hanzo, L. (2013). Approximate Bayesian probabilistic-data-association-aided iterative detection for MIMO systems using arbitrary M-ary modulation. IEEE Transactions on Vehicular Technology, 62(3), 1228–1240.
Svac, P., Meyer, F., Riegler, E., & Hlawatsch, F. (2013). Soft-heuristic detectors for large MIMO systems. IEEE Transactions on Signal Processing, 61(18), 4573–4586.
Funding
None.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
All authors declare that they have no conflict of interest.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Wang, H., Miao, X. & Liu, Q. A Low-Complexity MAP–SIC Detector for Massive MIMO Systems. Wireless Pers Commun 119, 865–876 (2021). https://doi.org/10.1007/s11277-021-08242-4
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11277-021-08242-4