Abstract
We propose a novel method for joint two-dimensional (2D) direction-of-arrival (DOA) and channel estimation with data detection for uniform rectangular arrays (URAs) for the massive multiple-input multiple-output (MIMO) systems. The conventional DOA estimation algorithms usually assume that the channel impulse responses are known exactly. However, the large number of antennas in a massive MIMO system can lead to a challenge in estimating accurate corresponding channel impulse responses. In contrast, a joint DOA and channel estimation scheme is proposed, which first estimates the channel impulse responses for the links between the transmitters and antenna elements using training sequences. After that, the DOAs of the waves are estimated based on a unitary ESPRIT algorithm using previous channel impulse response estimates instead of accurate channel impulse responses and then, the enhanced channel impulse response estimates can be obtained. The proposed estimator enjoys closed-form expressions, and thus it bypasses the search and pairing processes. In addition, a low-complexity approach toward data detection is presented by reducing the dimension of the inversion matrix in massive MIMO systems. Different cases for the proposed method are analyzed by changing the number of antennas. Experimental results demonstrate the validity of the proposed method.
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Alibi, D., Javed, U., Wen, F., et al., 2016. 2D DOA estimation method based on channel state information for uniform circular array. 4th Int. Conf. on Ubiquitous Positioning, Indoor Navigation and Location Based Services, p.68–72. http://dx.doi.org/10.1109/UPINLBS.2016.7809952
Barabell, A., 1983. Improving the resolution performance of eigenstructure-based direction finding algorithm. IEEE Int. Conf. on Acoustics, Speech, and Signal Processing, p.336–339. http://dx.doi.org/10.1109/ICASSP.1983.1172124
Blanz, J.J., Papathanassiou, A., Haardt, M., et al., 2000. Smart antennas for combined DOA and joint channel estimation in time-slotted CDMA mobile radio systems with joint detection. IEEE Trans. Veh. Technol., 49(2): 293–306. http://dx.doi.org/10.1109/25.832962
Capon, J., 1983. Maximum-likelihood spectral estimation. In: Haykin, S. (Ed.), Nonlinear Methods of Spectral Analysis. Springer Berlin Heidelberg, p.155–179. http://dx.doi.org/10.1007/3-540-12386-5_12
D’Amico, A.A., Morelli, M., 2009. Joint channel and DOA estimation for multicarrier CDMA uplink transmissions. IEEE Trans. Veh. Technol., 58(1): 116–125. https://dx.doi.org/10.1109/TVT.2008.921624
D’Amico, A.A., Mengali, U., Morelli, M., 2004. DOA and channel parameter estimation for wideband CDMA systems. IEEE Trans. Wirel. Commun., 3(6): 1942–1947. http://dx.doi.org/10.1109/TWC.2004.837446
Haardt, M., Nossek, J.A., 1995. Unitary ESPRIT: how to obtain increased estimation accuracy with a reduced computational burden. IEEE Trans. Signal Process., 43(5): 1232–1242. http://dx.doi.org/10.1109/78.382406
Hu, A., Lv, T., Gao, H., et al., 2014. An ESPRIT-based approach for 2-D localization of incoherently distributed sources in massive MIMO systems. IEEE J. Sel. Topics Signal Process., 8(5): 996–1011. http://dx.doi.org/10.1109/JSTSP.2014.2313409
Lan, X., Li, Y., Wang, E., 2016. A RARE algorithm for 2D DOA estimation based on nested array in massive MIMO system. IEEE Access, 4: 3806–3814. http://dx.doi.org/10.1109/ACCESS.2016.2583458
Larsson, E.G., Edfors, O., Tufvesson, F., et al., 2014. Massive MIMO for next generation wireless systems. IEEE Commun. Mag., 52(2): 186–195. http://dx.doi.org/10.1109/MCOM.2014.6736761
Liu, L., Li, Y., Zhang, J., 2014. DoA estimation and achievable rate analysis for 3D millimeter wave massive MIMO systems. IEEE 15th Int. Workshop on Signal Processing Advances in Wireless Communications, p.6–10. http://dx.doi.org/10.1109/SPAWC.2014.6941306
Marzetta, T.L., 2010. Noncooperative cellular wireless with unlimited numbers of base station antennas. IEEE Trans. Wirel. Commun., 9(11): 3590–3600. http://dx.doi.org/10.1109/TWC.2010.092810.091092
Roy, R., Kailath, T., 1989. ESPRIT-estimation of signal parameters via rotational invariance techniques. IEEE Trans. Acoust. Speech Signal Process., 37(7): 984–995. http://dx.doi.org/10.1109/29.32276
Rusek, F., Persson, D., Lau, B.K., et al., 2013. Scaling up MIMO: opportunities and challenges with very large arrays. IEEE Signal Process. Mag., 30(1): 40–60. http://dx.doi.org/10.1109/MSP.2011.2178495
Schmidt, R., 1986. Multiple emitter location and signal parameter estimation. IEEE Trans. Antennas Propag., 34(3): 276–280. http://dx.doi.org/10.1109/TAP.1986.1143830
Wang, A., Liu, L., Zhang, J., 2012. Low complexity direction of arrival (DoA) estimation for 2D massive MIMO systems. IEEE GLOBECOM Workshops, p.703–707. http://dx.doi.org/10.1109/GLOCOMW.2012.6477660
Wang, T., Ai, B., He, R., et al., 2015. Two-dimension direction-of-arrival estimation for massive MIMO systems. IEEE Access, 3: 2122–2128. http://dx.doi.org/10.1109/ACCESS.2015.2496944
Yang, K., Wu, J., Li, W., 2014. A low-complexity directionof-arrival estimation algorithm for full-dimension massive MIMO systems. IEEE Int. Conf. on Communication Systems, p.472–476. http://dx.doi.org/10.1109/ICCS.2014.7024848
Zhang, R., Wang, S., Zhong, Z., et al., 2015. Multipath DOA estimation by rotational invariance on array channel impulse response. IEEE Antennas Wirel. Propag. Lett., 15: 964–967. http://dx.doi.org/10.1109/LAWP.2015.2486624
Zhu, Y., Liu, L., Wang, A., et al., 2013. DoA estimation and capacity analysis for 2D active massive MIMO systems. IEEE Int. Conf. on Communications, p.4630–4634. http://dx.doi.org/10.1109/ICC.2013.6655301
Zoltowski, M.D., Haardt, M., Mathews, C.P., 1996. Closedform 2-D angle estimation with rectangular arrays in element space or beamspace via unitary ESPRIT. IEEE Trans. Signal Process., 44(2): 316–328. http://dx.doi.org/10.1109/78.485927
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Project supported by Ericsson and the National Natural Science Foundation of China (No. 61371075)
ORCID: Ze-song FEI, http://orcid.org/0000-0002-7576-625X
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Kuang, Jm., Zhou, Y. & Fei, Zs. Joint DOA and channel estimation with data detection based on 2D unitary ESPRIT in massive MIMO systems. Frontiers Inf Technol Electronic Eng 18, 841–849 (2017). https://doi.org/10.1631/FITEE.1700025
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DOI: https://doi.org/10.1631/FITEE.1700025
Key words
- Two-dimensional (2D) direction-of-arrival (DOA) estimation
- Channel impulse response estimation
- Data detection
- Uniform rectangular array (URA)
- Massive multiple-input multiple-output (MIMO)